Titlebook: Ergodic Theory, Open Dynamics, and Coherent Structures; Wael Bahsoun,Christopher Bose,Gary Froyland Conference proceedings 2014 Springer S

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https://doi.org/10.1057/9781137091437 these formul? for frequently considered situations (incompressibility, time-periodic perturbations) are demonstrated to be easily computable using Fourier transforms. Explicit connections to lobe areas and the average flux are also provided.

Commentary

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Largess

Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion,ted to tracking coherent sets over several finite-time intervals. Under this unified treatment we are able to clearly explain the fundamental differences in the aims of the techniques and describe the differences and similarities in the mathematical and numerical constructions. We explore the role o

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GLARE

A Multi-time Step Method to Compute Optical Flow with Scientific Priors for Observations of a Fluiddynamical systems. Our approaches are based on an inverse problem formalism, considering imposed scientific priors in the form of a cost function that rewards an assumed infinitesimal generator commensurate with assumed physics of the observed density evolution. This leads to a practical and princip

carotid-bruit

Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy,each prescribed escape rate. We propose and illustrate a convex optimisation-based selection scheme (essentially maximum entropy) for gaining numerical access to some of these measures. The work is similar to the maximum entropy (MAXENT) approach for calculating absolutely continuous invariant measu

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Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion,amics) 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 interior and the rest of phase space, and coherent sets are good transporters of ‘mass’ precis