Chaotic ranges of a unified chaotic system and its chaos for five periodic switch cases

Zheng-Ming Ge and Kun-Wei Yang

Chaos, Solitons & Fractals, 2007, vol. 33, issue 1, 246-269

Abstract: In this paper, a unified chaotic system is studied in detail. Non-chaotic ranges within α∈[0,1] are found, where α is the constant parameter of the system. Chaotic range longer than α∈[0,1], α∈[−0.015,1.152], is discovered, which is the extended chaotic range of unified chaotic system. Next, its chaos behaviors for five continuous periodic switch cases, ksin2ωT, msinωt, 0∼1 triangular wave, −1∼1 triangular wave, and 0∼1 sawtooth wave, are presented.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:1:p:246-269

DOI: 10.1016/j.chaos.2005.12.039

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