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

DOI10.1134/S0012266110050034zbMath1220.34049MaRDI QIDQ610333

Sumit K. Garg

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

nonlocal reduction methodlimit cycle of the second kindphase synchronization system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

Conditions for the existence of cycles in a system of differential equations

Cites Work

• Qualitative structures and bifurcations generated by a nonlinear third- order phase synchronization equation
• Stability and oscillations of phase systems
• Investigation of a piecewise linear dynamical system with three parameters
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Conditions for the existence of limit cycles of the second kind for a system of differential equations: I