Optimal perturbation for enhanced chaotic transport
From MaRDI portal
Publication:1779763
DOI10.1016/j.physd.2004.11.018zbMath1080.34028OpenAlexW1999879031MaRDI QIDQ1779763
Publication date: 1 June 2005
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2004.11.018
Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Incompressible inviscid fluids (76B99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (11)
Transport between Two Fluids across Their Mutual Flow Interface: The Streakline Approach ⋮ A shell model for optimal mixing ⋮ Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows ⋮ Quantifying transport within a two-cell microdroplet induced by circular and sharp channel bends ⋮ Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre ⋮ Optimal perturbations for nonlinear systems using graph-based optimal transport ⋮ Approach for maximizing chaotic mixing in microfluidic devices ⋮ Absolute flux optimising curves of flows on a surface ⋮ Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing ⋮ A Map Approach to Stationary Solutions of the DNLS Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite time transport in aperiodic flows
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Transport in Hamiltonian systems
- Chaotic transport in dynamical systems
- Transport in 3D volume-preserving flows
- Frequency spanning homoclinic families.
- Mixing measures for a two-dimensional chaotic Stokes flow
- The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties
- Transport in two-dimensional maps
- Exponential dichotomies and transversal homoclinic points
- Weak finite-time Melnikov theory and three-dimensional viscous perturbations of Euler flows
- Chaotic advection in bounded Navier–Stokes flows
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Universal properties of chaotic transport in the presence of diffusion
- Optimal mixing in recirculation zones
- Control of stretching rate in time-periodic chaotic flows
- Symplectic maps, variational principles, and transport
- Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows
- The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$
- Viscous perturbations of vorticity-conserving flows and separatrix splitting
- Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas
- Control of mixing in fluid flow: a maximum entropy approach
- Chaotic mixing in a bounded three-dimensional flow
- Melnikov theory for finite-time vector fields
- Stirring by chaotic advection
- Introduction: mixing in microfluidics
- Direct Chaotic Flux Quantification in Perturbed Planar Flows: General Time-Periodicity
This page was built for publication: Optimal perturbation for enhanced chaotic transport