Boundaries of the Region of Stability of Autonomous Hamiltonian Systems

The main goal of the work is to construct the boundaries of the stability regions of the stationary solution of autonomous Hamiltonian systems in the parameter plane. The paper specifies the conditions under which one or more smooth boundary curves pass through a point of the boundary of the stabili...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-05, Vol.44 (5), p.1833-1838
Main Authors: Belova, A. S., Ibragimova, L. S., Mustafina, I. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Hamiltonian functions
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Smooth boundaries
Stability
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Summary:The main goal of the work is to construct the boundaries of the stability regions of the stationary solution of autonomous Hamiltonian systems in the parameter plane. The paper specifies the conditions under which one or more smooth boundary curves pass through a point of the boundary of the stability region.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223050098