New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Aubry-Mather Theory.- Mather-Mané Theory.- The Minimal Action and Convex Billiards.- The Minimal Action Near Fixed Points and Invariant Tori.- The Minimal Action and Hofer's Geometry.- The Minimal Action and Symplectic Geometry.- References.- Index.
Book by Siburg Karl Friedrich
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Paperback. Condizione: new. Paperback. New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mathers minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540219446
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