Abstract

It is the most “mathematical” chapter in the book where chaotic transport and mixing in analytical models of meandering jets are analyzed from the point of view of dynamical systems and chaos theory. We start with a simple kinematic model of a meandering jet current and demonstrate connections between dynamical, topological, and statistical properties of chaotic mixing and zonal transport. It is shown how to identify barriers to cross-jet transport (CJT). Then we introduce a dynamically consistent model of a meandering jet current with propagating Rossby waves and develop the method to detect a core of the transport barrier and to find mechanisms of its destruction. It is shown that under appropriate conditions CJT may occur at comparatively small values of the wave amplitudes.

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