Electronic Circuit in the Two-Scroll Hyperchaotic System with a Unique Saddle-Point Rest Point and its Synchronization via Integral Sliding Mode Control

Abstract-A new 4-D two-scroll hyperchaotic system with three quadratic nonlinearities is detailed in this research paper. It is shown that the new hyperchaotic system has a unique saddle-point rest point at the origin and it exhibits self-excited attractor. A detailed stability analysis is carried o...

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Veröffentlicht in:IAENG international journal of applied mathematics 2024-03, Vol.54 (3), p.452-464
Hauptverfasser: Mujiarto, Ayob, Ahmad Faisal Mohamad, Vaidyanathan, Sundarapandian, Sambas, Aceng, Nawawi, Khaled Benkouider Mohd Kamal Mohd, Khalid, Kamal, Madi, Elissa Nadia
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container_title IAENG international journal of applied mathematics
container_volume 54
creator Mujiarto
Ayob, Ahmad Faisal Mohamad
Vaidyanathan, Sundarapandian
Sambas, Aceng
Nawawi, Khaled Benkouider Mohd Kamal Mohd
Khalid, Kamal
Madi, Elissa Nadia
description Abstract-A new 4-D two-scroll hyperchaotic system with three quadratic nonlinearities is detailed in this research paper. It is shown that the new hyperchaotic system has a unique saddle-point rest point at the origin and it exhibits self-excited attractor. A detailed stability analysis is carried out for the new hyperchaotic system.lt is also proved that the new hyperchaotic system has multistability with coexisting attractors. Next, we invoke integral sliding mode control for the global self-synchronization of the new hyperchaotic system taken as leader-follower systems .An electronic circuit design of the new two-scroll hyperchaotic system is developed in MultiSim, which is beneficial for engineering applications.
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subjects Circuit design
Electronic circuits
Saddle points
Sliding mode control
Stability analysis
Synchronism
title Electronic Circuit in the Two-Scroll Hyperchaotic System with a Unique Saddle-Point Rest Point and its Synchronization via Integral Sliding Mode Control
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