Homoclinic orbits for a class of nonperiodic Hamiltonian systems with some twisted conditions
Qi Wang, Qingye Zhang
TL;DR
This paper investigates the existence and multiplicity of homoclinic orbits in a class of nonperiodic Hamiltonian systems using Maslov index theory, under twisted conditions on the Hamiltonian functions.
Contribution
It introduces new existence and multiplicity results for homoclinic orbits in asymptotically linear nonperiodic Hamiltonian systems with twisted conditions.
Findings
Established conditions for existence of homoclinic orbits
Proved multiplicity results for solutions
Applied Maslov index theory to nonperiodic systems
Abstract
In this paper, by the Masolv index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems with some twisted conditions on the Hamiltonian functions
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Taxonomy
TopicsQuantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems · Spectral Theory in Mathematical Physics