Stochasticity reduction

DOI10.1063/1.865539zbMath0646.70023OpenAlexW4246551990MaRDI QIDQ3790715

John R. Cary, James D. Hanson

Publication date: 1986

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.865539

zbMATH Keywords

fixed pointsstochasticityintegrable Hamiltonian systemsreturn mapresiduesrotational transformvacuum magnetic fieldsdense set of toroidal flux surfacesequilibrium-beta estimateintegrable magnetic fieldsone and a half degrees of freedom

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Electromagnetic theory (general) (78A25)

Related Items

Reducing or enhancing chaos using periodic orbits, Hamiltonian theory of guiding-center motion, Controlling chaos in area-preserving maps

Cites Work

• Regular and stochastic motion
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