Limit cycle function of the second kind for autonomous systems on the cylinder

DOI10.1134/S0012266111040021zbMath1273.34040MaRDI QIDQ647675

Alexander Grin, Leonid Cherkas

Publication date: 24 November 2011

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

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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 (6)

Modal synchronization of coupled bistable van der Pol oscillators ⋮ Study of the Bifurcation of a Multiple Limit Cycle of the Second Kind by Means of a Dulac–Cherkas Function: A Case Study ⋮ Unnamed Item ⋮ Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder ⋮ Method for constructing periodic solutions of a controlled dynamic system with a cylindrical phase space ⋮ Some Applications of the Extended Bendixson-Dulac Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a Dulac function for the Kukles system
• A new uniqueness criterion for the number of periodic orbits of Abel equations
• Reduction to transversality of curves in the construction of a Dulac function
• Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane
• Extrema of the Andronov-Hopf function of a polynomial Lienard system
• On the approximation of the limit cycles function
• Centennial History of Hilbert's 16th Problem
• Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane

This page was built for publication: Limit cycle function of the second kind for autonomous systems on the cylinder