Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts) free ebook download.

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Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts) free ebook download

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Date:	2021	Format:	rar	Language:	English	ISBN/ASIN:	1009151142
Pages:	460	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	5/7/2022 6:18:04 PM

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Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the KolmogorovArnoldMoser 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 Poincar'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 Poincar 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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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3119055	Book	https://nitro.download/view/D8CEDA33378D...		0.00	gestalt
3119056	Book part 2	https://nitro.download/view/802E1B1DFEEA...		0.00	gestalt

Tags: Dynamical Hamiltonian London Mathematical Notes Society Student Systems Texts

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