Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy

2012/01/09 by Dong‐Lun Wu, Donglun Wu, Wu, Donglun +2
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.DS

paper · pdf · doi:10.48550/arxiv.1201.1791

This paper has been withdrawn by the author due to a crucial sign error in proof of Lemma 5.2

openalex publication_date 2012/01/09 · arxiv created 2012/02/09 · arxiv updated 2012/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems u(t)+∇ V(u(t))=0 by taking limit for a sequence of non-collision periodic solutions which are obtained by Mountain Pass Lemma.

Citations

• Hyperbolic Orbits for a Class of Singular Hamiltonian Systems
• Entire Parabolic Trajectories as Minimal Phase Transitions

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