Arnold Diffusion of Charged Particles in ABC Magnetic Fields

Author:

Luque Alejandro,Peralta-Salas Daniel

Funder

European Research Council (BE)

Ministerio de Economía y Competitividad (ES)

Agència de Gestió d’Ajuts Universitaris i de Recerca

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Reference48 articles.

1. Arnold, V.I.: Instability of dynamical systems with several degrees of freedom. Sov. Math. Dokl. 5, 581–585 (1964)

2. Arnold, V.I.: Sur la topologie des écoulements stationnaires des fluides parfaits. C. R. Acad. Sci. Paris 261, 17–20 (1965)

3. Bernard, P.: The dynamics of pseudographs in convex Hamiltonian systems. J. Am. Math. Soc. 21, 615–669 (2008)

4. Bernard, P., Kaloshin, V., Zhang, K.: Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders. Acta Math. (2011). arXiv:1112.2773

5. Bolotin, S., Treschev, D.: Unbounded growth of energy in nonautonomous Hamiltonian systems. Nonlinearity 12, 365–388 (1999)

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1. Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the Three‐Body Problem;Communications on Pure and Applied Mathematics;2021-07-29

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