Saddle-node bifurcations of multiple homoclinic solutions in odes

DOI10.3934/dcdsb.2017069zbMath1410.34130OpenAlexW2588821400WikidataQ57426235 ScholiaQ57426235MaRDI QIDQ524091

Xiao-Biao Lin, Chang Rong Zhu

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017069

zbMATH Keywords

bifurcationdegenerate homoclinic orbitexponential dichotomiescodiagonalization of quadratic formsLiapunov-Schmidt method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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