Experimental observation of extreme multistability in coupled electronic oscillators

Details Experimental observation of extreme multistability in coupled electronic oscillators Experimental observation of extreme multistability in coupled electronic oscillators

2011-09-28

arxiv.org/abs/1109.6267v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We report the first experimental observation of extreme multistability in a controlled laboratory investigation. Extreme multistability arises when infinitely many attractors coexist for the same set of system parameters. The behavior was predicted earlier on theoretical grounds, supported by numerical studies of models of two coupled identical or nearly identical systems. We construct and couple two analog circuits based on the Lorenz system and demonstrate the occurrence of extreme multistability through the controlled switching of the coupled system to different attractor states purely through a change in initial conditions for a fixed set of system parameters. Numerical studies of the coupled Lorenz circuits are in agreement with our experimental findings.

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