Symplectic Invariants and Hamiltonian Dynamics (Birkh�user Advanced Texts Basler Lehrb�cher) - Tapa blanda

Hofer, Helmut; Zehnder, Eduard

9783034896719: Symplectic Invariants and Hamiltonian Dynamics (Birkh�user Advanced Texts Basler Lehrb�cher)

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ISBN 10: 3034896719 ISBN 13: 9783034896719

Editorial: Birkh�user, 2012

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Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.

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Editorial: Birkh�user
A�o de publicaci�n: 2012
Idioma: Ingl�s
ISBN 10: 3034896719
ISBN 13: 9783034896719
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N�mero de p�ginas: 364
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Symplectic Invariants and Hamiltonian Dynamics (Birkh�user Advanced Texts Basler Lehrb�cher)

Hofer, Helmut; Zehnder, Eduard

Publicado por Birkh�user, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

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Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer|Eduard Zehnder

Publicado por Birkh�user Basel, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of. N� de ref. del art�culo: 4319483

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Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer

Publicado por Springer, Basel, Birkh�user Basel, Birkh�user Okt 2012, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic map pings is very different from that of volume preserving mappings which raised new questions, many of them still unanswered. On the other hand, due to the analysis of an old variational principle in classical mechanics, global periodic phenomena in Hamiltonian systems have been established. As it turns out, these seemingly differ ent phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book which grew out of lectures given by the authors at Rutgers University, the RUB Bochum and at the ETH Zurich (1991) and also at the Borel Seminar in Bern 1992. Since the lectures did not require any previous knowledge, only a few and rather elementary topics were selected and proved in detail. Moreover, our se lection has been prompted by a single principle: the action principle of mechanics. The action functional for loops in the phase space, given by 1 Fh) = J pdq -J H(t, 'Y(t)) dt , 'Y 0 differs from the old Hamiltonian principle in the configuration space defined by a Lagrangian. The critical points of F are those loops 'Y which solve the Hamiltonian equations associated with the Hamiltonian H and hence are the periodic orbits. 346 pp. Englisch. N� de ref. del art�culo: 9783034896719

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Symplectic Invariants and Hamiltonian Dynamics

Eduard Zehnder

Publicado por Birkh�user Basel, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic map pings is very different from that of volume preserving mappings which raised new questions, many of them still unanswered. On the other hand, due to the analysis of an old variational principle in classical mechanics, global periodic phenomena in Hamiltonian systems have been established. As it turns out, these seemingly differ ent phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book which grew out of lectures given by the authors at Rutgers University, the RUB Bochum and at the ETH Zurich (1991) and also at the Borel Seminar in Bern 1992. Since the lectures did not require any previous knowledge, only a few and rather elementary topics were selected and proved in detail. Moreover, our se lection has been prompted by a single principle: the action principle of mechanics. The action functional for loops in the phase space, given by 1 Fh) = J pdq -J H(t, 'Y(t)) dt , 'Y 0 differs from the old Hamiltonian principle in the configuration space defined by a Lagrangian. The critical points of F are those loops 'Y which solve the Hamiltonian equations associated with the Hamiltonian H and hence are the periodic orbits. N� de ref. del art�culo: 9783034896719

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Symplectic Invariants and Hamiltonian Dynamics

Hofer, Helmut

Publicado por Birkhauser 2012-10, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

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Librería: Chiron Media, Wallingford, Reino Unido

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PF. Condici�n: New. N� de ref. del art�culo: 6666-IUK-9783034896719

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Symplectic Invariants and Hamiltonian Dynamics

Eduard Zehnder

Publicado por Birkh�user Basel, Springer Basel Okt 2012, 2012

ISBN 10: 3034896719 ISBN 13: 9783034896719

Nuevo Taschenbuch

Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: Neu. Neuware -The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic map pings is very different from that of volume preserving mappings which raised new questions, many of them still unanswered. On the other hand, due to the analysis of an old variational principle in classical mechanics, global periodic phenomena in Hamiltonian systems have been established. As it turns out, these seemingly differ ent phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book which grew out of lectures given by the authors at Rutgers University, the RUB Bochum and at the ETH Zurich (1991) and also at the Borel Seminar in Bern 1992. Since the lectures did not require any previous knowledge, only a few and rather elementary topics were selected and proved in detail. Moreover, our se lection has been prompted by a single principle: the action principle of mechanics. The action functional for loops in the phase space, given by 1 Fh) = J pdq -J H(t, 'Y(t)) dt , 'Y 0 differs from the old Hamiltonian principle in the configuration space defined by a Lagrangian. The critical points of F are those loops 'Y which solve the Hamiltonian equations associated with the Hamiltonian H and hence are the periodic orbits.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch. N� de ref. del art�culo: 9783034896719

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