Estimation of chaotic parameter regimes via generalized competitive mode approach

DOI10.1016/S1007-5704(02)00021-7zbMath1025.34040MaRDI QIDQ1868722

Yanyan Li

Publication date: 28 April 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

chaosdynamical systemLorenz system

Mathematics Subject Classification ID

Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (13)

Comparing mechanical analysis with generalized-competitive-mode analysis for the plasma chaotic system ⋮ Hybrid projective synchronization and control of the baier-sahle hyperchaotic flow in arbitrary dimensions with unknown parameters ⋮ On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics ⋮ COMPETITIVE MODES AND THEIR APPLICATION ⋮ ANALYSIS ON TOPOLOGICAL PROPERTIES OF THE LORENZ AND THE CHEN ATTRACTORS USING GCM ⋮ Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis ⋮ Traveling wave solutions of the \(n\)-dimensional coupled Yukawa equations ⋮ Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere ⋮ A Chaotic Chemical Reactor With and Without Delay: Bifurcations, Competitive Modes, and Amplitude Death ⋮ CHAOTIC REGIMES, POST-BIFURCATION DYNAMICS, AND COMPETITIVE MODES FOR A GENERALIZED DOUBLE HOPF NORMAL FORM ⋮ Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics ⋮ COMPARISON OF GENERALIZED COMPETITIVE MODES AND RETURN MAPS FOR CHARACTERIZING DIFFERENT TYPES OF CHAOTIC ATTRACTORS IN CHEN SYSTEM ⋮ Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type

Cites Work

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• Synergetics. An introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology. 3rd rev. and enl. ed
• An equation for hyperchaos
• Local and global bifurcations in parametrically excited vibrations of nearly square plates
• Vibration analysis on a thin plate with the aid of computation of normal forms
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Normal Modes for Non-Linear Vibratory Systems
• HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS

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