On the genetic memory of chaotic attractor of the barotropic ocean model

DOI10.1016/S0960-0779(99)00102-2zbMath0953.86001OpenAlexW1984635259MaRDI QIDQ1573911

N. Delaunay

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00102-2

zbMATH Keywords

Lyapunov exponentsbifurcationsexistence of global attractorbarotropic vorticity equationtime integration methodattractor dimension

Mathematics Subject Classification ID

Attractors (35B41) Hydrology, hydrography, oceanography (86A05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General theory of rotating fluids (76U05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical problems in dynamical systems (65Pxx)

Uses Software

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Cites Work

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• A comparison of two numerical methods for integrating a quasi-geostrophic multilayer model of ocean circulations: Finite element and finite difference methods
• Local Lyapunov exponents of the quasi-geostrophic ocean dynamics
• Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations
• LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
• Finite Element Models for Ocean Circulation Problems
• On the structure of the attractors of the finite-dimensional approximations of the barotropic vorticity equation on a rotating sphere
• Ergodic theory of chaos and strange attractors
• THE NAVIER-STOKES AND EULER EQUATIONS ON TWO-DIMENSIONAL CLOSED MANIFOLDS

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