On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds

DOI10.1016/S0362-546X(96)00296-9zbMath0885.34041MaRDI QIDQ4346027

Massimo Furi, Marco Spadini

Publication date: 20 April 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsdegree theoryharmonic solutionsforced pendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items

Periodic solutions to perturbed nonlinear oscillators with memory ⋮ Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems ⋮ Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ Branches of forced oscillations for a class of constrained ODEs: a topological approach ⋮ A note on topological methods for a class of differential-algebraic equations ⋮ About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds ⋮ Branches of forced oscillations for periodically perturbed second-order autonomous ODEs on manifolds ⋮ Periodic perturbations of a class of functional differential equations

Cites Work

• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
• A continuation principle for forced oscillations on differentiable manifolds
• The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
• The Euler characteristic of vector fields on Banach manifolds and a globalization of Leray-Schauder degree
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• An exact sequence in differential topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item