Driving trajectories to a desirable attractor by using small control

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27 Scopus citations

Abstract

Driving trajectories to a desirable attractor for dynamical systems with multiple coexisting attractors has been a challenging problem in the field of chaos control. We develop an algorithm to steer most trajectories to the desirable attractor by using only small feedback control. The idea is to build a hierarchy of paths to the desirable attractor and then stabilize trajectories around one of the paths in the hierarchy. A substantial improvement in the probability for a random trajectory to asymptote to the desirable attractor has been achieved when there are fractal basin boundaries in the phase space.

Original languageEnglish (US)
Pages (from-to)375-383
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume221
Issue number6
DOIs
StatePublished - Oct 14 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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