Topologic Conjugation and Asymptotic Stability in Impulsive Semidynamical Systems
نویسندگان
چکیده
We prove several results concerning topologic conjugation of two impulsive semidynamical systems. In particular, we prove that the homeomorphism which defines the topologic conjugation takes impulsive points to impulsive points; it also preserves properties as limit sets, prolongation limit sets, the minimality of positive impulsive orbits as well as stability and invariance with respect to the impulsive system. We also present the concepts of attraction and asymptotic stability in this setting and prove some related results. May, 2005 ICMC-USP
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