Advanced search
Start date
Betweenand

Parabolic phenomena in complex dynamics

Grant number: 13/20480-7
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): May 01, 2014
Effective date (End): April 12, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:André Salles de Carvalho
Grantee:Luciana Luna Anna Lomonaco
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 project I propose concerns various aspects of the theory of parabolic bifurcation in both one and several complex variables.In particular, in one variable, the project concerns an extension of the theory of parabolic-like maps(with a the generalization of the theory to degree d parabolic-like mappings andthe unification of the polynomial-like and parabolic-like theories), and the study of several applications of such a theory.Moreover, I would like to study the parabolic phenomena in several complex variables, with particular interest in the Hénon family.

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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)
LOMONACO, LUNA; PETERSEN, CARSTEN LUNDE. On quasi-conformal (in-) compatibility of satellite copies of the Mandelbrot set: I. INVENTIONES MATHEMATICAE, v. 210, n. 2, p. 615-644, . (13/20480-7)
LOMONACO, LUNA; PETERSEN, CARSTEN LUNDE; SHEN, WEIXIAO. ON PARABOLIC EXTERNAL MAPS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 37, n. 10, p. 5085-5104, . (13/20480-7)

Please report errors in scientific publications list using this form.