Get Action-minimizing Methods in Hamiltonian Dynamics (MN-50): PDF

By Alfonso Sorrentino

ISBN-10: 0691164509

ISBN-13: 9780691164502

John Mather's seminal works in Hamiltonian dynamics characterize probably the most vital contributions to our knowing of the advanced stability among solid and risky motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the life of distinct orbits and invariant measures of the procedure, which own a really wealthy dynamical and geometric constitution. specifically, the linked invariant units play a number one position in choosing the worldwide dynamics of the process. This ebook offers a entire creation to Mather’s concept, and will function an interdisciplinary bridge for researchers and scholars from varied fields trying to acquaint themselves with the topic.

Starting with the mathematical historical past from which Mather’s concept was once born, Alfonso Sorrentino first specializes in the middle questions the idea goals to answer—notably the future of damaged invariant KAM tori and the onset of chaos—and describes the way it should be seen as a average counterpart of KAM concept. He achieves this by means of guiding readers via an in depth illustrative instance, which additionally presents the foundation for introducing the most principles and ideas of the final concept. Sorrentino then describes the full concept and its next advancements and functions of their complete generality.

Shedding new gentle on John Mather’s progressive rules, this publication is sure to develop into a foundational textual content within the glossy research of Hamiltonian systems.

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

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Action-minimizing Methods in Hamiltonian Dynamics (MN-50): by Alfonso Sorrentino PDF

John Mather's seminal works in Hamiltonian dynamics symbolize probably the most very important contributions to our knowing of the advanced stability among sturdy and risky motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the life of distinct orbits and invariant measures of the process, which own a really wealthy dynamical and geometric constitution.

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


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