Lagrangian coherent structures at the onset of hyperchaos in the two-dimensional Navier-Stokes equations

DOI10.1063/1.4811297zbMath1323.35133OpenAlexW2022221536WikidataQ51157654 ScholiaQ51157654MaRDI QIDQ3193331

Erico L. Rempel, Rodrigo Miranda, Benjamín A. Toledo, Pablo R. Muñoz, Norbert Seehafer, Abraham C.-L. Chian

Publication date: 28 October 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4811297

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations (35Q30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Reconstruction of chaotic saddles by classification of unstable periodic orbits: Kuramoto-Sivashinsky equation ⋮ Hyperchaos \& labyrinth chaos: revisiting Thomas-Rössler systems ⋮ On the control of the chaotic attractors of the 2-d Navier-Stokes equations ⋮ Crisis and hyperchaos in a simplified model of magnetoconvection

Cites Work

• Unnamed Item
• A variational theory of hyperbolic Lagrangian coherent structures
• On the bifurcation phenomena in truncations of the 2D Navier-Stokes equations.
• Bifurcations of tori and phase locking in a dissipative system of differential equations
• Repellers, semi-attractors, and long-lived chaotic transients
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A five-dimensional truncation of the plane incompressible Navier-Stokes equations
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Unfoldings of quasi-periodic tori in reversible systems
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Geodesic theory of transport barriers in two-dimensional flows
• Transient chaos as the backbone of dynamics on strange attractors beyond crisis
• Erratum and addendum to ``A variational theory of hyperbolic Lagrangian coherent structures
• On the nature of turbulence
• The quasi-periodic doubling cascade in the transition to weak turbulence
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Transient chaos. Complex dynamics in finite-time scales
• Computing Lagrangian coherent structures from their variational theory
• Topology of trajectories of the 2D Navier–Stokes equations
• Spatiotemporal intermittency and chaotic saddles in the regularized long-wave equation
• Analysis of chaotic saddles in high-dimensional dynamical systems: The Kuramoto–Sivashinsky equation
• Unfoldings and bifurcations of quasi-periodic tori

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