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Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
Published on: September 21, 2017
Synchronization of chaotic structurally nonequivalent systems
Boccaletti1, Valladares, Kurths
1Department of Physics and Applied Mathematics, Universidad de Navarra, Irunlarrea s/n, 31080 Pamplona, Spain.
Abstract:
Synchronization features are explored for a pair of chaotic high-dimensional bidirectionally coupled structurally nonequivalent systems. We find two regimes of synchronization in dependence on the coupling strength: creation of a lower dimensional chaotic state, and for larger coupling a transition toward a stable periodic motion. We characterize this new state, showing that it is associated with an abrupt transition in the Lyapunov spectrum. The robustness of this state against noise is discussed, and the use of this dynamical property as a possible approach for the control of chaos is outlined.
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