TRANSVERSE HOMOCLINIC ORBIT BIFURCATED FROM A HOMOCLINIC MANIFOLD BY THE HIGHER ORDER MELNIKOV INTEGRALS

DOI10.11948/20190311zbMath1455.34038OpenAlexW3112120114MaRDI QIDQ4964219

Bin Long, Chang Rong Zhu

Publication date: 25 February 2021

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

Full work available at URL: https://doi.org/10.11948/20190311

zbMATH Keywords

chaosLyapunov-Schmidt reductionexponential dichotomiesMelnikov integralhomoclinic manifold

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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