Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system

DOI10.1088/0951-7715/12/2/010zbMath0984.76085OpenAlexW2062135757MaRDI QIDQ4265695

Aleksey A. Vasiliev, Anatoly I. Neishtadt

Publication date: 10 May 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d7deb00b05c8923bcf011d4942185b622ce00705

zbMATH Keywords

adiabatic invariantrandom walkchaotic advectiondegenerate singular pointphase trajectoryseparatrix crossingaveraged systemintegrable unperturbed systemquasirandom jumpstreamline chaos

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stochastic analysis applied to problems in fluid mechanics (76M35) Diffusion and convection (76R99)

Related Items (7)

Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage ⋮ Jump of the adiabatic invariant at a separatrix crossing: degenerate cases ⋮ On passage through resonances in volume-preserving systems ⋮ Nonintegrability of dynamical systems with homo- and heteroclinic orbits ⋮ Distinguished material surfaces and coherent structures in three-dimensional fluid flows ⋮ Mixing properties of steady flow in thermocapillary driven droplets ⋮ Resonance phenomena and long-term chaotic advection in volume-preserving systems

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