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ABSTRACT: 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.
09/2011;