Manuel Valentim de Pera Garcia

Associate Professor (MS-5)

Under construction



born Feb 1957

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
  4. Livre-Docente at Department of Applied Mathematics at University of São Paulo - 2010


Lines of Research


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


Courses (First Semester 2019)


  1. MAP 0151 - Cálculo Numérico e Aplicações
  2. MAP 0217 - Cálculo Diferencial


Courses (Second Semester 2019)


  1. MAP 0327 - Mecânica Analítica Clássica
  2. CCM 0113 - Matemática I - CCM


Courses (Summer 2019)


  1. APLICAÇÕES DE NÚMEROS COMPLEXOS À GEOMETRIA ANALÍTICA


Seminars (First Semester 2018)


Monday at 18:30 room 259-A k-decidibility

Tuesday at 16:00 room 259-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, v.10, n.1, pp. 1-10, 2011 DOI 10.1007/s12346-010-0029-2
    13. Kendal's Problem in a Sphere, with Frenkel, L.M., in Qualitative Theory of Dynamical Systems, vol. 10, n. 2, p.p. 333-341, 2011 DOI: 10.1007/s12346-011-0044-y
    14. A Partial Reciprocal of Dirichlet Lagrange Theorem Detected by Jets, with Alva Morales, G.J., in Qualitative Theory of Dynamical Systems, 2016 DOI: 10.1007/s12346-016-0196-x
    15. On Stability of Some Newton Systems, with Caetano, M.F., to appear in Qualitative Theory of Dynamical Systems, 2019

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


Current Address


    Instituto de Matemática e Estatística
    Rua do Matão 1010 - Cidade Universitária
    05508-090 Sao Paulo Brasil
    Phone: (+55)(11) 3091 6255
    e-mail: mane at ime.usp.br