Stability analysis of the breathing circle billiard
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Publication:2675491
DOI10.1016/j.chaos.2021.111643zbMath1498.37100OpenAlexW4200596794MaRDI QIDQ2675491
Denghui Li, Zhenbang Cao, Celso Grebogi, Jian-Hua Xie, Xiao-Ming Zhang
Publication date: 24 September 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111643
Stability of solutions to ordinary differential equations (34D20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems with singularities (billiards, etc.) (37C83)
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Cites Work
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- Relativistic pendulum and invariant curves
- Unbounded orbits for semicircular outer billiard
- Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
- Periodic bounce trajectories with a low number of bounce points
- On the application of KAM theory to discontinuous dynamical systems
- Invariant tori in Hamiltonian systems with impacts
- Existence of periodic solutions in the systems of the billiard type
- Chaotic motion in the breathing circle billiard
- The existence of Aubry-Mather sets for the Fermi-Ulam model
- Approximating multi-dimensional Hamiltonian flows by billiards
- Dynamics of some piecewise smooth Fermi-Ulam models
- Invariant curves and time-dependent potentials
- Instability in Fermi-Ulam `ping-pong' problem
- Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse
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