A non-autonomous mega-extreme multistable chaotic system

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dc.citation.rankM21a
dc.citation.spage113765
dc.citation.volume174
dc.contributor.authorAhmadi, Atefeh
dc.contributor.authorParthasarathy, Sriram
dc.contributor.authorNatiq, Hayder
dc.contributor.authorJafari, Sajad
dc.contributor.authorFranović, Igor
dc.contributor.authorRajagopal, Karthikeyan
dc.date.accessioned2024-06-11T10:03:00Z
dc.date.available2024-06-11T10:03:00Z
dc.date.issued2023-11
dc.description.abstractMegastable and extreme multistable systems comprise two major new branches of multistable systems. So far, they have been studied separately in various chaotic systems. Nevertheless, to the best of our knowledge, no chaotic system has so far been reported that possesses both types of multistability. This paper introduces the first three-dimensional non-autonomous chaotic system that displays megastability and extreme multistability, jointly called mega-extreme multistability. Our model shows extreme multistability for a variation of an initial condition associated with one system variable and megastability concerning another variable. The different types of coexisting attractors are characterized by the corresponding phase portraits and first return maps, as well as by constructing the appropriate bifurcation diagrams, calculating the Lyapunov spectra, the Kaplan-Yorke dimension and the connecting curves, and by determining the corresponding basins of attraction. The system is explicitly shown to be dissipative, with the dissipation being state-dependent. We demonstrate the feasibility and applicability of our model by designing and simulating an appropriate analog circuit.
dc.identifier.doi10.1016/j.chaos.2023.113765
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85164255951
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/70
dc.identifier.wos001054915900001
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofChaos, Solitons and Fractals
dc.relation.ispartofabbrChaos Solit. Fractals.
dc.rightsrestrictedAccess
dc.titleA non-autonomous mega-extreme multistable chaotic system
dc.typeArticle
dc.type.versionpublishedVersion
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