Canards et enlacements
Center conditions for a simple class of quintic systems.
Centering conditions for planar septic systems.
Centres and limit cycles for an extended Kukles system.
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Commutators and linearizations of isochronous centers
We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous centers....
Complete polynomial vector fields in simplexes with application to evolutionary dynamics.
Complex centers of polynomial differential equations.
Concerning two methods of defining the center of a dynamical system, II
Conjugate points of solutions of an iterated differential equation of the -th order
Constant invariant solutions of the Poincaré center-focus problem.
Control of limit cycle oscillations of a two-dimensional aeroelastic system.
Correction to: Separatrices and singular points; Volume 20 (1980), 59-72.
Cubic and quartic planar differential systems with exact algebraic limit cycles.