Origin and infinity manifolds for mechanical systems with homogeneous potentials

DOI10.1007/BF00140121zbMath0657.58013MaRDI QIDQ1110871

Luis A. Ibort, Ernesto A. Lacomba

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

blow upmechanical systemhomogeneous functionsymplectic and contact manifolds

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Collision of rigid or pseudo-rigid bodies (70F35) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (7)

Collision and escape orbits in a generalized Hénon-Heiles model ⋮ Compactification of the energy surfaces for \(n\) bodies ⋮ The flow on negative energy of mechanical systems with homogeneous polynomial potentials ⋮ Time scaling as an infinitesimal canonical transformation ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Global dynamics of mechanical systems with cubic potentials ⋮ On the dynamics of mechanical systems with the homogeneous polynomial potential \(V = ax ^{4} + cx ^{2} y ^{2}\)

Cites Work

• Triple collision in the collinear three-body problem
• Topology and mechanics. I
• Sur un theoreme de stabilite pour un potentiel homogene
• Boundary manifolds for energy surfaces in celestial mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Origin and infinity manifolds for mechanical systems with homogeneous potentials