Scattered Homoclinics to a Class of Time-recurrent Hamiltonian Systems

Gregory S. Spradlin

doi:10.1051/cocv:2007023

Scattered Homoclinics to a Class of Time-recurrent Hamiltonian Systems

Gregory S. Spradlin

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.

Original language	American English
Journal	ESAIM: Control, Optimisation and Calculus of Variations
Volume	13
DOIs	https://doi.org/10.1051/cocv:2007023
State	Published - Jul 2007

Keywords

Mountain pass theorem
Palais-Smale sequences
almost periodic
Hamiltonian system

Disciplines

Ordinary Differential Equations and Applied Dynamics

Access to Document

10.1051/cocv:2007023License: Unspecified

fulltext.pdfFinal published version, 157 KBLicense: Unspecified

Cite this

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title = "Scattered Homoclinics to a Class of Time-recurrent Hamiltonian Systems",

abstract = " A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.",

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year = "2007",

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AB - A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.

KW - Mountain pass theorem

KW - Palais-Smale sequences

KW - almost periodic

KW - Hamiltonian system

U2 - 10.1051/cocv:2007023

DO - 10.1051/cocv:2007023

M3 - Article

SN - 1262-3377

VL - 13

JO - ESAIM: Control, Optimisation and Calculus of Variations

JF - ESAIM: Control, Optimisation and Calculus of Variations

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