Near Tangent Dynamics in a Class of Hamiltonian Impact Systems
DOI10.1137/21M1454596WikidataQ114073957 ScholiaQ114073957MaRDI QIDQ5095758
Michal Pnueli, Vered Rom-Kedar
Publication date: 10 August 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.11637
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
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- Bifurcations in impact systems.
- Transport in Hamiltonian systems
- Transient measures in the standard map
- Chaotic, regular and unbounded behaviour in the elastic impact oscillator
- On the application of KAM theory to discontinuous dynamical systems
- Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisions
- Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
- Polynomial conservation laws for the Lorentz gas and the Boltzmann-Gibbs gas
- Impact Oscillations: Linear Theory Of Stability And Bifurcations
- Smooth Hamiltonian Systems with Soft Impacts
- Elliptic islands appearing in near-ergodic flows
- EFFECTS DUE TO LOW VELOCITY IMPACT IN MECHANICAL OSCILLATORS
- Islands of accelerator modes and homoclinic tangles
- On Near Integrability of Some Impact Systems
- The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
- On the structure of Hamiltonian impact systems
- DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP
- Periodic Orbits Close to Grazing for an Impact Oscillator
- Jump in adiabatic invariant at a transition between modes of motion for systems with impacts
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
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