Chaotic semigroups for a higher order partial differential equation in Herzog-type space of analytic functions

A. Taqbibt, M. Chaib, M. Elomari and S. Melliani

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: We present comprehensive criteria for specific parameters to ensure both Devaney chaos and distributional chaos within the context of the C0-semigroup solutions associated with the Moore–Gibson–Thompson equation, which belongs to a class of higher order partial differential equations. We demonstrate that this C0-semigroup exhibits a strongly mixing measure with full support in cases of chaos. Furthermore, we provide a critical parameter that enables us to distinguish between stability and chaos within these semigroups in the Herzog-type space of analytic functions.

Keywords: Chaotic semigroups; Devany chaotic; Topologically mixing; Moore–Gibson–Thompson equation; Herzog-type space (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012098

DOI: 10.1016/j.chaos.2024.115657

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