Conditions for the existence of limit cycles of the second kind for a system of differential equations: II

Conditions for the existence of limit cycles of the second kind for a system of differential equations: II

For a system of differential equations with a cylindrical phase space, we obtain conditions for the existence of several limit cycles of the second kind. These results are applied to phase synchronization systems.

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Veröffentlicht in:Differential equations 2010-08, Vol.46 (8), p.1085-1094
1. Verfasser: Mamonov, S. S.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Inequality
Mathematics
Mathematics and Statistics
Numerical analysis
Ordinary Differential Equations
Partial Differential Equations
Studies
Synchronism
Synchronization
Topological manifolds
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Beschreibung
Zusammenfassung:For a system of differential equations with a cylindrical phase space, we obtain conditions for the existence of several limit cycles of the second kind. These results are applied to phase synchronization systems.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266110080021