INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
|
1996年
/
6卷
/
07期
关键词:
D O I:
10.1142/S0218127496000771
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The present paper introduces a new chaos suppression method that is able to stabilize N-dimensional flows by perturbing the state variables in a discrete way when the flow crosses a suitably chosen Poincare section. Two versions of the method are presented, depending on whether the perturbations are introduced on a proportional or an additive fashion. The perturbations are applied to the corresponding N-1-dimensional Poincare map, or, in the case of strongly dissipative systems, to a suitable one-dimensional Lorenz map. The method is applied to two different three-variable flows: Rossler spiral chaos model and an isothermal three-variable autocatalator model introduced by Peng et al.