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Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations

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  • Xavier Barrachina
  • J. Alberto Conejero

Abstract

The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and -semigroups of operators. We will study this notion of chaos for some examples of -semigroups that are already known to be Devaney chaotic.

Suggested Citation

  • Xavier Barrachina & J. Alberto Conejero, 2012. "Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, December.
    • Handle: RePEc:hin:jnlaaa:457019
    DOI: 10.1155/2012/457019
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    Cited by:

    1. Soltanov, Kamal N. & Prykarpatski, Anatolij K. & Blackmore, Denis, 2017. "Long-time behavior of solutions and chaos in reaction-diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 91-100.
    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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