Homoclinic orbits of a class of second-order difference equations

DOI10.1016/J.JMAA.2012.07.016zbMath1262.39002OpenAlexW2045593224MaRDI QIDQ714098

Yuming Shi, Xu Zhang

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.016

zbMATH Keywords

spectral theorydifference operatorhomoclinic orbitvariational methodHamiltonian systemsecond-order difference equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Homoclinic and heteroclinic orbits for dynamical systems (37C29) General theory of difference equations (39A05)

Related Items (8)

Multibump solutions of a class of second-order discrete Hamiltonian systems ⋮ Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition ⋮ Solutions for a fractional difference boundary value problem ⋮ Homoclinic solutions for second-order discrete Hamiltonian systems with asymptotically quadratic potentials ⋮ Chaotic dynamics in a class of delay controlled partial difference equations ⋮ New results for second order discrete Hamiltonian systems ⋮ Homoclinic orbits for second order discrete Hamiltonian systems with general potentials ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

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