On the global dynamical properties of a Fermi–Ulam model

DOI10.1080/10236198.2021.2003793zbMath1490.37086OpenAlexW3213063603MaRDI QIDQ5023845

Yuan Yue, Celso Grebogi, Zhenbang Cao, Denghui Li, Jian-Hua Xie

Publication date: 25 January 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.2003793

zbMATH Keywords

non-smooth dynamical systemtwist mapAubry-Mather setFermi-Ulam model

Mathematics Subject Classification ID

Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35) Dynamical aspects of twist maps (37E40) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (1)

Global dynamics of the breathing circle billiard

Cites Work

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• Periodic window arising in the parameter space of an impact oscillator
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Relativistic pendulum and invariant curves
• Aubry-Mather sets for relativistic oscillators with anharmonic potentials
• Vibro-impact dynamics. Modeling, mapping and applications
• Aubry-Mather sets for finite-twist maps of a cylinder and semilinear Duffing equations
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators
• The existence of Aubry-Mather sets for the Fermi-Ulam model
• Piecewise-smooth dynamical systems. Theory and applications
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Stochastic Regular Grazing Bifurcations
• Nonsmooth one-dimensional maps: some basic concepts and definitions
• Dynamics of an impact oscillator near a degenerate graze
• Complete orbits for twist maps on the plane: the case of small twist
• Dual billiards, twist maps and impact oscillators
• Invariant curves and time-dependent potentials
• Instability in Fermi-Ulam `ping-pong' problem
• Discontinuity geometry for an impact oscillator
• Sinai–Ruelle–Bowen measure for normal form map of grazing bifurcations of impact oscillators
• Acceleration of bouncing balls in external fields
• CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS
• Asymmetric Oscillators and Twist Mappings
• Coexistence of bounded and unbounded motions in a bouncing ball model
• On the Origin of the Cosmic Radiation

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