High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities
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Publication:4983536
DOI10.1137/20M1325101zbMath1478.34067OpenAlexW3134832663MaRDI QIDQ4983536
Bo-Wei Qin, Kwok Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
Publication date: 20 April 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1325101
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Computational methods for bifurcation problems in dynamical systems (37M20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (5)
Stability and bifurcation in a two-patch model with additive Allee effect ⋮ Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system ⋮ Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin ⋮ Normal forms of double Hopf oscillators with radial nonlinearities ⋮ The infinite level normal forms for non-resonant double Hopf singularities
Uses Software
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