CONTROL OF COUPLED STANDARD MAP

Authors
LIU ZH CHEN SG
Citation
Zh. Liu et Sg. Chen, CONTROL OF COUPLED STANDARD MAP, International journal of bifurcation and chaos in applied sciences and engineering, 8(6), 1998, pp. 1355-1362
Citations number
17
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
Journal title
International journal of bifurcation and chaos in applied sciences and engineering → ACNP
ISSN journal
02181274
Volume
8
Issue
6
Year of publication
1998
Pages
1355 - 1362
Database
ISI
SICI code
0218-1274(1998)8:6<1355:COCSM>2.0.ZU;2-4
Abstract
In this work, we extend the periodic impulsive method to high-dimensio nal conservative system, and use the coupled standard map as an exampl e to illustrate how to control the high-dimensional Hamiltonian chaos. When the periodic pulse is applied to one variable of the system, dif ferent periodic windows, quasiperiodic orbit and some special structur e can be stabilized, even the approximate KAM curve. And the largest L yapunov exponent spectra corresponding to different initial points are given.