By Bruno Cordani

This unique monograph goals to discover the dynamics within the specific yet vitally important and important case of quasi-integrable Hamiltonian structures, or integrable platforms a little bit perturbed by means of different forces. With either analytic and numerical tools, the ebook reviews a number of of those systems—including for instance the hydrogen atom or the sun method, with the linked Arnold web—through sleek instruments akin to the frequency converted fourier remodel, wavelets, and the frequency modulation indicator. in the meantime, it attracts seriously at the extra ordinary KAM and Nekhoroshev theorems.

Geography of Order and Chaos in Mechanics can be a useful source for pro researchers and likely complex undergraduate scholars in arithmetic and physics, yet commonly should be a very good reference for Ph.D. scholars with an curiosity in perturbation theory.

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