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Action-minimizing Methods in Hamiltonian Dynamics
  • Language: en
  • Pages: 128

Action-minimizing Methods in Hamiltonian Dynamics

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather’s theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquai...

Hamilton-Jacobi Equations: Theory and Applications
  • Language: en
  • Pages: 322

Hamilton-Jacobi Equations: Theory and Applications

This book gives an extensive survey of many important topics in the theory of Hamilton–Jacobi equations with particular emphasis on modern approaches and viewpoints. Firstly, the basic well-posedness theory of viscosity solutions for first-order Hamilton–Jacobi equations is covered. Then, the homogenization theory, a very active research topic since the late 1980s but not covered in any standard textbook, is discussed in depth. Afterwards, dynamical properties of solutions, the Aubry–Mather theory, and weak Kolmogorov–Arnold–Moser (KAM) theory are studied. Both dynamical and PDE approaches are introduced to investigate these theories. Connections between homogenization, dynamical aspects, and the optimal rate of convergence in homogenization theory are given as well. The book is self-contained and is useful for a course or for references. It can also serve as a gentle introductory reference to the homogenization theory.

Modern Aspects of Dynamical Systems
  • Language: en
  • Pages: 232

Modern Aspects of Dynamical Systems

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Annuario dei Ministeri delle finanze e del tesoro del Regno d'Italia
  • Language: it
  • Pages: 806

Annuario dei Ministeri delle finanze e del tesoro del Regno d'Italia

  • Type: Book
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  • Published: 1891
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  • Publisher: Unknown

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Vital Records from Central Vermont Newspapers ...: 2004
  • Language: en
  • Pages: 620

Vital Records from Central Vermont Newspapers ...: 2004

  • Type: Book
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  • Published: 2005
  • -
  • Publisher: Unknown

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Annuario ufficiale della Regia Marina
  • Language: it
  • Pages: 704

Annuario ufficiale della Regia Marina

  • Type: Book
  • -
  • Published: 1894
  • -
  • Publisher: Unknown

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Statistica delle elezioni generali politiche
  • Language: it
  • Pages: 204

Statistica delle elezioni generali politiche

  • Type: Book
  • -
  • Published: 1895
  • -
  • Publisher: Unknown

None

Calendario generale del Regno d'Italia
  • Language: it
  • Pages: 1080

Calendario generale del Regno d'Italia

  • Type: Book
  • -
  • Published: 1886
  • -
  • Publisher: Unknown

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Kelly's Directory of Merchants, Manufacturers and Shippers
  • Language: en
  • Pages: 3326

Kelly's Directory of Merchants, Manufacturers and Shippers

  • Type: Book
  • -
  • Published: 1897
  • -
  • Publisher: Unknown

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Vermont Year Book
  • Language: en
  • Pages: 528

Vermont Year Book

  • Type: Book
  • -
  • Published: 2001
  • -
  • Publisher: Unknown

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