Shape Coherence and Finite-Time Curvature Evolution

Abstract

We introduce a definition of finite-time curvature evolution along with our recent study on shape coherence in nonautonomous dynamical systems. Comparing to slow evolving curvature preserving the shape, large curvature growth points reveal the dramatic change on shape such as the folding behaviors in a system. The level curves of the finite-time curvature evolution field indicate the existence of shape coherent sets.

3 pages and 5 figures

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Cited by in corpus (5)

• A Critical Comparison of Lagrangian Methods for Coherent Structure Detection
• A Geometric Heat-Flow Theory of Lagrangian Coherent Structures
• Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre
• Mesochronic classification of trajectories in incompressible 3D vector fields over finite times
• Using braids to quantify interface growth and coherence in a rotor-oscillator flow