Algebraic limit cycles in polynomial systems of differential equations
From MaRDI portal
Publication:5431401
DOI10.1088/1751-8113/40/47/012zbMath1135.34025OpenAlexW2010566124MaRDI QIDQ5431401
Publication date: 7 December 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/40/47/012
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items
On the 16th Hilbert problem for algebraic limit cycles, Unnamed Item, A new approach for the study of limit cycles, On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves, The hyperelliptic limit cycles of the Liénard systems, Polynomial differential systems with hyperbolic limit cycles, Number of limit cycles for planar systems with invariant algebraic curves, On the cubic Kukles systems with an algebraic limit cycle of degree two, A class of planar differential systems with explicit expression for two limit cycles, Unnamed Item, Liénard systems for quadratic systems with invariant algebraic curves, The cubic polynomial differential systems with two circles as algebraic limit cycles, Stable hyperbolic limit cycles for a class of differential systems, Coexistence of limit cycles in a septic planar differential system enclosing a non-elementary singular point, using Riccati equation