Driving trajectories to a desirable attractor by using small control

Y C Lai, Ying-Cheng Lai

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29 Citations (Scopus)

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
Pages (from-to)375-383
Number of pages9
JournalPhysics Letters A
Volume221
Issue number6
Publication statusPublished - 14 Oct 1996

Keywords

  • FRACTAL BASIN BOUNDARIES
  • RIDDLED BASINS
  • PROPORTIONAL FEEDBACK
  • DYNAMICAL-SYSTEMS
  • CHAOTIC SYSTEMS
  • SYNCHRONIZATION
  • INTERMITTENCY

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