Baroclinic Flow and the Lorenz-84 Model

DOI10.1142/S0218127403007904zbMath1057.37074arXivnlin/0111022MaRDI QIDQ4655504

Lennaert Van Veen

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0111022

zbMATH Keywords

routes to chaosBaroclinic instabilityinvariant manifold reduction

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Incompressible inviscid fluids (76B99)

Related Items (17)

Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model ⋮ Extreme value laws in dynamical systems under physical observables ⋮ Limits to predictability of the asymptotic state of the Atlantic meridional overturning circulation in a conceptual climate model ⋮ Bifurcation analysis of the Topp model ⋮ Travelling waves and their bifurcations in the Lorenz-96 model ⋮ A dynamics approach to a low-order climate model ⋮ Attractor and bifurcation of forced Lorenz-84 system ⋮ Synchronizability of nonidentical weakly dissipative systems ⋮ THE FOLD-FLIP BIFURCATION ⋮ New nonlinear mechanisms of midlatitude atmospheric low-frequency variability ⋮ Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs ⋮ Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method ⋮ Admissible Perturbations of the Lorenz-84 Climate Model ⋮ Dynamical analysis of the Lorenz-84 atmospheric circulation model ⋮ On the Budyko-Sellers energy balance climate model with ice line coupling ⋮ Diffusive heat transport in Budyko's energy balance climate model with a dynamic ice line ⋮ Predictability of threshold exceedances in dynamical systems

Uses Software

• CONTENT
• AUTO

Cites Work

• Local and global behavior near homoclinic orbits
• Low-order spectral models of the atmospheric circulation: A survey
• Elements of applied bifurcation theory.
• Algorithms for computing normally hyperbolic invariant manifolds
• Predictability in the Lorenz low-order general atmospheric circulation model.
• On the nature of turbulence
• Towards global models near homoclinic tangencies of dissipative diffeomorphisms
• Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
• Bananas and Banana Splits: A Parametric Degeneracy in the Hopf Bifurcation for Maps
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• BIFURCATION AND PREDICTABILITY ANALYSIS OF A LOW-ORDER ATMOSPHERIC CIRCULATION MODEL
• Deterministic Nonperiodic Flow
• Dissipation in Lie-Poisson systems and the Lorenz-84 model

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