Birth of one-to-four-wing chaotic attractors in a class of simplest three-dimensional continuous memristive systems

DOI10.1007/s11071-015-2460-zzbMath1353.37155OpenAlexW1845636882WikidataQ56945323 ScholiaQ56945323MaRDI QIDQ335708

Wei Xue, Zeng-Qiang Chen, Shi-Jian Cang, Zeng-Hui Wang, Ai-guo Wu

Publication date: 2 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2460-z

zbMATH Keywords

chaoscontinuous systemmemristive systemmulti-wing attractor

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Cites Work

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• Generation of grid multi-scroll chaotic attractors via switching piecewise linear controller
• Multi-wing hyperchaotic attractors from coupled Lorenz systems
• Generating multi-scroll chaotic attractors by thresholding
• Generating 3-D multi-scroll chaotic attractors: a hysteresis series switching method
• A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems
• Coexistence and persistence of strange attractors
• A four-wing hyper-chaotic attractor and transient chaos generated from a new 4-D quadratic autonomous system
• Controlling the chaotic \(n\)-scroll Chua's circuit with two low pass filters
• A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system
• A NOVEL APPROACH FOR CONSTRUCTING HIGH-ORDER CHUA'S CIRCUIT WITH MULTI-DIRECTIONAL MULTI-SCROLL CHAOTIC ATTRACTORS
• A Memristor-Based Scroll Chaotic System — Design, Analysis and Circuit Implementation
• CONTROLLING THE UNCERTAIN MULTI-SCROLL CRITICAL CHAOTIC SYSTEM WITH INPUT NONLINEAR USING SLIDING MODE CONTROL
• GLOBAL STABILIZATION AND SYNCHRONIZATION OF N-SCROLL CHAOTIC ATTRACTORS IN A MODIFIED CHUA'S CIRCUIT WITH HYPERBOLIC TANGENT FUNCTION
• “LORENZ ATTRACTOR” FROM DIFFERENTIAL EQUATIONS WITH PIECEWISE-LINEAR TERMS
• Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices
• Yet another 3D quadratic autonomous system generating three-wing and four-wing chaotic attractors
• MEMRISTOR OSCILLATORS
• A FAST AND SIMPLE IMPLEMENTATION OF CHUA'S OSCILLATOR WITH CUBIC-LIKE NONLINEARITY