A new multistable double-scroll 4-D hyperchaotic system with no equilibrium point, its bifurcation analysis, synchronization and circuit design

• Autorzy: Vaidyanathan Sundarapandian , He Shaobo , Simbas Aceng

Identyfikatory

DOI

10.24425/acs.2021.136882

• Języki publikacji: EN

Abstrakty

EN

In this work, we have developed a new 4-D dynamical system with hyperchaos and hidden attractor. First, by introducing a feedback input control into the 3-D Ma chaos system (2004), we obtain a new 4-D hyperchaos system with no equilibrium point. Thus, we derive a new hyperchaos system with hidden attractor. We carry out an extensive bifurcation analysis of the new hyperchaos model with respect to the three parameters. We also carry out probability density distribution analysis of the new hyperchaotic system. Interestingly, the new nonlinear hyperchaos system exhibits multistability with coexisting attractors. Next, we discuss global hyperchaos self-synchronization for the new hyperchaos system via Integral Sliding Mode Control (ISMC). As an engineering application, we realize the new 4-D hyperchaos system with an electronic circuit via MultiSim. The outputs of the MultiSim hyperchaos circuit show good match with the numerical MATLAB plots of the hyperchaos model. We also analyze the power spectral density (PSD) of the hyperchaos of the state variables using MultiSim.

Słowa kluczowe

EN

hyperchaos; hyperchaotic systems; hidden attractors; multistability; sliding mode control; circuit design

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 1
• Strony: 99--128
• Opis fizyczny: Bibliogr. 40 poz., rys., wykr., wzory

Twórcy

autor

Vaidyanathan Sundarapandian

• School of Electrical and Computing, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600092, Tamil Nadu, India

autor

He Shaobo

• School of Physics and Electronics, Central South University, Changsha, 410083, China

autor

Simbas Aceng

• Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, West Java, Indonesia

Bibliografia

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Uwagi

1. This work was supported by the Natural Science Foundation of China (Nos. 61901530, 11747150), the China Postdoctoral Science Foundation (No. 2019M652791), the Postdoctoral Innovative Talents Support Program (No. BX20180386).

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).