CHAOTIC REGIMES, POST-BIFURCATION DYNAMICS, AND COMPETITIVE MODES FOR A GENERALIZED DOUBLE HOPF NORMAL FORM

DOI10.1142/S0218127412502926zbMath1258.34082OpenAlexW2155445353MaRDI QIDQ4908400

Brandon Reeves, S. Roy Choudhury, Robert A. van Gorder

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502926

zbMATH Keywords

chaoschaotic regimecompetitive modesgeneralized double Hopf normal form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Competitive modes for the Baier-Sahle hyperchaotic flow in arbitrary dimensions ⋮ On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics ⋮ Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere ⋮ Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics ⋮ Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type

Cites Work

• Traveling wave solutions of the \(n\)-dimensional coupled Yukawa equations
• Dynamical analysis of two coupled parametrically excited van der Pol oscillators
• Estimation of chaotic parameter regimes via generalized competitive mode approach
• Double Hopf bifurcations and chaos of a nonlinear vibration system
• Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis
• The critical phenomena in a hysteretic model due to the interaction between hysteretic damping and external force
• CLASSIFICATION OF CHAOTIC REGIMES IN THE T SYSTEM BY USE OF COMPETITIVE MODES
• COMPETITIVE MODES AND THEIR APPLICATION
• ANALYSIS ON TOPOLOGICAL PROPERTIES OF THE LORENZ AND THE CHEN ATTRACTORS USING GCM

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