Dynamics of interval multimodal maps

• Grant number: 14/11434-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2014
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Pedro Antonio Santoro Salomão
• Grantee: Rebeca Caramêz Saraiva Santos
• 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

In this project, one-dimensional dynamics in the interval is studied. Families of polynomials with degree m and modality m-1 are complete since they contain all possible critical combinatorics. The aim is to develop a program, which determines a polynomial function realizing a given finite combinatorics of critical orbits.