Recursive properties in impulsive semidynamical systems

Author(s)

Manuel Francisco Zuloeta Jiménez

• Document type: Doctoral Thesis
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
• Defense date: 2013-12-06

Examining board members

Everaldo de Mello Bonotto; Alexandre Nolasco de Carvalho; Daniela Paula Demuner; Sergio Muniz Oliva Filho; Fábio Júlio da Silva Valentim

• Advisor: Everaldo de Mello Bonotto

Abstract

The theory of impulsive semidynamical systems is an important and modern chapter of the theory of topological dynamical systems. Impulsive systems describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. This kind of systems admits various interesting phenomena sometimes, because of their irregularity, and sometimes because of their regularity. In many natural phenomena, the real deterministic models are often described by systems which involve impulses. This theory has been developed continuously. This work presents original results involving the theory of minimal sets, recurrent motions, almost periodic and weakly almost periodic motions, the study of Lyapunov stability and Zhukovshij Quasi stability and the construction of negative trajectories for impulsive semidynamical systems. The new results presented in this work are contained in three papers namely [13], [14] and [15] (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