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Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems

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  • Zlatkovic, Bojana M.
  • Samardzic, Biljana

Abstract

The appearance of multiple spatial limit sets and chaos in MIMO cascade nonlinear systems is analyzed in this paper. The necessary and sufficient conditions for the existence of stable multiple spatial limit sets and the rules for the existence of chaos are given, too. The validity of these conditions is confirmed with bifurcation diagrams and spatial phase portraits of MIMO2 and MIMO4 cascade nonlinear systems.

Suggested Citation

  • Zlatkovic, Bojana M. & Samardzic, Biljana, 2019. "Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 86-93.
    • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:86-93
    DOI: 10.1016/j.chaos.2018.12.014
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    References listed on IDEAS

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    1. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    2. Samardzic, B. & Zlatkovic, B.M., 2017. "Analysis of spatial chaos appearance in cascade connected nonlinear electrical circuits," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 14-20.
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    Cited by:

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    2. Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2022. "A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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