Manuel Valentim de Pera Garcia

Under construction

Academic Formation

1. Undergraduate Course in Applied Math at University of São Paulo- 1980
2. Graduate Course in Applied Math at University of São Paulo- Master degree in 1982
3. Doctor's Degree in Applied Math at University of São Paulo - 1988

Lines of Research

1. Liapunoff Stability
2. Vakonomic Mechanics
3. Flexible Manufacturing System
4. 3n+1 Collatz Problem
5. Finite Decidability

Courses (Second Semester 2010)

1. MAP 0327/ MAT 0441

Seminars (Second Semester 2010)

Wednesday at 19:20 room 241-A Stability

Publications

1. Papers
   1. A note on k-decidibility, in Atas do X CNMAC, Gramado, Brazil, 1987
   2. A version of Curve Selection Lemma for Real Analytic Sets, in Atas do 39o. Seminario Brasileiro de Analise, S. José dos Campos, Brazil, 1993
   3. A dynamics approch for linear corridor polices, with Humes Jr., C. and Brandão, L.O., in Discret Event Dynamical Systems Theory and Applications, vol. 5. pp. 59-82, 1995
   4. On the Optimal Design of Corridor Policies with separable average criteria, with Humes Jr., C. and Brandão, L.O., in Proceedings of 33rd. Allerton conference on communication, control and computing, 1995. pp. 510-518
   5. When a Cone Policy is Coherent, with Brandão, L.O., in 35th IEEE Conference on Decision and Control, 1996, Kobe.
   6. A note on the generalized 3n+1 problem. Acta Arithmetica, with Tal, F.A., in Acta Arithmetica, v.XC, n.3, pp. 245-250, 1999
   7. Generalized line criterion for Gauss Siedel method, with Humes Jr., C. and Stern, J.M., in Computational and Applied Mathematics, v.22, n.1, pp. 91-97, 2003
   8. Stability of equilibrium of conservative systems with two degrees of freedom, with Tal, F.A., in Journal of Differential Equations, v.194, n.2, pp. 364-381, 2003
   9. The Influence of the Kinetic Energy in Equilibrium of Hamiltonian Systems, with Tal, F.A., in Journal of Differential Equations, v.213, n.2, pp. 410-417, 2005
   10. Three theorems on gradient fields potentially useful in homing pigeon, with Possani, C., Raunvaud, R. and Tal, F., in Journal of Mathematical Biology, vol. 52, n.1, pp. 57-69, 2006
   11. Instability of Equilibrium Points of Some Lagrangian Systems, with Freire Jr. and Tal, F., in Journal of Differential Equations, v. 245, n.2, pp. 490-504, 2008
   12. Kinetic Energy and the Stable Set, with Bortolatto, R.B. and Tal, F., in Qualitative Theory of Dynamical Systems, DOI 10.1007/s12346-010-0029-2, 2010

2. Book
   1. Mecânica Analítica Clássica, with Barros, I.Q., Edgard Blucher Ltda. 1995.