Edge manifold as a Lagrangian coherent structure in a high-dimensional state space
Miguel Beneitez, Yohann Duguet, Philipp Schlatter, Dan S. Henningson
Abstract
The authors use concepts and tools from Lagrangian data analysis to investigate the edge manifold in hydrodynamics. The paper identifies the edge manifold as a Lagrangian coherent structure of infinite dimension.
Topics & Concepts
Manifold (fluid mechanics)LagrangianInvariant manifoldCenter manifoldMathematicsSpace (punctuation)Enhanced Data Rates for GSM EvolutionPhysicsLagrangian coherent structuresMathematical analysisComplex manifoldManifold alignmentClosed manifoldGeometryPseudo-Riemannian manifoldInverse problem for Lagrangian mechanicsThree-dimensional spaceStable manifoldTopology (electrical circuits)Statistical manifoldState spaceHilbert manifoldClassical mechanicsQuantum chaos and dynamical systemsFluid Dynamics and Turbulent FlowsNonlinear Dynamics and Pattern Formation