Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system
From MaRDI portal
Publication:2449301
DOI10.1134/S1560354713060142zbMath1417.37217arXiv1308.4604WikidataQ125022702 ScholiaQ125022702MaRDI QIDQ2449301
Sergey V. Bolotin, Piero Negrini
Publication date: 7 May 2014
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.4604
Three-body problems (70F07) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)
Related Items
Separatrix maps in slow-fast Hamiltonian systems, Degenerate billiards in celestial mechanics, Jumps of energy near a separatrix in slow-fast Hamiltonian systems, Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system, Degenerate billiards, Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second species periodic orbits of the elliptic 3 body problem
- Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- A variational construction of chaotic trajectories for a reversible Hamiltonian system
- Periodic and chaotic trajectories of the second species for the \(n\)-centre problem
- Anti-integrability in dynamical and variational problems
- Variational approach to second species periodic solutions of Poincaré of the 3 body problem
- Transition map and shadowing lemma for normally hyperbolic invariant manifolds
- Oscillatory singularities in Bianchi models with magnetic fields
- Geometric properties of the scattering map of a normally hyperbolic invariant manifold
- Shadowing chains of collision orbits
- Local Contractions and a Theorem of Poincare
- Symbolic dynamics of almost collision orbits and skew products of symplectic maps
- Asymptotic stability with rate conditions for dynamical systems
- Trajectories in a neighbourhood of asymptotic surfaces ofa prioriunstable Hamiltonian systems
