Uniform Invariance Principle and Synchronization. Robustness with Respect to Parameter Variation

The objective of this work is to obtain uniform estimates, with respect to parameters, of the attractor and of the basin of attraction of a dynamical system and to apply these results to analyze the roughness of the synchronization of two subsystems. These estimates are obtained through a uniform version of the invariance principle of La Salle which is stated and proved in this work.