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Notes on Hamiltonian Dynamical Systems
Engelsk
Bogcover for Notes on Hamiltonian Dynamical Systems af Antonio Giorgilli, 9781009151139
Specifikationer
Sprog:
Engelsk
Sider:
472
ISBN-13:
9781009151139
Indbinding:
Paperback
ISBN-10:
1009151134
Kategori:
Udg. Dato:
5 maj 2022
Størrelse i cm:
15,3 x 23,1 x 2,8
Oplagsdato:
5 maj 2022
Forfatter(e):

Notes on Hamiltonian Dynamical Systems

Engelsk
Paperback 2022
Format:

Bog beskrivelse
Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev''s theorem and superexponential stability. Its analytic approach allows students to learn about perturbation methods leading to advanced results. Key topics covered include Liouville''s theorem, the proof of Poincaré''s non-integrability theorem and the nonlinear dynamics in the neighbourhood of equilibria. The theorem of Kolmogorov on persistence of invariant tori and the theory of exponential stability of Nekhoroshev are proved via constructive algorithms based on the Lie series method. A final chapter is devoted to the discovery of chaos by Poincaré and its relations with integrability, also including recent results on superexponential stability. Written in an accessible, self-contained way with few prerequisites, this book can serve as an introductory text for senior undergraduate and graduate students.
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Specifikationer
Sprog:
Engelsk
Sider:
472
ISBN-13:
9781009151139
Indbinding:
Paperback
ISBN-10:
1009151134
Kategori:
Udg. Dato:
5 maj 2022
Størrelse i cm:
15,3 x 23,1 x 2,8
Oplagsdato:
5 maj 2022
Forfatter(e):
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