| 43/1998 |
Normal Forms for Reversible (1:1) Resonance Vector Fields and Applications Marco A. Teixeira, Jiazhong Yang Marco Antonio Teixeira and Jiazhong Yang, Normal forms for reversible (1:1) resonance vector fields and applicationsThis article is devoted to studying 4-dimensional reversible vector fields having (1:1) resonance at an equilibrium. By giving an efficient normal form we are able to describe all invariant sets and to establish a relationship between them and certain parameters reflected in the normal form. As a result, we can study the local dynamics around the equilibrium point for the most vector fields in our class. Important conclusions concerning the existence of invariant tori and periodic orbits are obtained. Moreover, we give an analogue of the Lyapunov-Devaney theorem in the (1:1) reversible case, which can be treated as a limit case where two pairs of non-resonant purely imaginary eigenvalues tend to accumulate.  rp-1998-43.pdf |
| 42/1998 |
Stationary Solutions for Generalized Boussinesq Models in Exterior Domains Marko A. Rojas-Medar, Eduardo A. Notte-Cuello  rp-1998-42.gif, rp-1998-42.pdf |
| 41/1998 |
Incomplete decomposition algorithms for discrete dynamic nonlinear models N. Krejic, Véra L. R. Lopes, José Mario Martínez, R. Pérez rp-1998-41.gif, rp-1998-41.pdf |
| 40/1998 |
The Dirac-Hestenes Lagrangian Stefano De Leo, Zbigniew Oziewicz, Waldyr A. Rodrigues Jr., Jayme Vaz Jr. We discuss the variational principle within Quantum Mechanics in terms of the noncommutative even Space Time sub-Algebra, the Clifford $\Ra$-algebra $Cl_{1,3}^+$. A fundamental ingredient, in our multivectorial algebraic formulation, is the adoption of a $\D $-complex geometry, $\D \equiv \mbox{span}_{\RR} \{ 1,\gamma_{21} \}$, $\gamma_{21} \in Cl_{1,3}^+$. We derive the Lagrangian for the Dirac-Hestenes equation and show that such Lagrangian must be mapped on $\D \otimes {\cal F}$, where $\cal F$ denotes an $\Ra$-algebra of functions. rp-1998-40.gif, rp-1998-40.pdf |
| 39/1998 |
Métodos Estabilizados de Elementos Finitos Márcio Rodolfo Fernandes, Petrônio Pulino rp-1998-39.gif, rp-1998-39.pdf |
| 38/1998 |
Quasilinear Dirichlet problems in RN with critical growth Elves A. B. Silva, Sérgio H. M. Soares rp-1998-38.gif, rp-1998-38.pdf |
| 37/1998 |
Liouville-Gelfand type problems for the N-Laplacian on bounded domains of IRᶰ Elves A. B. Silva, Sérgio H. M. Soares rp-1998-37.gif, rp-1998-37.pdf |
| 36/1998 |
0 Waldyr A. Rodrigues Jr. rp-1998-36.gif |
| 35/1998 |
Hermitian structures on flag manifolds Xiaohuan Mo, Caio J. C. Negreiros rp-1998-35.gif, rp-1998-35.pdf |
| 34/1998 |
Fisher information and alpha-connections for a class of tranformational models Marco A. N. Fernandes, Luiz A. B. San Martin rp-1998-34.gif, rp-1998-34.pdf |
