Titlebook: Hamiltonian Systems with Three or More Degrees of Freedom; Carles Simó Book 1999 Springer Science+Business Media Dordrecht 1999 Kolmogorov

政府

https://doi.org/10.1057/9781137364593rturbation, and to the study of the global dynamics of a 4 dimensional symplectic mapping with definite or indefinite torsion. The convergence of the frequency analysis algorithm on KAM solutions is demonstrated, and the asymptotic value of the error is provided.

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Isolate

Introduction to Frequency Map Analysisrturbation, and to the study of the global dynamics of a 4 dimensional symplectic mapping with definite or indefinite torsion. The convergence of the frequency analysis algorithm on KAM solutions is demonstrated, and the asymptotic value of the error is provided.

天气

978-94-010-5968-8Springer Science+Business Media Dordrecht 1999

NAG

出血

https://doi.org/10.1007/978-94-011-4673-9Kolmogorov–Arnold–Moser theorem; Signatur; degrees of freedom; dynamics; mechanics; partial differential

forthy

https://doi.org/10.1007/978-3-319-73524-5If (..,.) is a surface with Riemannian metric, then a family of immersed curves .. | 0 ≤ . < . on .. evolves by . if where .. is the geodesic curvature, and . is a unit normal to the curve. Since ... can be written as where . is arclength along ., (1) is essentially a parabolic equation, i.e. a nonlinear heat equation.

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https://doi.org/10.1007/978-1-4899-1772-0The study of order and chaos in 3-D systems is a subject of great current interest. Although many aspects of these problems in 2-D systems are more or less understood, the corresponding problems in systems of 3 degrees of freedom are still largely unexplored.