A Chaotic System With Infinite Attractors Based on Memristor

Wen, Junjie; Wang, Jinpeng

doi:10.3389/fphy.2022.902500

Cited by 4 publications

(2 citation statements)

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“…The system (17) presents infinitely many shifted attractors along y direction when a = 1.5 for various values of δ. This is shown in Figure 8 in which δ = 0 (Blue), δ = 8 (Red), δ = −8 (Green).…”

Section: Evolution Of Offset Boostingmentioning

confidence: 99%

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A New DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

Ramar,

Vaidyanathan

2023

Scientia Iranica

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In this paper, a new chaotic system with three sinusoidal nonlinearities is reported. The basic behavior of the new chaotic system is analyzed by means of equilibrium points, stability, and Lyapunov exponents. The new system has countably infinite number of equilibrium points, which is a novel feature of the system. The new system has multiple interesting features such as topologically different attractors, coexisting attractors, offset-boosted attractors, and polarity reversed offset-boosting attractors. These special features are analyzed and verified using classical tools such as bifurcation diagrams, Lyapunov exponent plots, and attractor diagrams. The bifurcation analysis and simulation results show that the proposed system has rich chaotic dynamics. Furthermore, the adaptive synchronization of the new system is achieved using a nonlinear feedback control methodology. MATLAB plots are shown to illustrate the control results for the new chaotic system with three sinusoidal nonlinearities.

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Section: Evolution Of Offset Boostingmentioning

confidence: 99%

“…Many chaotic systems are introduced with unique features such as selfexcited attractors [10,11], hidden attractors [12,13], coexisting attractors [14,15], infinitely many shifted attractors [16,17], multi scroll attractors [18,19], memristor attractors [20,21] and fractional order [22].…”

Section: Introductionmentioning

confidence: 99%