Explicit invariant manifolds and specialised trajectories in a class of unsteady flows
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Publication:5247338
DOI10.1063/1.4769979zbMath1309.76044OpenAlexW2031940433MaRDI QIDQ5247338
Publication date: 23 April 2015
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/b72ef4d0a92daa2aab317fbedd284a0d52a44d0c
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
Related Items (8)
Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ Quantifying transport within a two-cell microdroplet induced by circular and sharp channel bends ⋮ Generalized Lagrangian coherent structures ⋮ Mesochronic classification of trajectories in incompressible 3D vector fields over finite times ⋮ Hyperbolic neighbourhoods as organizers of finite-time exponential stretching ⋮ Unsteadily manipulating internal flow barriers ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing ⋮ Controlling the Unsteady Analogue of Saddle Stagnation Points
Cites Work
- Investigating the stability of viscoelastic stagnation flows in T-shaped microchannels
- Existence of invariant tori in three dimensional maps with degeneracy
- Geometry of the ergodic quotient reveals coherent structures in flows
- A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea
- A variational theory of hyperbolic Lagrangian coherent structures
- Instabilities on prey dynamics in jellyfish feeding
- Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows
- On finite-time hyperbolicity
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- The dynamics of enstrophy transfer in two-dimensional hydrodynamics
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- An adaptive method for computing invariant manifolds in non-autonomous, three-dimensional dynamical systems
- Coherent sets for nonautonomous dynamical systems
- Finite time transport in aperiodic flows
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the effectiveness and limitations of local criteria for the identification of a vortex
- Existence of KAM tori in degenerate Hamiltonian systems
- Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
- Finite-time entropy: a probabilistic approach for measuring nonlinear stretching
- Exponential dichotomies and transversal homoclinic points
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Weak finite-time Melnikov theory and three-dimensional viscous perturbations of Euler flows
- Comparison of systems with complex behavior
- Stretching and alignment in chaotic and turbulent flows
- Geodesic theory of transport barriers in two-dimensional flows
- Erratum and addendum to ``A variational theory of hyperbolic Lagrangian coherent structures
- Pollution release tied to invariant manifolds: a case study for the coast of Florida
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Computing Lagrangian coherent structures from their variational theory
- Detection and characterization of transport barriers in complex flows via ridge extraction of the finite time Lyapunov exponent field
- Transport in Transitory Dynamical Systems
- Cross-separatrix flux in time-aperiodic and time-impulsive flows
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
- Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals
- The migration of a drop in a uniform temperature gradient at large Marangoni numbers
- Lagrangian coherent structures from approximate velocity data
- Note on chaotic advection in an oscillating drop
- Approach for maximizing chaotic mixing in microfluidic devices
- Compound drops as spherical shell vortices
- Formation of coherent structures by fluid inertia in three-dimensional laminar flows
- Separatrix Splitting in 3D Volume-Preserving Maps
- A computer-controlled four-roll mill for investigations of particle and drop dynamics in two-dimensional linear shear flows
- Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems
- Existence of invariant tori in volume-preserving diffeomorphisms
- Chaotic transport by Rossby waves in shear flow
- Stagnation–saddle points and flow patterns in Stokes flow between contra-rotating cylinders
- Elementary topology of two-dimensional turbulence from a Lagrangian viewpoint and single-particle dispersion
- Spread of Bollution by Dispersive Groundwater Flow
- Almost Invariant Sets in Chua's Circuit
- Melnikov theory for finite-time vector fields
- A method for visualization of invariant sets of dynamical systems based on the ergodic partition
- Finding finite-time invariant manifolds in two-dimensional velocity fields
- An objective definition of a vortex
- Instabilities of Ideal Fluids and Related Topics: Plenary Lecture, presented at the Annual GAMM Conference, Braunschweig 1994
- On the identification of a vortex
- Multi-functional Lagrangian flow structures in three-dimensional ac electro-osmotic micro-flows
- Fast computation of finite-time Lyapunov exponent fields for unsteady flows
- A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures
- Invariant-tori-like Lagrangian coherent structures in geophysical flows
- Clustering criterion for inertial particles in two-dimensional time-periodic and three-dimensional steady flows
- Ergodic theory and visualization. I. Mesochronic plots for visualization of ergodic partition and invariant sets
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
- Chaotic motions of a forced droplet-droplet oscillator
- A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- A Tangential Displacement Theory for Locating Perturbed Saddles and Their Manifolds
- The motion of a spherical liquid drop at high Reynolds number
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- Detecting barriers to transport: a review of different techniques
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