Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts) - Tapa blanda

Giorgilli, Antonio

 
9781009151139: Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)
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ISBN 10: 1009151134 ISBN 13: 9781009151139
Editorial: Cambridge University Press, 2022

Sinopsis

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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Acerca del autor

Antonio Giorgilli is a retired Professor of Mathematics at the Università degli Studi di Milano and has been elected corresponding member of Istituto Lombardo Accademia di Scienze e Lettere since 2005. He has taught courses in mathematical physics and dynamical systems ranging from undergraduate to PhD level. His research in dynamical systems focuses on the characterization of chaos, KAM theory and Nekhoroshev's theory on exponential stability. In addition to being an Invited Speaker of the 1998 International Congress of Mathematicians, Giorgilli's other notable honors include the International Gili Agostinelli Prize for Pure or Applied Mechanics or Classical Mathematical Physics by the Accademia delle Scienze di Torino in 2007. The minor planet 27855 Giorgilli, discovered in 1995, is named in his honor.

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Editorial
Cambridge University Press
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1009151134
ISBN 13 
9781009151139
Encuadernación
Tapa blanda
Número de páginas
472
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

Otras ediciones populares con el mismo título

9781009151146: Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)

Edición Destacada

ISBN 10:  1009151142 ISBN 13:  9781009151146
Editorial: Cambridge University Press, 2022
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