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 language||English (US)|
|Number of pages||9|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - Oct 14 1996|
ASJC Scopus subject areas
- Physics and Astronomy(all)