 The emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillatorsP. Yogamarish and I. Raja Mohamed Chaos, Solitons & Fractals, 2025, vol. 191, issue C Abstract: This paper introduces a novel ring of three identical second-order non-autonomous oscillators, a unique configuration, that are coupled unidirectionally via threshold controllers. This configuration, with threshold controllers employed both within the oscillators and for coupling, facilitates the generation of multi-scroll chaotic rotating waves. The system demonstrates various dynamics, including periodic, quasi-periodic, and chaotic regimes, as control parameters are varied. It is delved into the transition from constant phase difference to phase synchronization using Hilbert transform analysis and investigated the underlying mechanisms driving these behaviours. The research is further validated through a rigorous process, including real-time analog simulation and numerical studies such as bifurcation diagrams and Lyapunov exponent analysis, ensuring the reliability of our findings. Keywords: Ring of oscillators; Threshold controller coupling; 4-tori breakdown; Chaotic rotating waves; Phase synchronization (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014711 DOI: 10.1016/j.chaos.2024.115919 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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