Synchronization of Chaotic Oscillators due to Common Delay Time Modulation

Details Synchronization of Chaotic Oscillators due to Common Delay Time Modulation Synchronization of Chaotic Oscillators due to Common Delay Time Modulation

2004-08-26

arxiv.org/abs/nlin/0408045v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures (to be published in PRE)

Scientific paper

10.1103/PhysRevE.70.046211

We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are driven by a common^M chaotic or random signal and in two identical chaotic oscillators whose delay times are driven by^M a signal of another chaotic oscillator. We analyze the phenomenon by using^M the Lyapunov exponents and discuss it in relation with generalized synchronization.^M

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