Nonlinear Dynamical Systems,Synchronization,Mappings,Differential Equations and Applications.

• Grant number: 18/05218-8
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2018
• End date: May 31, 2020
• 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

In this research project I intend do work with my collaborators and students in subjects of Nonlinear Dynamical Systems, namely, Linearization in Infinite Dimensions, Synchronization, Wavelets, Bifurcation of Periodic Solutions and Homoclinics and Stabilization of Unstable Systems in Infinite Dimensions. (AU)

Scientific publications

(6)

(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)

RODRIGUES, H. M.; CARABALLO, T.; NAKASSIMA, G. K.. Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces. Journal of Dynamics and Differential Equations, JUN 2020. (18/05218-8)

RODRIGUES, H. M.; CARABALLO, T.; NAKASSIMA, G. K.. Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces. Journal of Dynamics and Differential Equations, v. 34, n. 4, p. 25-pg., 2020-06-05. (18/05218-8)

RODRIGUES, HILDEBRANDO M.; SOLA-MORALES, J.. An example on Lyapunov stability and linearization. Journal of Differential Equations, v. 269, n. 2, p. 1349-1359, JUL 5 2020. (18/05218-8)

RODRIGUES, HILDEBRANDO M.; SOLA-MORALES, J.. A New Example on Lyapunov Stability. Journal of Dynamics and Differential Equations, MAR 2021. (18/05218-8)

RODRIGUES, HILDEBRANDO M.; SOLA-MORALES, J.; NAKASSIMA, G. K.. STABILITY PROBLEMS IN NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, n. 6, p. 3189-3207, JUN 2020. (18/05218-8)

RODRIGUES, HILDEBRANDO M.; SOLA-MORALES, J.. A New Example on Lyapunov Stability. Journal of Dynamics and Differential Equations, v. N/A, p. 11-pg., 2021-03-01. (18/05218-8)