A degenerate Hopf-saddle-node bifurcation analysis in a family of electronic circuits

DOI10.1007/s11071-006-9051-yzbMath1201.37021OpenAlexW2061636103MaRDI QIDQ842090

Manuel Merino, Antonio Algaba, Cristóbal García, Estanislao Gamero

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-006-9051-y

zbMATH Keywords

bifurcationsresonancesinvariant torusHopf-saddle-node

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

Study of a dynamical system with a strange attractor and invariant tori ⋮ Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ Normal Form of Saddle-Node-Hopf Bifurcation in Retarded Functional Differential Equations and Applications ⋮ A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Uses Software

• AUTO
• HomCont

Cites Work

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