Recursive properties and attractors theory in impulsive semidynamical systems

• Grant number: 10/12250-3
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: November 01, 2010
• End date: September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Everaldo de Mello Bonotto
• Grantee: Manuel Francisco Zuloeta Jimenez
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The present project concerns about the theory of systems which describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. This phenomenon is called impulse. In many natural phenomena, thereal deterministic models are often described by systems which involve impulses.This project lies on the investigation of recursive properties and attractors theory in impulsive semidynamical systems.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BONOTTO, EVERALDO M.; JIMENEZ, MANUEL Z.. ON IMPULSIVE SEMIDYNAMICAL SYSTEMS: MINIMAL, RECURRENT AND ALMOST PERIODIC MOTIONS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 44, n. 1, p. 121-141, SEP 2014. (10/12250-3, 10/08994-7)

BONOTTO, E. M.; JIMENEZ, M. Z.. Weak almost periodic motions, minimality and stability in impulsive semidynamical systems. Journal of Differential Equations, v. 256, n. 4, p. 1683-1701, FEB 15 2014. (10/12250-3, 12/16709-6)

AFONSO, S. M.; BONOTTO, E. M.; JIMENEZ, M. Z.. Negative trajectories in impulsive semidynamical systems. Journal of Differential Equations, v. 259, n. 3, p. 964-988, AUG 5 2015. (10/12250-3, 12/16709-6)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

JIMENEZ, Manuel Francisco Zuloeta. Recursive properties in impulsive semidynamical systems. 2013. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.