Computation of universal unfolding of the double-zero bifurcation in -symmetric systems by a homological method

DOI10.1080/10236198.2012.761980zbMath1282.34047OpenAlexW2048065594MaRDI QIDQ2855202

Yao-Lin Jiang, Guojun Peng

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.761980

zbMATH Keywords

bifurcationunfoldingChua circuitdouble-zero bifurcationhomological method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

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Cites Work

• Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
• Singularities of vector fields
• Practical computation of normal forms of the Bogdanov-Takens bifurcation
• The stable, center-stable, center, center-unstable, unstable manifolds
• ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
• Normal forms for singularities of vector fields
• Nonresonant Bifurcations with Symmetry
• Nonlinear periodic convection in double-diffusive systems
• Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
• PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS

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