THE STRANGE ATTRACTOR OF A KIND OF 2-DIMENSIONAL MAP AND DYNAMICAL PROPERTIES ON IT

Authors
LIU ZR QIN WX XIE HM CAO YL
Citation
Zr. Liu et al., THE STRANGE ATTRACTOR OF A KIND OF 2-DIMENSIONAL MAP AND DYNAMICAL PROPERTIES ON IT, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 36(8), 1993, pp. 976-984
Citations number
10
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
36
Issue
8
Year of publication
1993
Pages
976 - 984
Database
ISI
SICI code
1001-6511(1993)36:8<976:TSAOAK>2.0.ZU;2-Y
Abstract
On the basis of previous works, the strange attractor in real physical systems is discussed. Louwerier attractor is used as an example to il lustrate the geometric structure and dynamical properties of strange a ttractor. Then the strange attractor of a kind of two-dimensional map is analysed. Based on some conditions, it is proved that the closure o f the unstable manifolds of hyberbolic fixed point of map is a strange attractor in real physical systems.