Noncompact Bifurcations of Integrable Dynamic Systems

Noncompact Bifurcations of Integrable Dynamic Systems

In the theory of integrable Hamiltonian systems, an important role is played by the study of Liouville foliations and bifurcations of their leaves. In the compact case, the problem is solved, but the noncompact case remains mostly unknown. The main goal of this article is to formulate the noncompact...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 248; no. 6; pp. 810 - 827
Main Authors: Fedoseev, D. A., Fomenko, A. T.
Format: Journal Article
Language:English
Published: New York Springer US 16-10-2020
Springer
Springer Nature B.V
Subjects:
Bifurcation theory
Chaos theory
Hamiltonian functions
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:In the theory of integrable Hamiltonian systems, an important role is played by the study of Liouville foliations and bifurcations of their leaves. In the compact case, the problem is solved, but the noncompact case remains mostly unknown. The main goal of this article is to formulate the noncompact problem and to present a set of examples of Hamiltonian systems, giving rise to noncompact bifurcations and Liouville leaves.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04915-w