STOCHASTIC SENSITIVITY AND CONTROL OF CHAOS
Ryashko
We suggest a new technique for analysis and control of the forced nonlinear oscillations based on stochastic sensitivity function (SSF). This function describes the dispersion of random trajectories near deterministic attractor. The possibilities of SSF to predict some peculiarities of dynamics for stochastically and periodically forced oscillators are shown.
The thin effects observed in Brusselator and stochastic Lorenz model near chaos in a period-doubling bifurcations zone are presented. The problem of stochastic cycles control based on SSF is considered. The possibilities for formation of stochastic attractor with desired features
by feedback regulator are presented. An example of controlling chaos for Brusselator is considered.
Partially supported by the RFBR grants (06-01-00625, 06-08-00396)