Open AccessA New 4-D Multistable Hyperchaotic Two-Scroll System, its Bifurcation Analysis, Synchronization and Circuit Simulation
Author(s) -
Sundarapandian Vaidyanathan,
Aceng Sambas,
- Mujiarto,
Mustafa Mamat,
Wilarso Wilarso,
W. S. Mada Sanjaya,
Akhmad Sutoni,
Indra Gunawan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1764/1/012206
Subject(s) - phase portrait , multistability , lyapunov exponent , scroll , attractor , control theory (sociology) , synchronization (alternating current) , nonlinear system , chaotic , bifurcation , memristor , quadratic equation , computer science , topology (electrical circuits) , dimension (graph theory) , mathematics , control (management) , physics , mathematical analysis , engineering , pure mathematics , electronic engineering , artificial intelligence , mechanical engineering , geometry , quantum mechanics , combinatorics
A new 4-D hyperchaotic two-scroll system with three quadratic nonlinearities and a cubic nonlinearity is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc. We also establish that the new hyperchaotic system has multistability with coexisting attractors. As a control application, we use integral sliding mode control for active self-synchronization of the new hyperchaotic systems as master-slave systems. As an engineering application, an electronic circuit design of the new hyperchaotic two-scroll system is developed in MultiSIM, which confirms the feasibility of the system.