Existence of chaos in controlled first-order partial difference equations with general delay controllers

Yongjun Zhang, Wei Liang and Xiaolin Lv

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: This paper is concerned with chaos in a class of controlled first-order partial difference equations with general delay controllers. Three criteria of chaos are established by applying snap-back repeller theory. All the equations are proved to be chaotic in the sense of both Devaney and Li-Yorke when they satisfy some weak conditions. Three examples are provided with computer simulations.

Keywords: Chaos; First-order partial difference equation; Delay (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000498

DOI: 10.1016/j.chaos.2023.113148

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