Outer Billiards with the Dynamics of a Standard Shift on a Finite Number of Invariant Curves
DOI10.1080/10586458.2018.1563514zbMath1487.37031arXiv1811.04981OpenAlexW2963763445MaRDI QIDQ3383695
Lior Shalom, Misha Bialy, Andrey E. Mironov
Publication date: 16 December 2021
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.04981
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On a conjugacy problem in billiard dynamics
- Capillary floating and the billiard ball problem
- On algebraically integrable outer billiards
- Convex billiards and a theorem by E. Hopf
- On polynomially integrable planar outer billiards and curves with symmetry property
- On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards
- A number theoretic question arising in the geometry of plane curves and in billiard dynamics
- Some new results on Robnik billiards
- Dual billiards, twist maps and impact oscillators
- The coexistence problem" for conservative dynamical systems: a review
- Gutkin billiard tables in higher dimensions and rigidity
- The essential coexistence phenomenon in dynamics
This page was built for publication: Outer Billiards with the Dynamics of a Standard Shift on a Finite Number of Invariant Curves
