From synchronization to multistability in two coupled quadratic maps

Details From synchronization to multistability in two coupled quadratic maps From synchronization to multistability in two coupled quadratic maps

2000-05-26

arxiv.org/abs/nlin/0005053v1

Physics Letters A 285 (2001) 327-338

Nonlinear Sciences

Chaotic Dynamics

13 pages Latex, 9 figures

Scientific paper

10.1016/S0375-9601(01)00370-X

The phenomenology of a system of two coupled quadratic maps is studied both analytically and numerically. Conditions for synchronization are given and the bifurcations of periodic orbits from this regime are identified. In addition, we show that an arbitrarily large number of distinct stable periodic orbits may be obtained when the maps parameter is at the Feigenbaum period-doubling accumulation point. An estimate is given for the coupling strength needed to obtain any given number of stable orbits.

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