On the existence of homoclinic orbits for the asymptotically periodic Duffing equation

DOI10.12775/TMNA.1998.042zbMath0931.34028OpenAlexW68579051MaRDI QIDQ1305299

Paolo Caldiroli, Piero Montecchiari, Francesca Alessio

Publication date: 9 March 2000

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1998.042

zbMATH Keywords

homoclinic orbitsDuffing equationasymptotically periodic coefficient

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits ⋮ Existence of homoclinic solutions for nonlinear second-order problems ⋮ Homoclinic solutions for Hamiltonian system with impulsive effects ⋮ Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation ⋮ Existence of homoclinic solutions for a class of second order ordinary differential equations ⋮ Unnamed Item

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