Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory (Mathematical Notes)

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9780691164502: Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory (Mathematical Notes)

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 acquaint themselves with the topic.

Starting with the mathematical background from which Mather’s theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer―notably the destiny of broken invariant KAM tori and the onset of chaos―and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality.

Shedding new light on John Mather’s revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems.

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About the Author:

Alfonso Sorrentino is associate professor of mathematics at the University of Rome "Tor Vergata" in Italy. He holds a PhD in mathematics from Princeton University.

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Descripción Princeton University Press, United States, 2015. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 acquaint themselves with the topic.Starting with the mathematical background from which Mather s theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer-notably the destiny of broken invariant KAM tori and the onset of chaos-and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality.Shedding new light on John Mather s revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems. Nº de ref. de la librería AAZ9780691164502

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Descripción Princeton University Press, United States, 2015. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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 acquaint themselves with the topic. Starting with the mathematical background from which Mather s theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer--notably the destiny of broken invariant KAM tori and the onset of chaos--and describes how it can be viewed as a natural counterpart of KAM theory.He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality. Shedding new light on John Mather s revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems. Nº de ref. de la librería AAZ9780691164502

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Descripción Princeton University Press. Paperback. Estado de conservación: new. BRAND NEW, Action-Minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-Mather Theory, Alfonso Sorrentino, 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 acquaint themselves with the topic. Starting with the mathematical background from which Mather's theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer--notably the destiny of broken invariant KAM tori and the onset of chaos--and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality. Shedding new light on John Mather's revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems. Nº de ref. de la librería B9780691164502

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Descripción Princeton University Press, 2015. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0691164509

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Descripción Princeton University Press, 2015. Estado de conservación: New. Series: Mathematical Notes. Num Pages: 128 pages, 4 line illus. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 158 x 235 x 11. Weight in Grams: 220. . 2015. Paperback. . . . . . Nº de ref. de la librería V9780691164502

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Descripción Princeton University Press, 2015. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691164502

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Descripción Paperback. Estado de conservación: New. Not Signed; 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 a. book. Nº de ref. de la librería ria9780691164502_rkm

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