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المؤلفVijayakumar, M. D.
المؤلفNatiq, Hayder
المؤلفLeutcho, Gervais Dolvis
المؤلفRajagopal, Karthikeyan
المؤلفJafari, Sajad
المؤلفHussain, Iqtadar
تاريخ الإتاحة2022-05-30T06:50:38Z
تاريخ النشر2022-04-01
اسم المنشورInternational Journal of Bifurcation and Chaos
المعرّفhttp://dx.doi.org/10.1142/S0218127422500638
الاقتباسVijayakumar, M. D., Hayder Natiq, Gervais Dolvis Leutcho, Karthikeyan Rajagopal, Sajad Jafari, and Iqtadar Hussain. "Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium." International Journal of Bifurcation and Chaos 32, no. 05 (2022): 2250063.
الرقم المعياري الدولي للكتاب02181274
معرّف المصادر الموحدhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85129247823&origin=inward
معرّف المصادر الموحدhttp://hdl.handle.net/10576/31647
الملخصNonlinear dynamical systems with hidden attractors belong to a recent and hot area of research. Such systems can exist in different forms, such as without equilibrium or with a stable equilibrium point. This paper focuses on the dynamics of a new 4D chaotic hyper-jerk system with a unique equilibrium point. It is shown that the new hyper-jerk system effectively exhibits different hidden behaviors, which are hidden point attractor, hidden periodic attractor, and hidden chaotic state. Collective behaviors of the system are studied in terms of the equilibrium point, bifurcation diagrams, phase portraits, frequency spectra, and two-parameter Lyapunov exponents. Some remarkable and exciting properties are found in the new snap system, such as period-doubling transition, asymmetric bubbles, and coexisting bifurcations. Also, we demonstrate that it is possible to generate different varieties of two, three, four, or five coexisting hidden and self-excited attractors in the introduced model. In addition, the amplitude and offset of the hidden chaotic attractors are perfectly controlled for possible application in engineering. Furthermore, a circuit design has been implemented to support the physical feasibility of the proposed model.
راعي المشروعThis work is partially funded by Center for Materials Research, Chennai Institute of Technology, Chennai, India via funding number CIT/CMR/2021/RD/003.
اللغةen
الموضوعcontrol
hidden attractor
Hyper-jerk system
multistability
stable equilibrium
العنوانHidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium
النوعArticle
رقم العدد5
رقم المجلد32
ESSN1793-6551
dc.accessType Open Access


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