Suppression of chaos through changes in the system variables through Poincare and Lorenz return maps

被引:16
作者
Gutierrez, JM
Iglesias, A
Guemez, J
Matias, MA
机构
[1] UNIV CANTABRIA,DEPT FIS APLICADA,E-39005 SANTANDER,SPAIN
[2] UNIV SALAMANCA,DEPT QUIM FIS,E-37008 SALAMANCA,SPAIN
来源
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.
引用
收藏
页码:1351 / 1362
页数:12
相关论文
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