Finite-time braiding exponents
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Publication:4591744
DOI10.1063/1.4927438zbMath1374.37111arXiv1502.02162OpenAlexW1553328572WikidataQ40586255 ScholiaQ40586255MaRDI QIDQ4591744
Jean-Luc Thiffeault, Marko Budišić
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.02162
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Topological entropy (37B40) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)
Related Items
Local stable and unstable manifolds and their control in nonautonomous finite-time flows, Generalized Lagrangian coherent structures, Using heteroclinic orbits to quantify topological entropy in fluid flows, Hyperbolic neighbourhoods as organizers of finite-time exponential stretching, Material coherence from trajectories via Burau eigenanalysis of braids, Dynamics and transport properties of three surface quasigeostrophic point vortices, Unsteadily manipulating internal flow barriers, Using Invariant Manifolds to Construct Symbolic Dynamics for Three-Dimensional Volume-Preserving Maps, Trajectory-free approximation of phase space structures using the trajectory divergence rate, Topological Entropy of Surface Braids and Maximally Efficient Mixing
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Cites Work
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- On computing the entropy of braids
- On the topological entropy of families of braids
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Statistical properties of dynamical systems with some hyperbolicity
- Topological methods in surface dynamics
- Limit theorems for products of positive random matrices
- Finite-time entropy: a probabilistic approach for measuring nonlinear stretching
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Topological fluid mechanics of point vortex motions
- Convergence analysis of Davidchack and Lai's algorithm for finding periodic orbits
- Geodesic theory of transport barriers in two-dimensional flows
- Topological entropy and secondary folding
- On the complexity of braids.
- On the estimation of topological entropy
- Topological chaos in spatially periodic mixers
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Do Finite-Size Lyapunov Exponents detect coherent structures?
- Applied and Computational Measurable Dynamics
- Lagrangian Statistics from Oceanic and Atmospheric Observations
- Computers and the Theory of Statistics: Thinking the Unthinkable
- The set of minimal braids is co-NP-complete
- Lagrangian coherent structures from approximate velocity data
- Globally enumerating unstable periodic orbits for observed data using symbolic dynamics
- Power-Law Distributions in Empirical Data
- Global shadowing of pseudo-Anosov homeomorphisms
- Entropy and volume
- Entropy and Exponential Growth of π 1 in Dimension Two
- Braids, Links, and Mapping Class Groups. (AM-82)
- Predictability in the large: an extension of the concept of Lyapunov exponent
- On a Yang-Baxter map and the Dehornoy ordering
- Topological fluid mechanics of stirring
- Control of mixing in fluid flow: a maximum entropy approach
- In search of minimal random braid configurations
- A Brief History of Generative Models for Power Law and Lognormal Distributions
- Stirring by chaotic advection
- Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
- Topology, braids and mixing in fluids
- Topological Entropy of Braids on the Torus
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- Rigorous computation of topological entropy with respect to a finite partition
