Synchronization of Chaotic Oscillators due to Common Delay Time Modulation

2004/08/26 by Won-Ho Kye, Muhan Choi, M. S. Kurdoglyan +2 · 1 citation
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1103/physreve.70.046211

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

arxiv created 2004/08/26 · arxiv updated 2016/09/07

Abstract

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

Cited by

• Laminar chaos in systems with random and chaotically time-varying delay