Analytical approximation of cuspidal loops using a nonlinear time transformation method
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Publication:2293948
DOI10.1016/j.amc.2020.125042zbMath1433.37019OpenAlexW3002216362WikidataQ126313197 ScholiaQ126313197MaRDI QIDQ2293948
Bo-Wei Qin, Alejandro J. Rodríguez-Luis, Antonio Algaba, Kwok Wai Chung
Publication date: 5 February 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2020.125042
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (8)
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 ⋮ High-Order Analysis of Canard Explosion in the Brusselator Equations ⋮ The quantitative analysis of homoclinic orbits from quadratic isochronous systems ⋮ High-order study of the canard explosion in an aircraft ground dynamics model ⋮ 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
Uses Software
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