Symbolic dynamics in the restricted elliptic isosceles three body problem
From MaRDI portal
Publication:2048521
DOI10.1016/j.jde.2021.05.017zbMath1478.37086arXiv2012.04696OpenAlexW3111286955MaRDI QIDQ2048521
Claudio Vidal, Jaime Paradela, Teresa M. Seara, Marcel Guardia
Publication date: 6 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.04696
Three-body problems (70F07) Symbolic dynamics (37B10) Dynamical systems in classical and celestial mechanics (37N05)
Related Items (7)
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation ⋮ A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Chaotic dynamics in refraction galactic billiards ⋮ Global properties of generic real-analytic nearly-integrable Hamiltonian systems ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem ⋮ Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
Cites Work
- Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom
- Dynamics and chaos in the elliptic isosceles restricted three-body problem with collision
- Exponentially small splitting for the pendulum: A classical problem revisited
- Symbolic dynamics in the planar three-body problem
- Periodic solutions of the elliptic isosceles restricted three-body problem with collision
- The separation of motions in systems with rapidly rotating phase
- Some homoclinic phenomena in the three-body problem
- An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
- Splitting of separatrices for a pendulum with rapidly oscillating suspension point
- Parabolic orbits in the elliptic restricted three-body problem
- Stable manifolds associated to fixed points with linear part equal to identity.
- Separatrix splitting for a high-frequency perturbation of the pendulum.
- Global instability in the restricted planar elliptic three body problem
- Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results
- Oscillatory solutions in the planar restricted three-body problem
- Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters
- Invariant manifolds of parabolic fixed points. II: Approximations by sums of homogeneous functions
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
- Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example
- Stable and Random Motions in Dynamical Systems
- Heteroclinic Phenomena in the Isosceles Three-Body Problem
- Melnikov method and exponentially small splitting of separatrices
- Oscillatory motions for the restricted planar circular three body problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Symbolic dynamics in the restricted elliptic isosceles three body problem
