Minimal heteroclinics for a class of fourth order O.D.E. systems. (August 2018)

• Record Type: Journal Article
• Authors: Smyrnelis, Panayotis
• Is Part Of: Nonlinear analysis. Volume 173(2018)
• Page Start: 154
• Page End: 163
• Publication Date: 2018-08
• Subjects: Fourth order equations -- Systems of O.D.E. -- Heteroclinic orbit -- Minimizer -- Variational methods; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.04.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these systems is a union of manifolds, and the heteroclinic orbits connect two disjoint components of this set.