On the analytic integrability of the Liénard analytic differential systems

• Grant number: 13/00903-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 18, 2013
• End date: August 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Regilene Delazari dos Santos Oliveira
• Grantee: Regilene Delazari dos Santos Oliveira
• Visiting researcher: Claudia Valls Angles
• Visiting researcher institution: Universidade Técnica de Lisboa, Portugal
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Our objective is to characterize for the Liénard differential equations the existence or non-existence of local analytic first integrals in a neighborhood of the equilibrium point located at the origin, and the possible existence of global analytic first integrals. (AU)