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Maintaining Chaos in High Dimensions
Phys. Rev. Lett. 80, 700 – Published 26 January, 1998
DOI: https://doi.org/10.1103/PhysRevLett.80.700
Abstract
In dynamical systems, as a parameter is varied past a critical value, a chaotic attractor may be destroyed by a crisis. This attractor is replaced by a chaotic transient, which eventually leads to a different attractor. We present a method for maintaining chaotic dynamics after the crisis. The model, formulated for arbitrary dimensions, directs the phase space trajectory toward a target region near the periodic saddle orbit that mediates the crisis. It is used to maintain chaos numerically in the Ikeda map and experimentally in a magnetoelastic ribbon.
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