From homoclinics to quasi-periodic solutions for ordinary differential equations

DOI10.1017/S0308210515000189zbMath1343.34107OpenAlexW2576530575MaRDI QIDQ3456297

Chang Rong Zhu

Publication date: 11 December 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210515000189

zbMATH Keywords

exponential dichotomyLyapunov-Schmidt reductionquasi-periodic solutionFredholm alternativedegenerate homoclinic solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions

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