Geography of Order and Chaos in Mechanics (eBook, PDF)
Bruno Cordani
eBook, PDF

Geography of Order and Chaos in Mechanics (eBook, PDF)

Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools

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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 systems-including for example the hydrogen atom or the solar system, with the associated Arnold web-through 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 Or...

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