Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools

DOI10.1007/978-0-8176-8370-2zbMath1258.70001OpenAlexW2479601368MaRDI QIDQ691695

Bruno Cordani

Publication date: 4 December 2012

Published in: Progress in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-8370-2

zbMATH Keywords

perturbationsintegrable systemsKAM theoremnumerical simulationsHamiltonian mechanicsKepler problemcelestial mechanics\texttt{MATLAB}nearly integrable systems

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Time series analysis of dynamical systems (37M10) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nearly integrable Hamiltonian systems, KAM theory (70H08) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01)

Related Items (1)

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