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- Lagrangian_coherent_structure abstract "Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest. The type of this influence may vary, but it invariably creates a coherent trajectory pattern for which the underlying LCS serves as a theoretical centerpiece. In observations of tracer patterns in nature, one readily identifies coherent features, but it is often the underlying structure creating these features that is of interest.Indeed, individual tracer trajectories forming coherent patterns are generally sensitive with respect to changes in their initial conditions and the system parameters. In contrast, the LCSs creating these trajectory patterns turn out to be robust and provide a simplified skeleton of the overall dynamics of the system. Physical examples include floating debris, oil spills, surface drifters and chlorophyll patterns in the ocean; clouds of volcanic ash and spores in the atmosphere; and coherent crowd patterns formed by humans and animals.While LCSs may exist in any dynamical system, their role in creating coherent patterns is perhaps most readily observable in fluid flows. The images below are examples of how different types of LCSs hidden in geophysical flows shape tracer patterns.".
- Lagrangian_coherent_structure thumbnail Material_surface.jpg?width=300.
- Lagrangian_coherent_structure wikiPageExternalLink LMK23.zip.
- Lagrangian_coherent_structure wikiPageExternalLink FlowTK.
- Lagrangian_coherent_structure wikiPageExternalLink mangen-1.4.4.zip.
- Lagrangian_coherent_structure wikiPageExternalLink www.volcanodiscovery.com.
- Lagrangian_coherent_structure wikiPageExternalLink flowVC.
- Lagrangian_coherent_structure wikiPageExternalLink LCSETH.
- Lagrangian_coherent_structure wikiPageExternalLink Newman.
- Lagrangian_coherent_structure wikiPageExternalLink cuda_ftle.
- Lagrangian_coherent_structure wikiPageID "25077398".
- Lagrangian_coherent_structure wikiPageLength "63888".
- Lagrangian_coherent_structure wikiPageOutDegree "71".
- Lagrangian_coherent_structure wikiPageRevisionID "707971114".
- Lagrangian_coherent_structure wikiPageWikiLink Attractor.
- Lagrangian_coherent_structure wikiPageWikiLink Autonomous_system_(mathematics).
- Lagrangian_coherent_structure wikiPageWikiLink Category:Chaos_theory.
- Lagrangian_coherent_structure wikiPageWikiLink Category:Dynamical_systems.
- Lagrangian_coherent_structure wikiPageWikiLink Category:Fluid_dynamics.
- Lagrangian_coherent_structure wikiPageWikiLink Category:Turbulence.
- Lagrangian_coherent_structure wikiPageWikiLink Chaos_theory.
- Lagrangian_coherent_structure wikiPageWikiLink Diffeomorphism.
- Lagrangian_coherent_structure wikiPageWikiLink Dynamical_system.
- Lagrangian_coherent_structure wikiPageWikiLink Dynamical_systems_theory.
- Lagrangian_coherent_structure wikiPageWikiLink Finite_strain_theory.
- Lagrangian_coherent_structure wikiPageWikiLink Fluid_dynamics.
- Lagrangian_coherent_structure wikiPageWikiLink Fluid_parcel.
- Lagrangian_coherent_structure wikiPageWikiLink Frobenius_theorem_(differential_topology).
- Lagrangian_coherent_structure wikiPageWikiLink Geodesics_in_general_relativity.
- Lagrangian_coherent_structure wikiPageWikiLink Great_Red_Spot.
- Lagrangian_coherent_structure wikiPageWikiLink Hamiltonian_system.
- Lagrangian_coherent_structure wikiPageWikiLink Inequality_(mathematics).
- Lagrangian_coherent_structure wikiPageWikiLink Invariant_manifold.
- Lagrangian_coherent_structure wikiPageWikiLink Kolmogorov–Arnold–Moser_theorem.
- Lagrangian_coherent_structure wikiPageWikiLink Levi-Civita_symbol.
- Lagrangian_coherent_structure wikiPageWikiLink List_of_continuity-related_mathematical_topics.
- Lagrangian_coherent_structure wikiPageWikiLink Lyapunov_exponent.
- Lagrangian_coherent_structure wikiPageWikiLink Matrix_similarity.
- Lagrangian_coherent_structure wikiPageWikiLink Metric_tensor.
- Lagrangian_coherent_structure wikiPageWikiLink Metric_tensor_(general_relativity).
- Lagrangian_coherent_structure wikiPageWikiLink Navier–Stokes_equations.
- Lagrangian_coherent_structure wikiPageWikiLink Newtons_laws_of_motion.
- Lagrangian_coherent_structure wikiPageWikiLink Normally_hyperbolic_invariant_manifold.
- Lagrangian_coherent_structure wikiPageWikiLink Objectivity_(frame_invariance).
- Lagrangian_coherent_structure wikiPageWikiLink Phase_space.
- Lagrangian_coherent_structure wikiPageWikiLink Polar_decomposition.
- Lagrangian_coherent_structure wikiPageWikiLink Pseudo-Riemannian_manifold.
- Lagrangian_coherent_structure wikiPageWikiLink Ridge.
- Lagrangian_coherent_structure wikiPageWikiLink Tangent_space.
- Lagrangian_coherent_structure wikiPageWikiLink Trajectory.
- Lagrangian_coherent_structure wikiPageWikiLink Trench.
- Lagrangian_coherent_structure wikiPageWikiLink Turbulence.
- Lagrangian_coherent_structure wikiPageWikiLink Category:Invariant_manifolds.
- Lagrangian_coherent_structure wikiPageWikiLink File:2DLCS.jpg.
- Lagrangian_coherent_structure wikiPageWikiLink File:Attracting_repelling_LCS.jpeg.
- Lagrangian_coherent_structure wikiPageWikiLink File:FTLE-Cy2d-Combined-Height7.png.
- Lagrangian_coherent_structure wikiPageWikiLink File:LCS-RedTide.png.
- Lagrangian_coherent_structure wikiPageWikiLink File:Localvari.jpeg.
- Lagrangian_coherent_structure wikiPageWikiLink File:Material_surface.jpg.
- Lagrangian_coherent_structure wikiPageWikiLink File:Nearshore_FTLE_of_tidal_interface.png.
- Lagrangian_coherent_structure wikiPageWikiLink File:Olascoaga-Haller-2012-fig5.jpg.
- Lagrangian_coherent_structure wikiPageWikiLink File:PRA_for_2D_turbulence.pdf.
- Lagrangian_coherent_structure wikiPageWikiLink File:PRA_for_ABC.pdf.
- Lagrangian_coherent_structure wikiPageWikiLink File:Repelling_LCS_for_double_gyre.tiff.
- Lagrangian_coherent_structure wikiPageWikiLink File:Skeleton_turbulence.png.
- Lagrangian_coherent_structure wikiPageWikiLink File:VARI_LCS_3D_ABC.tiff.
- Lagrangian_coherent_structure wikiPageWikiLink File:Vortex_advection.jpg.
- Lagrangian_coherent_structure wikiPageWikiLink File:Wikipedia_image_2.png.
- Lagrangian_coherent_structure wikiPageWikiLinkText "LCSs".
- Lagrangian_coherent_structure wikiPageWikiLinkText "Lagrangian Coherent Structures".
- Lagrangian_coherent_structure wikiPageWikiLinkText "Lagrangian coherent structure".
- Lagrangian_coherent_structure wikiPageWikiLinkText "Lagrangian coherent structures".
- Lagrangian_coherent_structure wikiPageUsesTemplate Template:Cite_journal.
- Lagrangian_coherent_structure wikiPageUsesTemplate Template:Reflist.
- Lagrangian_coherent_structure subject Category:Chaos_theory.
- Lagrangian_coherent_structure subject Category:Dynamical_systems.
- Lagrangian_coherent_structure subject Category:Fluid_dynamics.
- Lagrangian_coherent_structure subject Category:Turbulence.
- Lagrangian_coherent_structure subject Category:Invariant_manifolds.
- Lagrangian_coherent_structure type Dynamic.
- Lagrangian_coherent_structure type Mechanic.
- Lagrangian_coherent_structure type Physic.
- Lagrangian_coherent_structure comment "Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest. The type of this influence may vary, but it invariably creates a coherent trajectory pattern for which the underlying LCS serves as a theoretical centerpiece.".
- Lagrangian_coherent_structure label "Lagrangian coherent structure".
- Lagrangian_coherent_structure sameAs Q6472695.
- Lagrangian_coherent_structure sameAs m.09g6dgr.
- Lagrangian_coherent_structure sameAs Q6472695.
- Lagrangian_coherent_structure sameAs 拉格朗日拟序结构.
- Lagrangian_coherent_structure wasDerivedFrom Lagrangian_coherent_structure?oldid=707971114.
- Lagrangian_coherent_structure depiction Material_surface.jpg.
- Lagrangian_coherent_structure isPrimaryTopicOf Lagrangian_coherent_structure.