Dynamics of a three-dimensional incompressible flow with stagnation points

DOI10.1016/0167-2789(92)90004-7zbMath0758.34028OpenAlexW2023135196MaRDI QIDQ1199296

John M. Finn, Yun-Tung Lau

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90004-7

zbMATH Keywords

chaotic behaviorKAM theoryglobal bifurcationsinvariant tori3-dimensional incompressible flow with stagnation pointshorseshoe phenomenon

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (10)

Transport in 3D volume-preserving flows ⋮ Global aspects of homoclinic bifurcations of three-dimensional saddles ⋮ Invariant manifold templates for chaotic advection ⋮ Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps ⋮ Leaving flatland: diagnostics for Lagrangian coherent structures in three-dimensional flows ⋮ Nilpotent normal form for divergence-free vector fields and volume-preserving maps ⋮ On interrelations between divergence-free and Hamiltonian dynamics ⋮ Distinguished material surfaces and coherent structures in three-dimensional fluid flows ⋮ Finite time transport in aperiodic flows ⋮ Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local and global behavior near homoclinic orbits
• Bifurcation phenomena near homoclinic systems: A two-parameter analysis
• Steady solutions of the Kuramoto-Sivashinsky equation
• Irregular scattering
• Global bifurcations and chaos. Analytical methods
• Chaotic streamlines in the ABC flows
• Fractal dimension in nonhyperbolic chaotic scattering
• Differentiable dynamical systems

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