Nonlinear dynamical systems, sinchronization, maps, differential equations and applications

• Grant number: 20/12580-5
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2021
• End date: January 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Hildebrando Munhoz Rodrigues
• Grantee: Hildebrando Munhoz Rodrigues
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

To extend results of the Classic Theory of Nonlinear Oscillations by using wavelets. To study perturbation of equilibrium and to extend the Averaging Method t infinite dimensions. To study Lyapunov Stability for flows in infinite dimensions. To extend the Uniform Invariance Principle to infinite dimensions. Use synchronization and wavelets in Communication Systems. (AU)