High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities-Reference-Cited by-同舟云学术

High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Published:2021-01 Issue:1 Volume:20 Page:403-437
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Qin B. W.,Chung K. W.^ORCID,Algaba A.,Rodríguez-Luis A. J.^ORCID

Funder

China Postdoctoral Science Foundation

City University of Hong Kong

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía

Ministerio de Ciencia, Innovación y Universidades

Ministerio de Economía y Competitividad

National Natural Science Foundation of China

Shanghai Municipal Human Resources and Social Security Bureau

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modelling and Simulation,Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1325101

Reference62 articles.

1. A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form

2. Revisiting the analysis of a codimension-three Takens–Bogdanov bifurcation in planar reversible systems

3. Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

4. Computation of all the coefficients for the global connections in theZ2-symmetric Takens-Bogdanov normal forms

5. Hypernormal Form for the Hopf-Zero Bifurcation

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