Scaling and decay in periodically driven scattering systems

DOI10.1063/1.165954zbMath1055.37530OpenAlexW2081646269WikidataQ73464394 ScholiaQ73464394MaRDI QIDQ4526300

Peter Eckelt, Arne Beeker

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165954

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Evolution of Wigner's phase-space density under a nonintegrable quantum map
• Correlation properties of dynamical chaos in Hamiltonian systems
• Irregular scattering
• A simple model for chaotic scattering. I: Classical theory
• Chaos in one-dimensional collision complexes
• Classical cross section for chaotic potential scattering
• Cantor set structures in the singularities of classical potential scattering
• Chaotic scattering off the magnetic dipole
• Quasirandom oscillations and qualitative questions in celestial mechanics
• Hamiltonian scattering chaos in a hydrodynamical system
• CHAOTIC SCATTERING IN TIME-DEPENDENT HAMILTONIAN SYSTEMS
• Quantum manifestations of chaotic scattering

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