Abstract: A 3-D novel hidden chaotic attractor with no equilibrium point is proposed in this paper. The dynamical properties of the new chaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. As an engineering application, adaptive synchronization of identical hidden chaotic attractors with no equilibrium point is designed via nonlinear control and Lyapunov stability theory. Furthermore, an electronic circuit realization of the novel hidden chaotic attractor is presented in detail to confirm the feasibility of the theoretical hidden chaotic attractor model. The outputs show that results of the system modelled in MATLAB simulation confirm the MultiSIM results.
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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #37
Aceng Sambas, Mustafa Mamat, Sundarapandian Vaidyanathan, Mohamad Afendee Mohamed, W. S. Mada Sanjaya, Mujiarto, "A Novel Chaotic Hidden Attractor, its Synchronization and Circuit Implementation," WSEAS Transactions on Systems and Control, vol. 13, pp. 345-352, 2018, DOI:
Aceng Sambas, Mustafa Mamat, Sundarapandian Vaidyanathan, Mohamad Afendee Mohamed, W. S. Mada Sanjaya, Mujiarto. A Novel Chaotic Hidden Attractor, its Synchronization and Circuit Implementation.
WSEAS Transactions on Systems and Control. 2018;13:345-352.