عرض بسيط للتسجيلة

المؤلفVijayakumar, M. D.
المؤلفBahramian, Alireza
المؤلفNatiq, Hayder
المؤلفRajagopal, Karthikeyan
المؤلفHussain, Iqtadar
تاريخ الإتاحة2023-12-05T10:28:38Z
تاريخ النشر2021
اسم المنشورInternational Journal of Bifurcation and Chaos
المصدرScopus
الرقم المعياري الدولي للكتاب2181274
معرّف المصادر الموحدhttp://dx.doi.org/10.1142/S0218127421502539
معرّف المصادر الموحدhttp://hdl.handle.net/10576/50084
الملخصHidden attractors generated by the interactions of dynamical variables may have no equilibrium point in their basin of attraction. They have grabbed the attention of mathematicians who investigate strange attractors. Besides, quadratic hyperjerk systems are under the magnifying glass of these mathematicians because of their elegant structures. In this paper, a quadratic hyperjerk system is introduced that can generate chaotic attractors. The dynamical behaviors of the oscillator are investigated by plotting their Lyapunov exponents and bifurcation diagrams. The multistability of the hyperjerk system is investigated using the basin of attraction. It is revealed that the system is bistable when one of its attractors is hidden. Besides, the complexity of the systems' attractors is investigated using sample entropy as the complexity feature. It is revealed how changing the parameters can affect the complexity of the systems' time series. In addition, one of the hyperjerk system equilibrium points is stabilized using impulsive control. All real initial conditions become the equilibrium points of the basin of attraction using the stabilizing method.
راعي المشروعThis work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India, and under funding number CIT/CNS/2021/RP-015.
اللغةen
الناشرWorld Scientific
الموضوعBifurcation
Chaos
Complexity
Lyapunov exponent
Multistability
العنوانA Chaotic Quadratic Bistable Hyperjerk System with Hidden Attractors and a Wide Range of Sample Entropy: Impulsive Stabilization
النوعArticle
رقم العدد16
رقم المجلد31
dc.accessType Abstract Only


الملفات في هذه التسجيلة

الملفاتالحجمالصيغةالعرض

لا توجد ملفات لها صلة بهذه التسجيلة.

هذه التسجيلة تظهر في المجموعات التالية

عرض بسيط للتسجيلة