Weak almost periodic motions, minimality and stability in impulsive semidynamical systems

Author(s)

Bonotto, E. M. ^[1] ; Jimenez, M. Z. ^[1]

Affiliation

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Journal of Differential Equations; v. 256, n. 4, p. 1683-1701, FEB 15 2014.
• Web of Science Citations: 4

Abstract

In this paper, we study topological properties of semidynamical systems whose continuous dynamics are interrupted by abrupt changes of state. First, we establish results which relate various concepts as stability of Lyapunov, weakly almost periodic motions, recurrence and minimality. In the sequel, we study the stability of Zhukovskij for impulsive systems and we obtain some results about uniform attractors. (C) 2013 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 10/12250-3 - Recursive properties and attractors theory in impulsive semidynamical systems
• Grantee: Manuel Francisco Zuloeta Jimenez
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 12/16709-6 - Non-autonomous systems with impulses: convergent systems and the Navier-Stokes Equation
• Grantee: Everaldo de Mello Bonotto
• Support Opportunities: Regular Research Grants