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Dynamics of interval multimodal maps

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