HETEROCLINIC CYCLES IN LATTICE DYNAMICAL-SYSTEMS

Authors
QIN WX QIAN M
Citation
Wx. Qin et M. Qian, HETEROCLINIC CYCLES IN LATTICE DYNAMICAL-SYSTEMS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(1), 1998, pp. 1-7
Citations number
6
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
41
Issue
1
Year of publication
1998
Pages
1 - 7
Database
ISI
SICI code
1001-6511(1998)41:1<1:HCILD>2.0.ZU;2-H
Abstract
A criterion of spatial chaos occurring in lattice dynamical systems-he teroclinic cycle-is discussed. It is proved that if the system has asy mptotically stable heteroclinic cycle, then it has asymptotically stab le homoclinic point which implies spatial chaos.