TY  - CONF
AU  - Tekel, Juraj
AU  - Šubjaková, Mária
AU  - Prekrat, Dragan
AU  - Ranković, Dragana
AU  - Todorović-Vasović, Kristina Neli
AU  - Kováčik, Samuel
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5223
AB  - The UV/IR-mixing phenomenon of non-commutative field theories is manifested by the existence
of a non-local, striped phase in the scalar field theory, where the field does not oscillate around the
same value in the whole space. We will consider modifications of the standard "kinetic term plus
potential" actions for Hermitian matrix models which describe theories free of the UV/IR-mixing
and discuss the expected receding of the striped phase in the phase diagram. We will present
results for the case of the modified theory on the fuzzy sphere and for the truncated Heisenberg
algebra formulation of the Grosse-Wulkenhaar model on the plane.
PB  - Sissa Medialab srl
C3  - Proceedings of Science
T1  - Towards removal of striped phase in matrix model description of fuzzy field theories
VL  - 436
DO  - 10.22323/1.436.0310
ER  - 

@conference{
author = "Tekel, Juraj and Šubjaková, Mária and Prekrat, Dragan and Ranković, Dragana and Todorović-Vasović, Kristina Neli and Kováčik, Samuel",
year = "2023",
abstract = "The UV/IR-mixing phenomenon of non-commutative field theories is manifested by the existence
of a non-local, striped phase in the scalar field theory, where the field does not oscillate around the
same value in the whole space. We will consider modifications of the standard "kinetic term plus
potential" actions for Hermitian matrix models which describe theories free of the UV/IR-mixing
and discuss the expected receding of the striped phase in the phase diagram. We will present
results for the case of the modified theory on the fuzzy sphere and for the truncated Heisenberg
algebra formulation of the Grosse-Wulkenhaar model on the plane.",
publisher = "Sissa Medialab srl",
journal = "Proceedings of Science",
title = "Towards removal of striped phase in matrix model description of fuzzy field theories",
volume = "436",
doi = "10.22323/1.436.0310"
}

Tekel, J., Šubjaková, M., Prekrat, D., Ranković, D., Todorović-Vasović, K. N.,& Kováčik, S.. (2023). Towards removal of striped phase in matrix model description of fuzzy field theories. in Proceedings of Science
Sissa Medialab srl., 436.
https://doi.org/10.22323/1.436.0310

Tekel J, Šubjaková M, Prekrat D, Ranković D, Todorović-Vasović KN, Kováčik S. Towards removal of striped phase in matrix model description of fuzzy field theories. in Proceedings of Science. 2023;436.
doi:10.22323/1.436.0310 .

Tekel, Juraj, Šubjaková, Mária, Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Kristina Neli, Kováčik, Samuel, "Towards removal of striped phase in matrix model description of fuzzy field theories" in Proceedings of Science, 436 (2023),
https://doi.org/10.22323/1.436.0310 . .

TY  - JOUR
AU  - Prekrat, Dragan
AU  - Ranković, Dragana
AU  - Todorović-Vasović, Kristina Neli
AU  - Kováčik, Samuel
AU  - Tekel, Juraj
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4421
AB  - We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a renormalizable noncommutative field theory. The extra term breaks the unitary symmetry of the action and leads, after perturbative calculation of the unitary integral, to an effective multitrace matrix model. Accompanying the analytical treatment of this multitrace approximation, we also study the model numerically by Monte Carlo simulations. The phase structure of the model is investigated, and a modified phase diagram is identified. We observe a shift of the transition line between the 1-cut and 2-cut phases of the theory that is consistent with the previous numerical simulations and also with the removal of the noncommutative phase in the Grosse-Wulkenhaar model.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - Journal of High Energy Physics
T1  - Approximate treatment of noncommutative curvature in quartic matrix model
IS  - 1
DO  - 10.1007/JHEP01(2023)109
ER  - 

@article{
author = "Prekrat, Dragan and Ranković, Dragana and Todorović-Vasović, Kristina Neli and Kováčik, Samuel and Tekel, Juraj",
year = "2023",
abstract = "We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a renormalizable noncommutative field theory. The extra term breaks the unitary symmetry of the action and leads, after perturbative calculation of the unitary integral, to an effective multitrace matrix model. Accompanying the analytical treatment of this multitrace approximation, we also study the model numerically by Monte Carlo simulations. The phase structure of the model is investigated, and a modified phase diagram is identified. We observe a shift of the transition line between the 1-cut and 2-cut phases of the theory that is consistent with the previous numerical simulations and also with the removal of the noncommutative phase in the Grosse-Wulkenhaar model.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Journal of High Energy Physics",
title = "Approximate treatment of noncommutative curvature in quartic matrix model",
number = "1",
doi = "10.1007/JHEP01(2023)109"
}

Prekrat, D., Ranković, D., Todorović-Vasović, K. N., Kováčik, S.,& Tekel, J.. (2023). Approximate treatment of noncommutative curvature in quartic matrix model. in Journal of High Energy Physics
Springer Science and Business Media Deutschland GmbH.(1).
https://doi.org/10.1007/JHEP01(2023)109

Prekrat D, Ranković D, Todorović-Vasović KN, Kováčik S, Tekel J. Approximate treatment of noncommutative curvature in quartic matrix model. in Journal of High Energy Physics. 2023;(1).
doi:10.1007/JHEP01(2023)109 .

Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Kristina Neli, Kováčik, Samuel, Tekel, Juraj, "Approximate treatment of noncommutative curvature in quartic matrix model" in Journal of High Energy Physics, no. 1 (2023),
https://doi.org/10.1007/JHEP01(2023)109 . .

TY  - JOUR
AU  - Ranković, Dragana
AU  - Sivčević, Vladimir
AU  - Batova, Anna
AU  - Zdravković, Slobodan
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4722
AB  - In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, relying on the known general model. We introduce the W-potential energy, describing a crucial interaction among constitutive particles within the microtubule. Three kinds of this potential are studied, one symmetrical and two non-symmetrical. We demonstrate an advantage of the latter ones. Solutions of crucial differential equations are solitary waves. The stability of the solutions having physical sense is studied. We show that only subsonic solitary waves are stable, while supersonic ones are not.
PB  - Elsevier
T2  - Chaos, Solitons & Fractals
T1  - Three kinds of W-potentials in nonlinear biophysics of microtubules
VL  - 170
DO  - 10.1016/j.chaos.2023.113345
ER  - 

@article{
author = "Ranković, Dragana and Sivčević, Vladimir and Batova, Anna and Zdravković, Slobodan",
year = "2023",
abstract = "In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, relying on the known general model. We introduce the W-potential energy, describing a crucial interaction among constitutive particles within the microtubule. Three kinds of this potential are studied, one symmetrical and two non-symmetrical. We demonstrate an advantage of the latter ones. Solutions of crucial differential equations are solitary waves. The stability of the solutions having physical sense is studied. We show that only subsonic solitary waves are stable, while supersonic ones are not.",
publisher = "Elsevier",
journal = "Chaos, Solitons & Fractals",
title = "Three kinds of W-potentials in nonlinear biophysics of microtubules",
volume = "170",
doi = "10.1016/j.chaos.2023.113345"
}

Ranković, D., Sivčević, V., Batova, A.,& Zdravković, S.. (2023). Three kinds of W-potentials in nonlinear biophysics of microtubules. in Chaos, Solitons & Fractals
Elsevier., 170.
https://doi.org/10.1016/j.chaos.2023.113345

Ranković D, Sivčević V, Batova A, Zdravković S. Three kinds of W-potentials in nonlinear biophysics of microtubules. in Chaos, Solitons & Fractals. 2023;170.
doi:10.1016/j.chaos.2023.113345 .

Ranković, Dragana, Sivčević, Vladimir, Batova, Anna, Zdravković, Slobodan, "Three kinds of W-potentials in nonlinear biophysics of microtubules" in Chaos, Solitons & Fractals, 170 (2023),
https://doi.org/10.1016/j.chaos.2023.113345 . .

TY  - JOUR
AU  - Ranković, Dragana
AU  - Zdravković, Slobodan
PY  - 2022
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4723
AB  - This work represents a contribution to modelling nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. Their dynamics can be explained in terms of kink and antikink solitary waves. Special attention was paid to the stability of solitonic solutions of differential equations describing the dynamics of microtubules. It is shown that subsonic solitons are stable, while supersonic ones are not.
PB  - Elsevier
T2  - Chaos, Solitons and Fractals
T1  - Two component model of microtubules – subsonic and supersonic solitary waves
VL  - 164
DO  - 10.1016/j.chaos.2022.112693
ER  - 

@article{
author = "Ranković, Dragana and Zdravković, Slobodan",
year = "2022",
abstract = "This work represents a contribution to modelling nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. Their dynamics can be explained in terms of kink and antikink solitary waves. Special attention was paid to the stability of solitonic solutions of differential equations describing the dynamics of microtubules. It is shown that subsonic solitons are stable, while supersonic ones are not.",
publisher = "Elsevier",
journal = "Chaos, Solitons and Fractals",
title = "Two component model of microtubules – subsonic and supersonic solitary waves",
volume = "164",
doi = "10.1016/j.chaos.2022.112693"
}

Ranković, D.,& Zdravković, S.. (2022). Two component model of microtubules – subsonic and supersonic solitary waves. in Chaos, Solitons and Fractals
Elsevier., 164.
https://doi.org/10.1016/j.chaos.2022.112693

Ranković D, Zdravković S. Two component model of microtubules – subsonic and supersonic solitary waves. in Chaos, Solitons and Fractals. 2022;164.
doi:10.1016/j.chaos.2022.112693 .

Ranković, Dragana, Zdravković, Slobodan, "Two component model of microtubules – subsonic and supersonic solitary waves" in Chaos, Solitons and Fractals, 164 (2022),
https://doi.org/10.1016/j.chaos.2022.112693 . .

TY  - CONF
AU  - Zdravković, Slobodan
AU  - Ranković, Dragana
PY  - 2022
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5165
AB  - In the present article we investigate the nonlinear dynamics of 
microtubules, the basic components of the eukaryotic cytoskeleton, and 
rely on the known general model. A crucial interaction among 
constitutive particles is modelled using W-potential. Three kinds of this 
potential are studied, symmetrical and two non-symmetrical. We 
demonstrate an advantage of the latter ones.
PB  - Serbian Academy of Nonlinear Sciences, Belgrade
C3  - Proceedings of the 2nd CONFERENCE ON NONLINEARITY (October 18 – 22, 2021, Belgrade, Serbia)
T1  - W-potentials in nonlinear biophysics of microtubules
SP  - 136
EP  - 149
UR  - https://hdl.handle.net/21.15107/rcub_farfar_5165
ER  - 

@conference{
author = "Zdravković, Slobodan and Ranković, Dragana",
year = "2022",
abstract = "In the present article we investigate the nonlinear dynamics of 
microtubules, the basic components of the eukaryotic cytoskeleton, and 
rely on the known general model. A crucial interaction among 
constitutive particles is modelled using W-potential. Three kinds of this 
potential are studied, symmetrical and two non-symmetrical. We 
demonstrate an advantage of the latter ones.",
publisher = "Serbian Academy of Nonlinear Sciences, Belgrade",
journal = "Proceedings of the 2nd CONFERENCE ON NONLINEARITY (October 18 – 22, 2021, Belgrade, Serbia)",
title = "W-potentials in nonlinear biophysics of microtubules",
pages = "136-149",
url = "https://hdl.handle.net/21.15107/rcub_farfar_5165"
}

Zdravković, S.,& Ranković, D.. (2022). W-potentials in nonlinear biophysics of microtubules. in Proceedings of the 2nd CONFERENCE ON NONLINEARITY (October 18 – 22, 2021, Belgrade, Serbia)
Serbian Academy of Nonlinear Sciences, Belgrade., 136-149.
https://hdl.handle.net/21.15107/rcub_farfar_5165

Zdravković S, Ranković D. W-potentials in nonlinear biophysics of microtubules. in Proceedings of the 2nd CONFERENCE ON NONLINEARITY (October 18 – 22, 2021, Belgrade, Serbia). 2022;:136-149.
https://hdl.handle.net/21.15107/rcub_farfar_5165 .

Zdravković, Slobodan, Ranković, Dragana, "W-potentials in nonlinear biophysics of microtubules" in Proceedings of the 2nd CONFERENCE ON NONLINEARITY (October 18 – 22, 2021, Belgrade, Serbia) (2022):136-149,
https://hdl.handle.net/21.15107/rcub_farfar_5165 .

TY  - JOUR
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Ranković, Dragana
PY  - 2021
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/3814
AB  - We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - Journal of High Energy Physics
T1  - Detecting scaling in phase transitions on the truncated Heisenberg algebra
VL  - 2021
IS  - 3
DO  - 10.1007/JHEP03(2021)197
ER  - 

@article{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Ranković, Dragana",
year = "2021",
abstract = "We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Journal of High Energy Physics",
title = "Detecting scaling in phase transitions on the truncated Heisenberg algebra",
volume = "2021",
number = "3",
doi = "10.1007/JHEP03(2021)197"
}

Prekrat, D., Todorović-Vasović, K. N.,& Ranković, D.. (2021). Detecting scaling in phase transitions on the truncated Heisenberg algebra. in Journal of High Energy Physics
Springer Science and Business Media Deutschland GmbH., 2021(3).
https://doi.org/10.1007/JHEP03(2021)197

Prekrat D, Todorović-Vasović KN, Ranković D. Detecting scaling in phase transitions on the truncated Heisenberg algebra. in Journal of High Energy Physics. 2021;2021(3).
doi:10.1007/JHEP03(2021)197 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Ranković, Dragana, "Detecting scaling in phase transitions on the truncated Heisenberg algebra" in Journal of High Energy Physics, 2021, no. 3 (2021),
https://doi.org/10.1007/JHEP03(2021)197 . .

TY  - CONF
AU  - Ranković, Dragana
PY  - 2018
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5188
AB  - Bifurcations of equilibria of two coupled FitzHugh-Nagumo excitable
systems are analyzed. It is shown that there are domains for values of
coupling and excitability parameters for all three types of Hopf bifurcation.
The point of codimension 2 generalized Hopf bifurcation depends
on time-scale ratio of the two variables.
PB  - Faculty of Science University of Kragujevac, Serbia
C3  - XIV Sebian Mathematical Congress (14SMAK 2018), May 16–19, 2018 Kragujevac, Serbia, Book of Abstracts
T1  - Generalized Hopf bifurcation in coupled excitable systems
SP  - 89
EP  - 89
UR  - https://hdl.handle.net/21.15107/rcub_farfar_5188
ER  - 

@conference{
author = "Ranković, Dragana",
year = "2018",
abstract = "Bifurcations of equilibria of two coupled FitzHugh-Nagumo excitable
systems are analyzed. It is shown that there are domains for values of
coupling and excitability parameters for all three types of Hopf bifurcation.
The point of codimension 2 generalized Hopf bifurcation depends
on time-scale ratio of the two variables.",
publisher = "Faculty of Science University of Kragujevac, Serbia",
journal = "XIV Sebian Mathematical Congress (14SMAK 2018), May 16–19, 2018 Kragujevac, Serbia, Book of Abstracts",
title = "Generalized Hopf bifurcation in coupled excitable systems",
pages = "89-89",
url = "https://hdl.handle.net/21.15107/rcub_farfar_5188"
}

Ranković, D.. (2018). Generalized Hopf bifurcation in coupled excitable systems. in XIV Sebian Mathematical Congress (14SMAK 2018), May 16–19, 2018 Kragujevac, Serbia, Book of Abstracts
Faculty of Science University of Kragujevac, Serbia., 89-89.
https://hdl.handle.net/21.15107/rcub_farfar_5188

Ranković D. Generalized Hopf bifurcation in coupled excitable systems. in XIV Sebian Mathematical Congress (14SMAK 2018), May 16–19, 2018 Kragujevac, Serbia, Book of Abstracts. 2018;:89-89.
https://hdl.handle.net/21.15107/rcub_farfar_5188 .

Ranković, Dragana, "Generalized Hopf bifurcation in coupled excitable systems" in XIV Sebian Mathematical Congress (14SMAK 2018), May 16–19, 2018 Kragujevac, Serbia, Book of Abstracts (2018):89-89,
https://hdl.handle.net/21.15107/rcub_farfar_5188 .

TY  - JOUR
AU  - Ilić, Tanja
AU  - Pantelić, Ivana
AU  - Lunter, Dominique
AU  - Dodević, Sanela
AU  - Marković, Bojan
AU  - Ranković, Dragana
AU  - Daniels, Rolf
AU  - Savić, Snežana
PY  - 2017
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2826
AB  - This work aimed to prove the ability of "ready-to-use" topical vehicles based on alkyl polyglucoside-mixed emulsifier (with/without co-solvent modifications) to replace the conventionally used pharmacopoeial bases (e.g., non-ionic hydrophilic cream) in compounding practice. For this purpose, considering the regulatory efforts to establish alternative, scientifically valid methods for evaluating therapeutic equivalence of topical semisolids, we performed a comparative assessment of microstructure, selected critical quality attributes (CQAs) and in vitro/in vivo product performances, by utilizing aceclofenac as a model drug. The differences in composition between investigated samples have imposed remarkable variances in monitored CQAs (particularly in the amount of aceclofenac dissolved, rheological properties and water distribution mode), reflecting the distinct differences in microstructure formed, as partially observed by polarization microscopy and confocal Raman spectral imaging. Although not fully indicative of the in vivo performances, in vitro release data (vertical diffusion vs. immersion cells) proved the microstructure peculiarities, asserting the rheological properties as decisive factor for obtained liberation profiles. Contrary, in vitro permeation results obtained using pig ear epidermis correlated well with in vivo dermatopharmacokinetic data and distinguished unequivocally between tested formulations, emphasizing the importance of skin/vehicle interactions. In summary, suggested multi-faceted approach can provide adequate proof on topical semisolids therapeutic equivalence or lack thereof.
PB  - Elsevier Science BV, Amsterdam
T2  - International Journal of Pharmaceutics
T1  - Critical quality attributes, in vitro release and correlated in vitro skin permeation-in vivo tape stripping collective data for demonstrating therapeutic (non) equivalence of topical semisolids: A case study of "ready-to-use" vehicles
VL  - 528
IS  - 1-2
SP  - 253
EP  - 267
DO  - 10.1016/j.ijpharm.2017.06.018
ER  - 

@article{
author = "Ilić, Tanja and Pantelić, Ivana and Lunter, Dominique and Dodević, Sanela and Marković, Bojan and Ranković, Dragana and Daniels, Rolf and Savić, Snežana",
year = "2017",
abstract = "This work aimed to prove the ability of "ready-to-use" topical vehicles based on alkyl polyglucoside-mixed emulsifier (with/without co-solvent modifications) to replace the conventionally used pharmacopoeial bases (e.g., non-ionic hydrophilic cream) in compounding practice. For this purpose, considering the regulatory efforts to establish alternative, scientifically valid methods for evaluating therapeutic equivalence of topical semisolids, we performed a comparative assessment of microstructure, selected critical quality attributes (CQAs) and in vitro/in vivo product performances, by utilizing aceclofenac as a model drug. The differences in composition between investigated samples have imposed remarkable variances in monitored CQAs (particularly in the amount of aceclofenac dissolved, rheological properties and water distribution mode), reflecting the distinct differences in microstructure formed, as partially observed by polarization microscopy and confocal Raman spectral imaging. Although not fully indicative of the in vivo performances, in vitro release data (vertical diffusion vs. immersion cells) proved the microstructure peculiarities, asserting the rheological properties as decisive factor for obtained liberation profiles. Contrary, in vitro permeation results obtained using pig ear epidermis correlated well with in vivo dermatopharmacokinetic data and distinguished unequivocally between tested formulations, emphasizing the importance of skin/vehicle interactions. In summary, suggested multi-faceted approach can provide adequate proof on topical semisolids therapeutic equivalence or lack thereof.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "International Journal of Pharmaceutics",
title = "Critical quality attributes, in vitro release and correlated in vitro skin permeation-in vivo tape stripping collective data for demonstrating therapeutic (non) equivalence of topical semisolids: A case study of "ready-to-use" vehicles",
volume = "528",
number = "1-2",
pages = "253-267",
doi = "10.1016/j.ijpharm.2017.06.018"
}

Ilić, T., Pantelić, I., Lunter, D., Dodević, S., Marković, B., Ranković, D., Daniels, R.,& Savić, S.. (2017). Critical quality attributes, in vitro release and correlated in vitro skin permeation-in vivo tape stripping collective data for demonstrating therapeutic (non) equivalence of topical semisolids: A case study of "ready-to-use" vehicles. in International Journal of Pharmaceutics
Elsevier Science BV, Amsterdam., 528(1-2), 253-267.
https://doi.org/10.1016/j.ijpharm.2017.06.018

Ilić T, Pantelić I, Lunter D, Dodević S, Marković B, Ranković D, Daniels R, Savić S. Critical quality attributes, in vitro release and correlated in vitro skin permeation-in vivo tape stripping collective data for demonstrating therapeutic (non) equivalence of topical semisolids: A case study of "ready-to-use" vehicles. in International Journal of Pharmaceutics. 2017;528(1-2):253-267.
doi:10.1016/j.ijpharm.2017.06.018 .

Ilić, Tanja, Pantelić, Ivana, Lunter, Dominique, Dodević, Sanela, Marković, Bojan, Ranković, Dragana, Daniels, Rolf, Savić, Snežana, "Critical quality attributes, in vitro release and correlated in vitro skin permeation-in vivo tape stripping collective data for demonstrating therapeutic (non) equivalence of topical semisolids: A case study of "ready-to-use" vehicles" in International Journal of Pharmaceutics, 528, no. 1-2 (2017):253-267,
https://doi.org/10.1016/j.ijpharm.2017.06.018 . .

TY  - JOUR
AU  - Stević, Stevo
AU  - Ranković, Dragana
PY  - 2016
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2669
AB  - The problem of solvability of the following second order system of difference equations z(n+1) = alpha Z(n)(a)w(n)(b), w(n+1) = beta w(n)(c)z(n-1)(d), n is an element of N-0, where a, b, c, d is an element of Z, alpha, beta is an element of C \ {0}, z(-1), z(0), w(0) is an element of C \ {0}, is studied in detail.
PB  - Univ Szeged, Bolyai Institute, Szeged
T2  - Electronic Journal of Qualitative Theory of Differential Equations
T1  - On a practically solvable product-type system of difference equations of second order
IS  - 56
SP  - 1
EP  - 23
DO  - 10.14232/ejqtde.2016.1.56
ER  - 

@article{
author = "Stević, Stevo and Ranković, Dragana",
year = "2016",
abstract = "The problem of solvability of the following second order system of difference equations z(n+1) = alpha Z(n)(a)w(n)(b), w(n+1) = beta w(n)(c)z(n-1)(d), n is an element of N-0, where a, b, c, d is an element of Z, alpha, beta is an element of C \ {0}, z(-1), z(0), w(0) is an element of C \ {0}, is studied in detail.",
publisher = "Univ Szeged, Bolyai Institute, Szeged",
journal = "Electronic Journal of Qualitative Theory of Differential Equations",
title = "On a practically solvable product-type system of difference equations of second order",
number = "56",
pages = "1-23",
doi = "10.14232/ejqtde.2016.1.56"
}

Stević, S.,& Ranković, D.. (2016). On a practically solvable product-type system of difference equations of second order. in Electronic Journal of Qualitative Theory of Differential Equations
Univ Szeged, Bolyai Institute, Szeged.(56), 1-23.
https://doi.org/10.14232/ejqtde.2016.1.56

Stević S, Ranković D. On a practically solvable product-type system of difference equations of second order. in Electronic Journal of Qualitative Theory of Differential Equations. 2016;(56):1-23.
doi:10.14232/ejqtde.2016.1.56 .

Stević, Stevo, Ranković, Dragana, "On a practically solvable product-type system of difference equations of second order" in Electronic Journal of Qualitative Theory of Differential Equations, no. 56 (2016):1-23,
https://doi.org/10.14232/ejqtde.2016.1.56 . .

TY  - JOUR
AU  - Ranković, Dragana
PY  - 2011
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1620
AB  - System of delayed differential equations is used to model a pair of FitzHugh- Nagumo excitable systems with time-delayed fast threshold modulation coupling. The Hopf bifurcation of the stationary solution, due to coupling is completely described. The critical time delays, that include indirect and direct Hopf bifurcations, and conditions on the parameters for such bifurcations are found. It is shown that there is a domain for values of time lags and coupling strength where instability of the equilibrium introduced by coupling can disappear due to interaction delay.
PB  - Društvo matematičara Srbije, Beograd
T2  - Matematički vesnik
T1  - Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling
VL  - 63
IS  - 2
SP  - 103
EP  - 114
UR  - https://hdl.handle.net/21.15107/rcub_farfar_1620
ER  - 

@article{
author = "Ranković, Dragana",
year = "2011",
abstract = "System of delayed differential equations is used to model a pair of FitzHugh- Nagumo excitable systems with time-delayed fast threshold modulation coupling. The Hopf bifurcation of the stationary solution, due to coupling is completely described. The critical time delays, that include indirect and direct Hopf bifurcations, and conditions on the parameters for such bifurcations are found. It is shown that there is a domain for values of time lags and coupling strength where instability of the equilibrium introduced by coupling can disappear due to interaction delay.",
publisher = "Društvo matematičara Srbije, Beograd",
journal = "Matematički vesnik",
title = "Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling",
volume = "63",
number = "2",
pages = "103-114",
url = "https://hdl.handle.net/21.15107/rcub_farfar_1620"
}

Ranković, D.. (2011). Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling. in Matematički vesnik
Društvo matematičara Srbije, Beograd., 63(2), 103-114.
https://hdl.handle.net/21.15107/rcub_farfar_1620

Ranković D. Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling. in Matematički vesnik. 2011;63(2):103-114.
https://hdl.handle.net/21.15107/rcub_farfar_1620 .

Ranković, Dragana, "Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling" in Matematički vesnik, 63, no. 2 (2011):103-114,
https://hdl.handle.net/21.15107/rcub_farfar_1620 .

TY  - JOUR
AU  - Burić, Nikola
AU  - Ranković, Dragana
AU  - Todorović, Kristina
AU  - Vasović, Nebojša
PY  - 2010
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/1344
AB  - Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N >> 1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.
PB  - Elsevier Science BV, Amsterdam
T2  - Physica A-Statistical Mechanics and Its Applications
T1  - Mean field approximation for noisy delay coupled excitable neurons
VL  - 389
IS  - 19
SP  - 3956
EP  - 3964
DO  - 10.1016/j.physa.2010.05.048
ER  - 

@article{
author = "Burić, Nikola and Ranković, Dragana and Todorović, Kristina and Vasović, Nebojša",
year = "2010",
abstract = "Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by N >> 1 stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Physica A-Statistical Mechanics and Its Applications",
title = "Mean field approximation for noisy delay coupled excitable neurons",
volume = "389",
number = "19",
pages = "3956-3964",
doi = "10.1016/j.physa.2010.05.048"
}

Burić, N., Ranković, D., Todorović, K.,& Vasović, N.. (2010). Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications
Elsevier Science BV, Amsterdam., 389(19), 3956-3964.
https://doi.org/10.1016/j.physa.2010.05.048

Burić N, Ranković D, Todorović K, Vasović N. Mean field approximation for noisy delay coupled excitable neurons. in Physica A-Statistical Mechanics and Its Applications. 2010;389(19):3956-3964.
doi:10.1016/j.physa.2010.05.048 .

Burić, Nikola, Ranković, Dragana, Todorović, Kristina, Vasović, Nebojša, "Mean field approximation for noisy delay coupled excitable neurons" in Physica A-Statistical Mechanics and Its Applications, 389, no. 19 (2010):3956-3964,
https://doi.org/10.1016/j.physa.2010.05.048 . .

TY  - JOUR
AU  - Burić, Nikola
AU  - Ranković, Dragana
PY  - 2007
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/915
AB  - A pair of Hindmarsh-Rose neurons with delayed coupling is studied. Bifurcations due to time-lag and coupling and stability of the stationary state that corresponds to the quiescence behavior are analyzed. Bursting is created by coupling and its properties strongly depend on the time-lag. In particular, there is a domain of values of time-lags which renders the bursting of the two neurons exactly synchronous.
PB  - Elsevier Science BV, Amsterdam
T2  - Physics Letters A
T1  - Bursting neurons with coupling delays
VL  - 363
IS  - 4
SP  - 282
EP  - 289
DO  - 10.1016/j.physleta.2006.11.032
ER  - 

@article{
author = "Burić, Nikola and Ranković, Dragana",
year = "2007",
abstract = "A pair of Hindmarsh-Rose neurons with delayed coupling is studied. Bifurcations due to time-lag and coupling and stability of the stationary state that corresponds to the quiescence behavior are analyzed. Bursting is created by coupling and its properties strongly depend on the time-lag. In particular, there is a domain of values of time-lags which renders the bursting of the two neurons exactly synchronous.",
publisher = "Elsevier Science BV, Amsterdam",
journal = "Physics Letters A",
title = "Bursting neurons with coupling delays",
volume = "363",
number = "4",
pages = "282-289",
doi = "10.1016/j.physleta.2006.11.032"
}

Burić, N.,& Ranković, D.. (2007). Bursting neurons with coupling delays. in Physics Letters A
Elsevier Science BV, Amsterdam., 363(4), 282-289.
https://doi.org/10.1016/j.physleta.2006.11.032

Burić N, Ranković D. Bursting neurons with coupling delays. in Physics Letters A. 2007;363(4):282-289.
doi:10.1016/j.physleta.2006.11.032 .

Burić, Nikola, Ranković, Dragana, "Bursting neurons with coupling delays" in Physics Letters A, 363, no. 4 (2007):282-289,
https://doi.org/10.1016/j.physleta.2006.11.032 . .