Bifurcations for Hamiltonian systems
Abstract
Abstract Our assumptions and results include the following special versions: for a topological space Λ and H ∈ C ( Λ × S 1 × R 2 n ) $H\in C\left({\Lambda}{\times}{S}^{1}{\times}{\mathbb{R}}^{2n}\right)$ , S 1 = R / Z ${S}^{1}=\mathbb{R}/\mathbb{Z}$ , suppose that each H ( λ , t , ⋅) is C 2 and all its partial derivatives depend continuously on ( λ , t , z ) and that for each λ ∈ Λ there exists 1-periodic solution v λ : R → R 2 n ${v}_{\lambda } : \mathbb{R}\to {\mathbb{R}}^{2n}$ of v ̇ ( t ) = J ∇ z H ( λ , t , v ( t ) ) $\dot {v}\left(t\right)=J{\nabla }_{z}H\left(\lambda ,t,v\left(t\right)\right)$ such that Λ × R ∋ ( λ , t ) ↦ v λ ( t ) ∈ R 2 n ${\Lambda}{\times}\mathbb{R}\ni \left(\lambda ,t\righ
Fields of Study & Subjects
Numerical methods for differential equations
Contact Mechanics and Variational Inequalities
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Advanced Nonlinear Studies
- Publisher
- Walter de Gruyter GmbH
- Volume
- 26
- Issue
- 2
- Pages
- 408–504
- Publication date
- 1 April 2026
- Language
- EN