Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion

Abstract

Regions in the phase space of a dynamical system that resist mixing over a finite-time duration are known as almost-invariant sets (for autonomous dynamics) or coherent sets (for nonautonomous or time-dependent dynamics). These regions provide valuable information for transport and mixing processes; almost invariant sets mitigate transport between their… (More)

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