New existence of hyperbolic orbits for a class of singular Hamiltonian systems

DOI10.1186/S13661-015-0349-XzbMath1344.37035OpenAlexW1582677857WikidataQ59431433 ScholiaQ59431433MaRDI QIDQ283154

Dong-Lun Wu, Zhang, Shiqing

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0349-x

zbMATH Keywords

variational methodsasymptotic directionssingular Hamiltonian systemshyperbolic orbitsprescribed energy

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Dynamical systems with hyperbolic orbits and sets (37D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Periodic and heteroclinic orbits for a periodic Hamiltonian system
• Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems
• Globally minimizing parabolic motions in the Newtonian \(N\)-body problem
• Closed orbits of fixed energy for singular Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Nonlinear differential equations and dynamical systems
• Closed orbits of fixed energy for a class of \(N\)-body problems
• Infinite dimensional Morse theory and multiple solution problems
• A minimax method for a class of Hamiltonian systems with singular potentials
• Hyperbolic-like solutions for singular Hamiltonian systems
• Existence of even homoclinic orbits for second-order Hamiltonian systems
• Entire parabolic trajectories as minimal phase transitions
• Critical points and nonlinear variational problems
• Noncollision solutions to some singular minimization problems with Keplerian-like potentials
• Conservative Dynamical Systems Involving Strong Forces
• Homoclinic orbits for a class of Hamiltonian systems

This page was built for publication: New existence of hyperbolic orbits for a class of singular Hamiltonian systems