Attracting and repelling Lagrangian coherent structures from a single computation
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Publication:2787825
DOI10.1063/1.4800210zbMath1331.37108arXiv1301.4951OpenAlexW3098800800WikidataQ39391844 ScholiaQ39391844MaRDI QIDQ2787825
Mohammad Farazmand, György Haller
Publication date: 4 March 2016
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4951
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)
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Cites Work
- Unnamed Item
- A variational theory of hyperbolic Lagrangian coherent structures
- Topological methods in hydrodynamics
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Geodesic theory of transport barriers in two-dimensional flows
- A Gauss-Newton method for the integration of spatial normal fields in shape space
- Computing Lagrangian coherent structures from their variational theory
- A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures
- The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds
- Lagrangian coherent structures and the smallest finite-time Lyapunov exponent