Open AccessA family of multiple-folded torus chaotic attractors
Author(s) -
Simin Yu,
Lin Qing-hua,
Qiu Shui-sheng
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.2084
Subject(s) - torus , attractor , chaotic , piecewise linear function , piecewise , function (biology) , mathematics , numeral system , mathematical analysis , computer science , geometry , artificial intelligence , arithmetic , evolutionary biology , biology
By constructing an odd function with multiple piecewise-linear segments in the double-folded torus chaotic attractor equation and using recurrence algorithm, the recurrence formula capable of producing a family of multi-folded torus chaotic attractors is derived. Utilizing the recurrence formula thus derived and selecting properly the slope values of piecewise-linear segments, the values for equilibrium points and breakpoints are calculated. Eventually, a family of multiple-folded torus chaotic attractors can be obtained. Results of numeral simulations by using computer for generating this kind of chaotic attractors are also given.