KdV & KAM, Thomas Kappeler, Jürgen Pöschel

Resource Information

The instance KdV & KAM, Thomas Kappeler, Jürgen Pöschel represents a material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.

Image

http://images.btol.com/ContentCafe/Jacket.aspx?UserID=ebsco-test&Password=ebsco-test&Return=T&Value=9783540022343&Type=L

Label

KdV & KAM, Thomas Kappeler, Jürgen Pöschel

Statement of responsibility

Thomas Kappeler, Jürgen Pöschel

Instantiates

• KdV & KAM

Publication

• Berlin | New York, Springer, ©2003

Bibliography note

Includes bibliographical references and index

Carrier category

volume

Carrier category code

• nc

Carrier MARC source

rdacarrier

Content category

text

Content type code

• txt

Content type MARC source

rdacontent

Contents

I. The beginning -- 1. Overview -- II. Classical background -- 2. Hamiltonian formalism -- 3. Liouville integrable systems -- 4. Birkhoff integrable systems -- 5. KAM theory -- III. Birkhoff coordinates -- 6. Background and results -- 7. Actions -- 8. Angles -- 9. Cartesian coordinates -- 10. Orthogonality relations -- 11. The diffeomorphism property -- 12. The symplectomorphism property -- IV. Perturbed KdV equations -- 13. The main theorems -- 14. Birkhoff normal form -- 15. Global coordinates and frequencies -- 16. The KAM theorem -- 17. Proof of the main theorems -- V. The KAM proof -- 18. Set up and summary of main results -- 19. The linearized equation -- 20. The KAM step -- 21. Iteration and convergence -- 22. The excluded set of parameters -- VI. Kuksin's lemma -- 23. Kukxin's lemma -- VII. Background material -- A. Analyticity -- B. Spectra -- C. KdV hierarchy -- VIII. Psi-functions and frequencies -- D. Construction of the Psi-functions -- E. A trace formula -- F. Frequencies -- IX. Birkhoff normal forms -- G. Two results on Birkhoff normal forms -- H. Birkhoff normal form of Order 6 -- I. Kramer's lemma -- J. Nondegeneracy of the second KdV Hamiltonian -- X. Some technicalities -- K. Symplectic formalism -- L. Infinite products -- M. Auxiliary results

Control code

52182669

Dimensions

25 cm

Extent

xii, 279 pages

Isbn

9783540022343

Isbn Type

(acid-free paper)

Lccn

2003052621

Media category

unmediated

Media MARC source

rdamedia

Media type code

• n

Record ID

.b49757477