Chaotic dynamics in refraction galactic billiards

DOI10.1088/1361-6544/acdec2zbMath1523.37021arXiv2212.01150OpenAlexW4382537580MaRDI QIDQ6166046

Susanna Terracini, Vivina Barutello, Irene De Blasi

Publication date: 6 July 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.01150

zbMATH Keywords

billiardssymbolic dynamicstopological chaosrefractionKepler problemheteroclinic connections

Mathematics Subject Classification ID

Celestial mechanics (70F15) Symbolic dynamics (37B10) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (2)

Gravitational billiards bouncing inside general domains -- foci curves and confined domains ⋮ Chaotic dynamics in refraction galactic billiards

Cites Work

• Symbolic dynamics: from the \(N\)-centre to the \((N+1)\)-body problem, a preliminary study
• Symbolic dynamics for the \(N\)-centre problem at negative energies
• The \(n\)-centre problem of celestial mechanics for large energies
• The integrability of the \(n\)-center problem at high energies
• Degenerate billiards in celestial mechanics
• On the integrability of the \(n\)-centre problem
• Chaotic behavior in the 3-center problem.
• Periodic and chaotic trajectories of the second species for the \(n\)-centre problem
• Symbolic dynamics in the restricted elliptic isosceles three body problem
• Refraction periodic trajectories in central mass galaxies
• Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation
• Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies
• Regularization and topological entropy for the spatial n-center problem
• Topological Transitions in Metamaterials
• Integrability and non-integrability in Hamiltonian mechanics
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• Topological approach to the generalized $ n$-centre problem
• Projective dynamics and an integrable Boltzmann billiard model
• On the dynamics of inverse magnetic billiards
• Oscillatory motions for the restricted planar circular three body problem
• On some refraction billiards
• Chaotic dynamics in refraction galactic billiards
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Chaotic dynamics in refraction galactic billiards