SIMPLEST DISSIPATIVE CHAOTIC FLOW

Authors
SPROTT JC
Citation
Jc. Sprott, SIMPLEST DISSIPATIVE CHAOTIC FLOW, Physics letters. A, 228(4-5), 1997, pp. 271-274
Citations number
13
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
228
Issue
4-5
Year of publication
1997
Pages
271 - 274
Database
ISI
SICI code
0375-9601(1997)228:4-5<271:SDCF>2.0.ZU;2-E
Abstract
Numerical examination of third-order, autonomous ODEs with one depende nt variable and quadratic nonlinearities has uncovered what appears to be the algebraically simplest example of a dissipative chaotic flow, <(x)triple over dot + A(x) double over dot - (x)(2) over dot + x = 0. This system exhibits a period-doubling route to chaos for 2.017 < A < 2.082 and is approximately described by a one-dimensional quadratic ma p. (C) 1997 Published by Elsevier Science B.V.