Analytic and Algebraic Conditions for Bifurcations of Homoclinic Orbits II: Reversible Systems-Reference-Cited by-同舟云学术

Analytic and Algebraic Conditions for Bifurcations of Homoclinic Orbits II: Reversible Systems

Published:2021-10-16 Issue: Volume: Page:
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Yagasaki Kazuyuki^ORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10884-021-10091-5.pdf

Reference14 articles.

1. Blázquez-Sanz, D., Yagasaki, K.: Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria. J. Differ. Equ. 253, 2916–2950 (2012)

2. Crespo, T., Hajto, Z.: Algebraic Groups and Differential Galois Theory. American Mathematical Society, Providence, RI (2011)

3. Doedel, E., Oldeman, B. E.:(2012). AUTO-07P: Continuation and Bifurcation Software for Ordinary Differential Equations. http://cmvl.cs.concordia.ca/auto

4. Gruendler, J.: Homoclinic solutions for autonomous dynamical systems in arbitrary dimension, SIAM. J. Math. Anal. 23, 702–721 (1992)

5. Knobloch, J.: Bifurcation of degenerate homoclinic orbits in reversible and conservative systems. J. Dynam. Differ. Equ. 9, 427–444 (1997)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits;Physica D: Nonlinear Phenomena;2024-08

2. Existence conditions for bifurcations of homoclinic orbits in a railway wheelset model;Communications in Nonlinear Science and Numerical Simulation;2024-07

3. Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations;Journal of Differential Equations;2023-11