Equadiff 2011 (Minisymposium): Limit Cycles of Differential Equations:

Abstract

This mini-symposium deals with the study of limit cycles, which are isolated periodic orbits, of a continuous differential system. Our aim is to present high-valued scientific contributions to this and related topics such as bifurcations of limit cycles, weak 16th Hilbert problem, algebraic theory of integrability (theory of Darboux), the center-focus problem, isochronous centers, reversibility, nilpotent and degenerate systems, Lie symmetries, inverse integrating factor, etc. We will focus on interesting new developments on these classical problems and their interconnections.

Speakers & Talks

• Waleed Aziz, Local integrability of three dimensional Lotka-Volterra systems.
• Adriana Buica, Persistence of equilibria as periodic solutions of forced systems.
• Magdalena Caubergh, Hilbert’s 16th Problem, large amplitude and alien limit cycles.
• Colin Christopher, The tangential centre-focus problem for Darboux centres.
• Attila Dénes, Eventual stability properties of a non-autonomous Lotka-Volterra equation.
• Antoni Ferragut, Remarkable values of Darboux first integrals: The infinity and the inverse integrating factor.
• Yulij Ilyashenko, Some new types of attractors.
• Chara Pantazi, Darboux theory of integrability for non-autonomous systems.
• Goran Radunovic, Fractal analysis of Hopf bifurcation at infinity.
• Salomón Rebollo Perdomo, Limit cycles of some perturbations of linear centre.
• Maja Resman, Connections between box dimension and cyclicity for planar systems.
• Ilya Schurov, Polynomial growth of cyclicity for elementary polycycles and Hilbert-Arnold problem.