Uniform stability and semi-stability of motions in dynamical systems on metric spaces
Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.
Uniqueness of limit cycles bounded by two invariant parabolas
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.