Qualitative Theory of Ordinary Differential Equations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: closed (31 March 2024) | Viewed by 374
Special Issue Editor
Special Issue Information
Dear Colleagues,
Numerous natural phenomena and scientific and technical models can be described using the theory of ordinary differential equations. One of the central aspects of the theory is the study of the bifurcations of its solutions. One of the most intensively studied bifurcations in dynamical systems is the limit cycle bifurcation. This topic is important also in view of the unresolved Hilbert’s 16th problem. The important properties helping to understand the qualitative behavior and bifurcations of systems of ODEs are integrability and linearizability, as well as different symmetries of the system.
You are welcome to submit your paper related to the topics mentioned above for the Special Issue.
Prof. Dr. Valery G. Romanovski
Guest Editor
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Keywords
- qualitative properties of ODEs
- integrability
- bifurcations
- linearizability
- periodic solutions
- center manifold
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