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Field name	Details
Dewey Class	530.15 (DDC 23)
Title	Geography of Order and Chaos in Mechanics (EB) : Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools / by Bruno Cordani.
Author	Cordani, Bruno. , 1945-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Birkhäuser
Publication	, 2013.
Physical Details	XVIII, 332 p. 75 illus., 27 illus. in color. : online resource.
Series	Progress in Mathematical Physics ; 64
ISBN	9780817683702
Summary Note	This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systemsâincluding for example the hydrogen atom or the solar system, with the associated Arnold webâthrough modern tools such as the frequency-modified fourier transform, wavelets, and the frequency-modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.:
Contents note	Preface -- List of Figures -- 1 Introductory Survey -- 2 Analytical Mechanics and Integrable Systems -- 3 Perturbation Theory -- 4 Numerical Tools I: ODE Integration -- 5 Numerical Tools II: Detecting Order, Chaos, and Resonances -- 6 The Kepler Problem -- 7 The KEPLER Program -- 8 Some Perturbed Keplerian Systems -- 9 The Multi-Body Gravitational Problem -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-8370-2
Links to Related Works	Subject References: Differential equations, Partial . Differential Geometry . Global differential geometry . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Nonlinear Dynamics . Numerical and Computational Physics . Partial differential equations . Authors: Cordani, Bruno. 1945- . Corporate Authors: SpringerLink (Online service) . Series: Progress in Mathematical Physics . Classification: 530.15 (DDC 23) .

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Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools

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