Salvador Addas Zanata
Address
Departamento de Matemática Aplicada
Instituto de Matemática e Estatística
Universidade de São Paulo
Rua do Matão, 1010
05508-090 - São Paulo - SP – Brasil
Tel: 55-11-30916234 Fax:
55-11-30916131
Office number: 294
e-mail: sazanata@ime.usp.br
Research Interests
· Topological Dynamics
· Twist Maps
· Hamiltonian Systems
· Bifurcation Theory
· Ergodic Theory
Aviso:
1)
Nao darei aulas de Eq. Dif. Ordinarias na Semana Santa. Boa semana !
Published Papers 1)
Zanata, S. and Ragazzo C. (2001) Critical number in scattering and escaping problems in
classical mechanics Physical Review E 64 2)
Zanata, S. (2001) Periodic and quasi-periodic orbits of a new
type for twist maps of the torus Anais da Academia
Brasileira de Ciencias 74(1), 25-31. 3)
Zanata, S. (2002) On the existence of a new type of periodic and
quasi-periodic orbits for twist maps of the torus Nonlinearity 15,
1399-1416 4)
Zanata, S. and Ragazzo C. (2002) On the stability of some periodic orbits of a new type for
twist maps Nonlinearity 15, 1385-1397 5)
Zanata, S. and
Ragazzo C. (2004) Conservative dynamics: Unstable
sets for saddle-center loops. Journal of
Differential Equations 197 (1), 118-146 6)
Zanata, S.
(2004) Instability for
the rotation set of homeomorphisms of the torus homotopic
to the identity. Ergodic Theory and Dynamical
Systems 24 (2), 319-328
7) Zanata, S. (2004) On properties of the vertical rotation interval for twist mappings II Qualitative theory of Dynamical systems 4, 125-137
8) Zanata, S. (2005) On properties of the vertical rotation interval for twist mappings Ergodic Theory and Dynamical Systems 25, 641–660
9) Zanata, S. (2004) A note on a standard family of twist maps Qualitative Theory of Dynamical Systems 5, 1–9.
10) Zanata, S. (2006) Stability for the vertical rotation interval of twist mappings Discrete Contin. Dyn. Syst. 14, 631–642.
11) Zanata, S. (2007) A simple computable criteria for the existence of horseshoes Discrete Contin. Dyn. Syst. 17, 365–370
12) Zanata, S. (2005) Some extensions of the Poincaré-Birkhoff theorem to the cylinder Nonlinearity 18, 2243–2260
13) Tal, Fábio Armando; Addas-Zanata, Salvador (2007) On periodic points of area preserving torus homeomorphisms. Far East J. Dyn. Syst. 9, no. 3, 371–378
14) Tal, Fábio Armando; Addas-Zanata, Salvador (2008) On maximizing measures of homeomorphisms on compact manifolds. Fund. Math. 200, 145–159
15) Tal, Fábio Armando; Addas-Zanata, Salvador (2008) Maximizing measures for endomorphisms of the circle. Nonlinearity 21, 2347–2359
16) Tal, Fábio Armando; Addas-Zanata, Salvador (2010) On generic rotationless diffeomorphisms of the annulus. Proc. Amer. Math. Soc. 138, 1023–1031
17) Tal, Fábio Armando; Addas-Zanata, Salvador (2010) Support of maximizing measures for typical C^0 dynamics on compact manifolds. Discrete Contin. Dyn. Syst. 26, no. 3, 795–804
Accepted Papers
18) Tal, Fábio Armando; Addas-Zanata, Salvador (2011) Homeomorphisms of the annulus with a transitive lift. a ser publicado em Math. Zeit.
19) Tal, Fábio Armando; Addas-Zanata, Salvador (2011) Boyland's Conjecture for rotationless homeomorphisms of the annulus with two fixed points. a ser publicado em Qual. Th. of Dyn. Sys.
20) Tal, Fábio Armando; Addas-Zanata, Salvador (2011) Homeomorphisms of the annulus with a transitive lift II. a ser publicado em Discrete and Cont. Dyn. Sys.
21) Gomes, Bernardo; Addas-Zanata, Salvador (2011) Horseshoes for a generalized Markus-Yamabe example. a ser publicado em Qual. Th. of Dyn. Sys.
Preprints
22) Addas-Zanata, S. Tal, F. Garcia, B. (2011) Dynamics of homeomorphisms of the torus homotopic to Dehn twists.
23) Addas-Zanata, S., Garcia, B. (2011) Invariant annulus for homeomorphisms of the torus homotopic to Dehn twists.
Book
1) Zanata S., Ragazzo C. e Carneiro M. Uma introdução às
aplicações do tipo twist
Personal Interests
· arm wrestling
· weight lifting
· music (Blues)
· american muscle cars