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AuthorRamesh, Arthanari
AuthorHussain, Iqtadar
AuthorNatiq, Hayder
AuthorMehrabbeik, Mahtab
AuthorJafari, Sajad
AuthorRajagopal, Karthikeyan
Available date2023-12-05T10:28:38Z
Publication Date2021
Publication NameInternational Journal of Bifurcation and Chaos
ResourceScopus
ISSN2181274
URIhttp://dx.doi.org/10.1142/S0218127421300470
URIhttp://hdl.handle.net/10576/50085
AbstractIn nonlinear dynamics, the study of chaotic systems has attracted the attention of many researchers around the world due to the exciting and peculiar properties of such systems. In this regard, the present paper introduces a new system with a self-excited strange attractor and its twin strange repeller. The unique characteristic of the presented system is that the system variables are all in their quadratic forms; therefore, the proposed system is called a fully-quadratic system. This paper also elaborates on the study of the bifurcation diagram, the interpretation of Lyapunov exponents, the representation of basin of attraction, and the calculation of connecting curves as the employed method for investigating the system's dynamics. The investigation of 2D bifurcation diagrams and Lyapunov exponents indicated in this paper can better recognize the system's dynamics since they are plotted considering simultaneous changes of two parameters. Moreover, the connecting curves of the proposed system are calculated. The system's connecting curves help identify the system's different behaviors by providing general information about the nature of the flows.
SponsorArthanari Ramesh and Karthikeyan Rajagopal have been partially funded by the Research grant of Center for Nonlinear Systems, Chennai Institute of Technology, with reference number CIT/CNS/2021/RP-017.
Languageen
PublisherWorld Scientific
Subjectbasin of attraction
connecting curve
self-excited attractor
Strange attractor
strange repeller
TitleA New System with a Self-Excited Fully-Quadratic Strange Attractor and Its Twin Strange Repeller
TypeArticle
Issue Number16
Volume Number31
dc.accessType Abstract Only


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