DECOMPOSITION METHOD FOR STUDYING SMOOTH CHUA'S EQUATION WITH APPLICATION TO HYPERCHAOTIC MULTISCROLL ATTRACTORS

DOI10.1142/S0218127407017276zbMath1117.37017MaRDI QIDQ5297295

Giuseppe Grassi, Donato Cafagna

Publication date: 18 July 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Chua's oscillatorAdomian decompositionsmooth nonlinearity

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Complex behavior and chaotic systems of ordinary differential equations (34C28) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (15)

Hyperchaotic Oscillation and Multistability in a Fourth Order Smooth Chua System with Implementation Using No Analog Multipliers ⋮ FRACTIONAL-ORDER CHAOS: A NOVEL FOUR-WING ATTRACTOR IN COUPLED LORENZ SYSTEMS ⋮ On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems ⋮ Adomian Decomposition Algorithm for Studying Incommensurate Fractional-Order Memristor-Based Chua’s System ⋮ Automatic synthesis of chaotic attractors ⋮ \(n\)-scroll chaotic attractors from saturated function series employing CCII\(+\)s ⋮ Generation of a family of fractional order hyper-chaotic multi-scroll attractors ⋮ Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers ⋮ FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS ⋮ BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH ⋮ GENERATION AND IMPLEMENTATION OF HYPERCHAOTIC CHUA SYSTEM VIA STATE FEEDBACK CONTROL ⋮ A Simple Grid Multiscroll Chaotic Electronic Oscillator Employing CFOAs ⋮ AN EFFECTIVE METHOD FOR DETECTING CHAOS IN FRACTIONAL-ORDER SYSTEMS ⋮ CONSTRUCTING MULTIWING HYPERCHAOTIC ATTRACTORS ⋮ HYPERCHAOS IN THE FRACTIONAL-ORDER RÖSSLER SYSTEM WITH LOWEST-ORDER

Cites Work

• Unnamed Item
• Modified Adomian polynomials
• CHUA’S EQUATION WITH CUBIC NONLINEARITY
• Hyperchaotic Coupled Chua Circuits: An Approach for Generating New n×m-Scroll Attractors
• CONTROLLING CHAOTIC DYNAMICS USING BACKSTEPPING DESIGN WITH APPLICATION TO THE LORENZ SYSTEM AND CHUA'S CIRCUIT
• NEW 3D-SCROLL ATTRACTORS IN HYPERCHAOTIC CHUA'S CIRCUITS FORMING A RING
• A NEW PHENOMENON IN NONAUTONOMOUS CHUA'S CIRCUITS: GENERATION OF CHAOTIC BEATS
• CHAOTIC BEATS IN A MODIFIED CHUA'S CIRCUIT: DYNAMIC BEHAVIOR AND CIRCUIT DESIGN
• A GALLERY OF ATTRACTORS FROM SMOOTH CHUA'S EQUATION
• A FAST AND SIMPLE IMPLEMENTATION OF CHUA'S OSCILLATOR WITH CUBIC-LIKE NONLINEARITY
• A review of the decomposition method and some recent results for nonlinear equations

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