Transition to synchronized chaos via suppression of the natural dynamics. (English) Zbl 0985.37051
Summary: We study the mechanism of synchronization for a periodic Van der Pol oscillator driven by a strong chaotic forcing from a Rössler system. It is demonstrated how the system with increasing coupling strength adjusts its motion in accordance with the external forcing via the suppression of its natural dynamics by the chaotic signal. This transition is traced both in the power spectrum and in the spectrum of Lyapunov exponents. We identify the underlying mechanism as a set of inverse Hopf bifurcations of saddle orbits embedded in the synchronized chaotic set.
MSC:
| 37H20 | Bifurcation theory for random and stochastic dynamical systems |
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