Chaotic dynamics of passive particles in three-vortex system: Dynamical analysis
Analytical study of a passive particle advection in three point-vortex system is described in details. We specify two extreme cases of strong and weak chaos depending on the geometry of 3-vortex system. Mappings are derived for both cases and domains of chaotic dynamics are calculated analytically. We discuss the origin of the coherent vortex cores — holes in the stochastic sea filled with KAM orbits, and obtain the expression for the core radius in case of strong chaos. A weak dependence of core radius on geometrical parameters is discovered. For the case of weak chaos the separatrix map is constructed and the stochastic layer width is estimated. Numerical simulations have been performed and it was found that there exists a fine structure of the coherent core boundary layer, which consists of islands and subislands. We also have found the stickiness of the advected particle to the boundaries of vortex cores.
KeywordsVortex Core Point Vortex Passive Particle Chaotic Advection Poincare Section
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