CODIAGONALIZATION OF MATRICES AND EXISTENCE OF MULTIPLE HOMOCLINIC SOLUTIONS

DOI10.11948/2017012zbMath1488.37037OpenAlexW2532622573MaRDI QIDQ4965431

Xiao-Biao Lin, Chang Rong Zhu

Publication date: 1 March 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017012

zbMATH Keywords

Lyapunov-Schmidt reductionLagrange's methodcodiagonalization of quadratic formsdegenerate homoclinic bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Quadratic and bilinear forms, inner products (15A63) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Diagonalization, Jordan forms (15A20)

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