Diffusion rates in a 4-dimensional mapping model of accelerator dynamics

DOI10.1016/0167-2789(94)90185-6zbMath0820.58040OpenAlexW2107292188MaRDI QIDQ1339246

Michael Kollmann, Tassos C. Bountis

Publication date: 11 September 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://pure.uva.nl/ws/files/2993495/600_5382y.pdf

zbMATH Keywords

Arnold diffusionmapping modelaccelerator dynamicsorbit diffusion

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation ⋮ Hamiltonian control used to improve the beam stability in particle accelerator models ⋮ Space charges can significantly affect the dynamics of accelerator maps ⋮ TIME-EVOLVING STATISTICS OF CHAOTIC ORBITS OF CONSERVATIVE MAPS IN THE CONTEXT OF THE CENTRAL LIMIT THEOREM

Cites Work

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• Resonance transport in near-integrable systems with many degrees of freedom
• Regular and stochastic motion

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