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:   55-11-30916148     Fax:  55-11-30916131

Office number: 270

e-mail: sazanata@ime.usp.br
 


Research Interests

 

·  Topological Dynamics

·  Twist Maps

·  Hamiltonian Systems

·  Bifurcation Theory

·  Ergodic Theory

 


 

      EP IAG

 

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


 

 

Accepted Papers

 

7) Zanata, S. (2004) On properties of the vertical rotation interval for twist mappings II To be published in Qualitative theory of Dynamical systems

 

8) Zanata, S. (2004) On properties of the vertical rotation interval for twist mappings To be published in Ergodic Theory and Dynamical Systems

 

9) Zanata, S. (2004) A note on a standard family of twist maps To be published in Qualitative Theory of Dynamical Systems


 

 

Preprints

 

 

10) Zanata, S. (2002) Elliptic islands, infinitely many sinks and Henon-like attractors for a dissipative family of twist maps of the torus. In preparation

 

11) Zanata, S. (2003) Stability for the vertical rotation interval of twist mappings

 

12) Zanata, S. (2004) A simple computable criteria for the existence of horseshoes

 

13) Zanata, S. (2004) Some extensions of the Poincaré-Birkhoff theorem to the cylinder

 


 

 

Book

 

 

1) Zanata S., Ragazzo C. e Carneiro M. Uma introdução às aplicações do tipo twist

 

 

 

 


 

 

Personal Interests

 

·  Arm wrestling

·  Weight lifting

·  music (Blues)

·  “elementary” mathematics (Olympiad problems)