An adaptive method for computing invariant manifolds in non-autonomous, three-dimensional dynamical systems
DOI10.1016/j.physd.2009.05.005zbMath1179.37113OpenAlexW1984607137MaRDI QIDQ843010
Stephen Wiggins, Michal Branicki
Publication date: 28 September 2009
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://www.pure.ed.ac.uk/ws/files/18236860/An_adaptive_method_for_computing_invariant_manifolds_in_non_autonomous_three_dimensional_dynamical_systems.pdf
dynamical systemsinvariant manifoldsthree-dimensional flowshyperbolic trajectoriescomputatinal methodLagrangian transportmaterial surfaces
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Invariant manifold theory for dynamical systems (37D10)
Related Items (16)
Cites Work
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- A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea
- Lagrangian transport in geophysical jets and waves. The dynamical systems approach
- Geometric theory of semilinear parabolic equations
- Chaotic transport in dynamical systems
- Dichotomies in stability theory
- Regularized vortex sheet evolution in three dimensions
- Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
- On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
- Radial basis functions for the multivariate interpolation of large scattered data sets
- Local derivative estimation for scattered data interpolation
- Invariant manifold templates for chaotic advection
- Generation of computational surface meshes of STL models
- Evolution of the Surface of Hill's Vortex Subjected to a Small Three-Dimensional Disturbance for the Cases ofm=0, 2, 3 and 4
- On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
- Stability, instability, and bifurcation phenomena in non-autonomous differential equations
- THE DYNAMICAL SYSTEMS APPROACH TO LAGRANGIAN TRANSPORT IN OCEANIC FLOWS
- Global bifurcations of the Lorenz manifold
- COMPUTING TWO-DIMENSIONAL GLOBAL INVARIANT MANIFOLDS IN SLOW–FAST SYSTEMS
- Lagrangian coherent structures in n-dimensional systems
- A new mesh generation scheme for arbitrary planar domains
- Smooth interpolation of large sets of scattered data
- Mesh relaxation: A new technique for improving triangulations
- On the Angle Condition in the Finite Element Method
- The response of Hill's spherical vortex to a small axisymmetric disturbance
- The advancing‐front mesh generation method revisited
- Chaotic advection in three-dimensional unsteady incompressible laminar flow
- Introduction to Topological Manifolds
- An Introduction to Fluid Dynamics
- Surface triangulation for polygonal models based on CAD data
- Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations
- Automatic triangulation of arbitrary planar domains for the finite element method
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Provably good moving least squares
- Dichotomies and Asymptotic Behaviour for Linear Differential Systems
- A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
- On roughness of exponential dichotomy
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