A homotopical index and multiplicity of periodic solutions to dynamical systems with singular potential

DOI10.1016/0022-0396(92)90090-AzbMath0774.34028MaRDI QIDQ1196634

Susanna Terracini

Publication date: 16 January 1993

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

critical pointsmultiplicity of periodic solutionsdynamical systems with singular potentialfunctionals having singularities and a lack of compactnesshomotopical index theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Homotopy theory (55P99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Noncollision solutions to some singular minimization problems with Keplerian-like potentials ⋮ Multiplicity of periodic solution with prescribed energy to singular dynamical systems ⋮ Collisionless periodic solutions to some three-body problems

Cites Work

• Critical points with lack of compactness and singular dynamical systems
• Perturbation of Hamiltonian systems with Keplerian potentials
• A minimax method for a class of Hamiltonian systems with singular potentials
• Periodic solutions of a class of Hamiltonian systems with singularities
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Periodic solutions of a class of singular Hamiltonian systems
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• On a class of dynamical systems with singular potential
• A Minimizing Property of Keplerian Orbits
• Conservative Dynamical Systems Involving Strong Forces
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
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