On the geometry of an atmospheric slow manifold

DOI10.1016/0167-2789(94)00239-MzbMath0889.34042OpenAlexW2083308101MaRDI QIDQ5917640

Roberto Camassa

Publication date: 19 June 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00239-m

zbMATH Keywords

singular perturbationchaotic dynamicspenduluminvariant manifoldsdynamical systemhomoclinic orbitsharmonic oscillatorMelnikov-type methodssaddle-center fixed point

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Meteorology and atmospheric physics (86A10) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (8)

The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories ⋮ On some properties and symmetries of the 5-dimensional Lorenz system ⋮ On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves ⋮ Dynamics of driven coupled oscillators with shape deformable potential. ⋮ The slow invariant manifold of the Lorenz-Krishnamurthy model ⋮ Hadley and rossby regimes in a simple model of convection of a rotating fluid ⋮ Balanced data assimilation for highly oscillatory mechanical systems ⋮ A short proof of chaos in an atmospheric system

Cites Work

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• Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
• Applications of centre manifold theory
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• Global bifurcations and chaos. Analytical methods
• Matched asymptotic expansions. Ideas and techniques
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• \(N\)-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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