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

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  • Ge, Zheng-Ming
  • Yang, Kun-Wei

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.

Suggested Citation

  • Ge, Zheng-Ming & Yang, Kun-Wei, 2007. "Chaotic ranges of a unified chaotic system and its chaos for five periodic switch cases," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 246-269.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:1:p:246-269
    DOI: 10.1016/j.chaos.2005.12.039
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    2. Ge, Z.-M. & Cheng, J.-W., 2005. "Chaos synchronization and parameter identification of three time scales brushless DC motor system," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 597-616.
    3. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2005. "Parameter mismatches, variable delay times and synchronization in time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 325-331.
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