
Simulation of a family of multi-folded torus and multi-scroll chaotic attractors
Author(s) -
Faqiang Wang,
Chongxin Liu
Publication year - 2007
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.56.1983
Subject(s) - scroll , chaotic , attractor , torus , workbench , nonlinear system , topology (electrical circuits) , generator (circuit theory) , computer science , control theory (sociology) , mathematics , physics , geometry , mathematical analysis , engineering , artificial intelligence , mechanical engineering , power (physics) , control (management) , quantum mechanics , combinatorics , visualization
A new type of multi-folded torus and multi-scroll chaotic generator is studied by constructing a new nonlinear function. With the natural number n increasing, the characteristic of this chaotic system is that it can generate the 2n-folded torus and 2n+1-scroll chaotic attractors which are of the same size and evenly distributed, and the folded torus chaotic attractors alternated with the scroll attractors. The leaftmost and the rightmost of this chaotic system are scroll attractors. Finally, the circuitry is designed and simulated on Electronics Workbench (EWB).