An analytical study of chaotic stirring in tidal areas

DOI10.1016/0960-0779(94)90136-8zbMath0822.76014OpenAlexW2066683493MaRDI QIDQ1890850

H. Ridderinkhof, J. T. F. Zimmerman, S. P. Beerens

Publication date: 5 July 1995

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90136-8

zbMATH Keywords

Poincaré mapperturbed Hamiltonian systemsMelnikov's methodkinematic modeltime-dependent flowspatially periodic flowlobe structuremethod of orbit expansionsnon-monotonic relation between mixing coefficients and model parametersparticle spreading

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Sensitivity of modeled tracer motion in tidal areas to numerics and to non-Hamiltonian perturbations

Uses Software

• DSTool

Cites Work

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• Chaotic transport in dynamical systems
• Transport in two-dimensional maps
• Regular and stochastic motion
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• On the exact shape of the horizontal profile of a topographically rectified tidal flow
• Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
• Mixing by chaotic advection in a class of spatially periodic flows
• Topographic generation of residual circulation by oscillatory (tidal) currents
• Stirring by chaotic advection

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