Intermingled basins in coupled Lorenz systems

Details Intermingled basins in coupled Lorenz systems Intermingled basins in coupled Lorenz systems

2011-11-23

arxiv.org/abs/1111.5581v2

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.85.036207

We consider a system of two identical linearly coupled Lorenz oscillators, presenting synchro- nization of chaotic motion for a specified range of the coupling strength. We verify the existence of global synchronization and antisynchronization attractors with intermingled basins of attraction, such that the basin of one attractor is riddled with holes belonging to the basin of the other attractor and vice versa. We investigated this phenomenon by verifying the fulfillment of the mathematical requirements for intermingled basins, and also obtained scaling laws that characterize quantitatively the riddling of both basins for this system.

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