Morse-Smale theory adapted to the study of non-autonomous systems

• Grant number: 15/21049-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 14, 2016
• End date: March 13, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Clodoaldo Grotta Ragazzo
• Grantee: Clodoaldo Grotta Ragazzo
• Visiting researcher: Carlos Rocha
• Visiting researcher institution: Instituto Superior Técnico (IST), Portugal
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

The main topics to be pursued consist in the application of dynamical systems techniques to models described by continuous autonomous and non-autonomous ordinary and partial differential equations.A special topic that is currently under study is the development of a Morse-Smale theory adapted to the study of non-autonomous systems described by ordinary differential equations and, ultimately, by partial differential and delay differential equations. (AU)

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)

CZAJA, RADOSLAW; OLIVA, WALDYR M.; ROCHA, CARLOS. ON A DEFINITION OF MORSE-SMALE EVOLUTION PROCESSES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 37, n. 7, p. 3601-3623, JUL 2017. (15/21049-3)