Notes on Hamiltonian Dynamical Systems Hardback
by Antonio (Universita degli Studi di Milano) Giorgilli
Part of the London Mathematical Society Student Texts series
Hardback
- Information
Description
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 Poincare '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 Poincare 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.
Information
-
Out of StockMore expected soonContact us for further information
- Format:Hardback
- Pages:460 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/05/2022
- Category:
- ISBN:9781009151146
Information
-
Out of StockMore expected soonContact us for further information
- Format:Hardback
- Pages:460 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/05/2022
- Category:
- ISBN:9781009151146