A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form
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Publication:2296189
DOI10.1007/s11071-019-05025-2zbMath1430.37054OpenAlexW2948873932WikidataQ127767728 ScholiaQ127767728MaRDI QIDQ2296189
Bo-Wei Qin, Antonio Algaba, Kwok Wai Chung, Alejandro J. Rodríguez-Luis
Publication date: 17 February 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-05025-2
Computational methods for bifurcation problems in dynamical systems (37M20) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items (11)
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system ⋮ Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation ⋮ High-Order Analysis of Canard Explosion in the Brusselator Equations ⋮ Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms ⋮ The quantitative analysis of homoclinic orbits from quadratic isochronous systems ⋮ High-order study of the canard explosion in an aircraft ground dynamics model ⋮ Analytical approximation of cuspidal loops using a nonlinear time transformation method ⋮ 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 ⋮ Asymptotic expansions for a degenerate canard explosion ⋮ Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method
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