Chaotic properties of the truncated elliptical billiards
From MaRDI portal
Publication:718321
DOI10.1016/j.cnsns.2010.03.007zbMath1221.37065arXiv0903.3479OpenAlexW2047738605MaRDI QIDQ718321
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3479
Poincaré sectionsHamiltonian systemchaotic billiardsbox-counting methodchaotic fractionelliptical stadium billiardoptical resonatororbit stabilityresonant cavitiestruncated elliptical billiard
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Criterion of absolute focusing for focusing component of billiards
- On the dynamical properties of an elliptical-oval billiard with static boundary
- Principles for the design of billiards with nonvanishing Lyapunov exponents
- On the ergodic properties of nowhere dispersing billiards
- Using integrability to produce chaos: Billiards with positive entropy
- Chaos in classical and quantum mechanics
- On ergodic properties of certain billiards
- Bernoulli elliptical stadia
- Chaotic properties of the elliptical stadium
- A lower bound for chaos on the elliptical stadium
- Chaotic dynamics of the elliptical stadium billiard in the full parameter space
- About ergodicity in the family of limaçon billiards
- Ergodicity of a class of truncated elliptical billiards
- Classical solutions for a free particle in a confocal elliptic billiard
- New ergodic billiards: exact results
- Stickiness in mushroom billiards
- One-particle and few-particle billiards
- Semiclassical level spacings when regular and chaotic orbits coexist
- Numerical experiments on quantum chaotic billiards
- New universal aspects of diffusion in strongly chaotic systems
- Billiard in a barrel
- A two-parameter study of the extent of chaos in a billiard system
- General Poissonian model of diffusion in chaotic components
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems
- Dynamical systems with elastic reflections
- Mushrooms and other billiards with divided phase space
- Elliptic islands on the elliptical stadium
This page was built for publication: Chaotic properties of the truncated elliptical billiards