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On the existence of chaos for the fourth-order Moore–Gibson–Thompson equation

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  • Lizama, Carlos
  • Murillo-Arcila, Marina

Abstract

We analyze the existence of chaos for the fourth-order Moore–Gibson–Thompson equation. We obtain sufficient conditions on the parameters of the equation so that it exhibits a chaotic behavior in the Devaney sense. Such dynamic behavior is achieved in Herzog-like spaces revealing the structure of critical parameters.

Suggested Citation

  • Lizama, Carlos & Murillo-Arcila, Marina, 2023. "On the existence of chaos for the fourth-order Moore–Gibson–Thompson equation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s096007792301024x
    DOI: 10.1016/j.chaos.2023.114123
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    References listed on IDEAS

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    1. Chlouverakis, Konstantinos E. & Sprott, J.C., 2006. "Chaotic hyperjerk systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 739-746.
    2. Conejero, J. Alberto & Lizama, Carlos & Murillo-Arcila, Marina, 2016. "On the existence of chaos for the viscous van Wijngaarden–Eringen equation," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 100-104.
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