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
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)