Transition from order to chaos, and density limit, in magnetized plasmas

DOI10.1063/1.4745851zbMath1319.78002arXiv1202.3978OpenAlexW3106380549WikidataQ45774733 ScholiaQ45774733MaRDI QIDQ2944586

No author found.

Publication date: 2 September 2015

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

Full work available at URL: https://arxiv.org/abs/1202.3978

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35)

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Cites Work

• Unnamed Item
• Exponentially long stability times for a nonlinear lattice in the thermodynamic limit
• Nonlinear dynamics of charged particles in an oblique electromagnetic wave
• Relaxation times for Hamiltonian systems
• Twistless KAM tori
• An averaging theorem for Hamiltonian dynamical systems in the thermodynamic limit
• Study of recycling and density limit in the HT-7 superconducting tokamak
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics