Dynamics of transformations coupled with interval exchange transformations

• Grant number: 07/01045-7
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2007
• End date: February 28, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Kleyber Mota da Cunha
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We are going to study the dynamics and rigidity of piecewise smooth maps topologically conjugate with interval exchange transformations. Such transformations appear as Poincaré transformations of bidimensional flows. We will also study the generic behaviour in families of maps of this kind.

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)

CUNHA, KLEYBER; SMANIA, DANIEL. Renormalization for piecewise smooth homeomorphisms on the circle. ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE, v. 30, n. 3, p. 441-462, MAY-JUN 2013. (07/01045-7, 08/02841-4, 10/08654-1)

Academic Publications

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

CUNHA, Kleyber Mota da. Universality for smooth piecewise homeomorphism of the circle. 2011. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.