Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The low-dimensional periodic Klein-Gordon lattices are studied for integrability.
We prove that the periodic lattice with two particles and certain nonlinear potential is nonintegrable.
However, in the cases of up to six particles, we prove that their Birkhoff-Gustavson normal forms are integrable, which allows us to apply KAM theory in most cases.
American Psychological Association (APA)
Christov, Ognyan. 2018. Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1119235
Modern Language Association (MLA)
Christov, Ognyan. Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices. Advances in Mathematical Physics No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1119235
American Medical Association (AMA)
Christov, Ognyan. Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1119235
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119235
