Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags
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Synchronization patterns in chains of N bi-directionally delayed coupled systems with delayed feedback are studied. Each system is hyperchaotic when decoupled from the chain. It is shown that chains with odd or even number of cites N display different spatial patterns of stable exact synchronization. When N is odd the only stable pattern of exact synchronization is between all of the units. When N is even, next to the nearest neighbors could become exactly synchronized, with the dynamics of the nearest neighbors related in a more complicated way. Sufficiently strong coupling leads to the nearest neighbor synchronization also for even N. No other patterns have been observed.
Keywords:synchronization / time-delay / hyperchaotic
Source:International Journal of Bifurcation and Chaos, 2006, 16, 5, 1569-1584
- World Scientific Publ Co Pte Ltd, Singapore