Finding finite-time invariant manifolds in two-dimensional velocity fields.

No abstract is available for this paper.

• Publication year

  2000

• Venue

  Chaos

• Publication date

  2000-02-28

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1063/1.166479PMID 12779366
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• The geometry and statistics of mixing in aperiodic flows

  1999cited by this paper
• Construction of symbolic dynamics from experimental time series

  1999cited by this paper
• A method for visualization of invariant sets of dynamical systems based on the ergodic partition.

  1999cited by this paper
• ORDINARY DIFFERENTIAL EQUATIONS

  1999cited by this paper
• Geometry of Cross-Stream Mixing in a Double-Gyre Ocean Model

  1999cited by this paper
• Finite time transport in aperiodic flows

  1998cited by this paper
• Quantifying transport in numerically generated velocity fields

  1997cited by this paper
• Introduction to the Modern Theory of Dynamical Systems: Low-dimensional phenomena

  1995cited by this paper
• Analysis of Observed Chaotic Data

  1995cited by this paper
• Elementary topology of two-dimensional turbulence from a Lagrangian viewpoint and single-particle dispersion

  1993cited by this paper
• CALCULATING STABLE AND UNSTABLE MANIFOLDS

  1991cited by this paper
• The dynamics of entropy transfer in two-dimensional hydrodynamics

  1991cited by this paper
• Nonlinear Differential Equations and Dynamical Systems

  1989cited by this paper

• Multi-goal forced convection heat transfer control for cylinder under online and offline scenarios via deep reinforcement learning

  2026cites this paper
• Tracking Finite-Time Lyapunov Exponents to Robustify Neural ODEs

  2026cites this paper
• Interaction of a vortex ring with a perforated plate at different included angles

  2025cites this paper
• Numerical Simulation of Mixing Enhancement in a Single Screw Extruder by Different Internal Baffles

  2025cites this paper
• Assessing the thermohaline coherence of mesoscale eddies as described from in situ data

  2025cites this paper
• Lagrangian descriptors in geophysical flows: a survey

  2025cites this paper
• Formation of side jets from V-notched nozzles under strong forcing

  2025cites this paper
• Lagrangian analysis on mechanism of forced convection heat transfer control for cylinder via deep reinforcement learning

  2025cites this paper
• Proper orthogonal decomposition-Galerkin analysis of flow structure in moving-boundary annular flow

  2025cites this paper
• Lagrangian coherent structures and mass transport in T-junctions

  2024cites this paper
• Non-Boussinesq effect on the internal solitary wave propagation under a Lagrangian-like description for various pycnocline thickness conditions

  2024cites this paper
• Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift

  2024cites this paper
• Interaction of vortex ring with perforated plate at different included angles

  2024cites this paper
• Lagrangian Coherent Structures in the Mediterranean Sea: Seasonality and Basin Regimes

  2023cites this paper
• Extraction of Lagrangian Coherent Structures in the framework of the Lagrangian–Eulerian Stabilized Collocation Method (LESCM)

  2023cites this paper
• A Three Dimensional Lagrangian Analysis of the Smoke Plume From the 2019/2020 Australian Wildfire Event

  2023cites this paper
• On the Lagrangian dynamics of saliva particles during normal mouth breathing

  2022cites this paper
• The Presence of a Substrate Strengthens The Jet Generated by Upside-Down Jellyfish

  2022cites this paper
• Lagrangian analysis of turbulent lifted non-premixed flame toward an understanding of flame-turbulence interaction

  2022cites this paper
• Elucidating coherent structures, transport barriers and entrainment in turbulent fountains in stratified media

  2022cites this paper
• Lagrangian dynamics of contaminant particles released from a point source in New York City.

  2022cites this paper
• Integration-free Learning of Flow Maps

  2022cites this paper
• Discussion and Visualization of Distinguished Hyperbolic Trajectories as a Generalization of Critical Points to 2D Time-dependent Flow

  2022cites this paper
• Neural Flow Map Reconstruction

  2022cites this paper
• Lagrangian Identification of Coherent Structures and Mass Transport in a Buoyant Jet Diffusion Flame

  2022cites this paper
• Evolution, Structure, and Topology of Self-generated Turbulent Reconnection Layers

  2022cites this paper
• Lagrangian mixing of pulsatile flows in constricted tubes

  2022cites this paper
• Improved characterization of Lagrangian coherent structures through time-scale analysis

  2022cites this paper
• Evaluation of effect of micro-vortex generator on dynamic characteristics of unsteady partial cavitating flow over hydrofoil

  2022cites this paper
• Introduction to Vector Field Topology

  2021cites this paper
• A robust Voronoi-tessellation-based approach for detection of coherent structures in sparsely-seeded flows

  2021cites this paper
• Detection of vortical structures in sparse Lagrangian data using coherent-structure colouring

  2021cites this paper
• Data-Driven Estimation of Temporal-Sampling Errors in Unsteady Flows

  2021influential citation
• Bacteria hinder large-scale transport and enhance small-scale mixing in time-periodic flows

  2021cites this paper
• A Winding Angle Framework for Tracking and Exploring Eddy Transport in Oceanic Ensemble Simulations

  2021cites this paper
• Evolution of the Lagrangian drift and vortex added-mass of a growing vortex ring

  2021cites this paper
• Forced convection heat transfer around a circular cylinder in laminar flow: An insight from Lagrangian coherent structures

  2021cites this paper
• Non-asymptotic-time Dynamics

  2021cites this paper
• Stabilization of cyclic processes by slowly varying forcing.

  2021cites this paper
• A Voronoi-tessellation-based approach for detection of coherent structures in sparsely-seeded flows

  2021cites this paper
• Characteristic signatures of Northern Hemisphere blocking events in a Lagrangian flow network representation of the atmospheric circulation.

  2021cites this paper
• Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction

  2021influential citation
• Particle capture in a model chaotic flow.

  2021cites this paper
• A Modified Double Gyre with Ground Truth Hyperbolic Trajectories for Flow Visualization

  2020cites this paper
• Numerical Investigation of the Cavitation Effects on the Vortex Shedding from a Hydrofoil with Blunt Trailing Edge

  2020cites this paper
• Lagrangian analysis on routes to lift enhancement of airfoil by synthetic jet and their relationships with jet parameters

  2020cites this paper
• Frameworks for investigation of nonlinear dynamics: Experimental study of the turbulent jet

  2020cites this paper
• Can vortex criteria be objectivized?

  2020cites this paper
• Implicit Ray Casting of the Parallel Vectors Operator

  2020cites this paper
• Extraction of Distinguished Hyperbolic Trajectories for 2D Time‐Dependent Vector Field Topology

  2020cites this paper
• State of the Art in Time‐Dependent Flow Topology: Interpreting Physical Meaningfulness Through Mathematical Properties

  2020cites this paper
• Analysis of Transport and Mixing Phenomenon to Invariant Manifolds Using LCS and KAM Theory Approach in Unsteady Dynamical Systems

  2020cites this paper
• Vector Field Topology of Time-Dependent Flows in a Steady Reference Frame

  2020cites this paper
• Lagrangian Q-criterion and Transport of Salt and Temperature

  2020cites this paper
• Scalable In Situ Lagrangian Flow Map Extraction: Demonstrating the Viability of a Communication-Free Model

  2020cites this paper
• Objective early identification of kinematic instabilities in shear flows

  2020cites this paper
• Objective Finite-Time Saddles and their Connection to FTLE

  2019cites this paper
• Don't be jelly: Exploring effective jellyfish locomotion

  2019cites this paper
• Frequent subgraph mining in oceanographic multi-level directed graphs

  2019cites this paper
• Control of Lagrangian Coherent Structures at Stagnation and Separation Locations on Airfoils

  2019influential citation
• Fluid transportation and heat transfer analysis of PP/TiO2 nanocomposites in an internal mixer

  2019cites this paper
• Lagrangian analysis of mass transport and its influence on the lift enhancement in a flow over the airfoil with a synthetic jet

  2019cites this paper
• Multibump trajectories of adiabatically perturbed periodic Hamiltonian systems with pitchfork bifurcations

  2019cites this paper
• Naut Your Everyday Jellyfish Model: Exploring How Tentacles and Oral Arms Impact Locomotion

  2019influential citation
• Observation of nonlinear systems via finite capacity channels, Part II: Restoration entropy and its estimates

  2019cites this paper
• Synchronisation and stability in nonautonomous oscillatory systems

  2019cites this paper
• Kinematics of Lagrangian Flow Separation in External Aerodynamics

  2019influential citation
• Lagrangian uncertainty quantification and information inequalities for stochastic flows

  2019cites this paper
• Revisiting the Evaluation of In Situ Lagrangian Analysis

  2018cites this paper
• Backwards theory supports modelling via invariant manifolds for non-autonomous dynamical systems

  2018cites this paper
• Path-based measures of expansion rates and Lagrangian transport in stochastic flows

  2018influential citation
• Model parameter estimation using coherent structure colouring

  2018cites this paper
• Patterns for efficient propulsion during the energy evolution of vortex rings

  2018cites this paper
• On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation

  2018cites this paper
• Quantitative analysis of vortex added-mass and impulse generation during vortex ring formation based on elliptic Lagrangian coherent structures

  2018cites this paper
• Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation

  2018cites this paper
• Applications: Helicopter Aerodynamics

  2018cites this paper
• Lagrangian analysis of the formation of vortices on a rotating flat plate

  2018cites this paper
• Pattern Identification and Analysis in Urban Flows

  2018influential citation
• Chaotic Manifold Analysis of Four-Screw Extruders Based on Lagrangian Coherent Structures

  2018cites this paper
• Experimental investigation of unsteady separation in the rotor-oscillator flow

  2018cites this paper
• Exploring the Lyapunov instability properties of high-dimensional atmospheric and climate models

  2017cites this paper
• Review of Vortex Identification Methods

  2017cites this paper
• From large deviations to transport semidistances: coherence analysis for finite Lagrangian data

  2017cites this paper
• An observer for an occluded reaction-diffusion system with spatially varying parameters.

  2017cites this paper
• Computing stable hierarchies of fiber bundles

  2017cites this paper
• Advances and Applications of Finite-Time Lyapunov Analysis

  2017cites this paper
• Test-electron analysis of the magnetic reconnection topology

  2017cites this paper
• Identification of individual coherent sets associated with flow trajectories using coherent structure coloring.

  2017cites this paper
• Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics

  2017influential citation
• GPU-accelerated computing for Lagrangian coherent structures of multi-body gravitational regimes

  2017cites this paper
• Edinburgh Explorer A Lagrangian description of transport associated with a fronteddy interaction

  2017cites this paper
• Assessing Relative Dispersion

  2017cites this paper
• From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data

  2017cites this paper
• Kinetic measures for automatic motion analysis in CCTV systems

  2017cites this paper
• Lagrangian Tools to Study Transport and Mixing in the Ocean

  2017cites this paper
• Chaotic advection by submesoscale processes in the ocean

  2016influential citation
• Optimal perturbations for nonlinear systems using graph-based optimal transport

  2016cites this paper
• The perfect storm: Match-mismatch of bio-physical events drives larval reef fish connectivity between Pulley Ridge mesophotic reef and the Florida Keys

  2016cites this paper
• A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps

  2016cites this paper