Publicações
Ruas, M.A.S., Rieger, J.,Wik-Atique, R.G.
M-deformations
of A-simple germs from Rn to Rn+1
Proc. Camb. Math. Soc., 2008.
Nabarro, A.C., Ruas, M.A.S.
Vector fields in R2 with maximal
index
The Quarterly Journal of Mathematics, v. 58, p. 81-90, 2007.
Ruas, M.A.S., Hernandes, M.E., Hernandes, M.E.R.
Ae-codimension of
germs of analytic curves,
Manuscripta Math. 124 (2007) 237-246.
Romero-Fuster, M.C.,Ruas, M.A.S., Tari, F. ,
Asymptotic lines of
surfaces in R5,
A aparecer em Communications in Contemporary
Mathematics.
Ruas, M.A.S., Rieger, J., Wik-Atique, R.G.
Real deformations
and invariants of map-germs
A aparecer em Banach Center
Publications.
M. A S.Ruas and J. Tomazella
An infinitesimal
criterion for topological triviality of families of sections of analytic
varieties
Proceedings of 12th MSJ-IRI Symposium "Singularity theory and its
applications" , Advanced Studies in Pure Mathematics, 43 (2006) 421-436.
L. Birbrair, J. C. F. Costa, A C. G.
Fernandes and M. A. S. Ruas
Bi-Lipschitz Equivalence of Real
Function-Germs
Proc. Am. Math. Society, 135 (2007), 1089-1095
I. S. Labouriau and M.A S. Ruas
Invariants for bifurcations
Houston Math. Journal, 32 (2006), 445-458.
R. N. Araújo dos Santos and M.A.S.
Ruas
Real Milnor fibration and (c)-regularity
Manuscripta Math, 117, (2005) 207-218.
Rieger, J. and Ruas, M.A.S.
M-deformations of A-simple
Sigma n-p+1-germs from Rn to Rp, n>= p.
Math.
Proc.Cambridge Phil. Soc. V. 139, nº 2 , (2005) 333-349 .
T.Gaffney and M.A.S.Ruas (editors)
Real
and complex singularities. Proceedings of the 7th International Workshop held
at the Universidade de São Paulo, São Carlos, July 29--August 2,
2002, Contemporary Mathematics #354, (2004),American Mathematical Society,
Providence, RI.
M. A S. Ruas e C. G. Tamm Moreira
O lema de seleção da curva e o teorema de Morse-Sard.
Matemática Universitária, Sociedade Brasileira de Matemática, 2004.
Fernandes, A.C.G. and Ruas, M.A.S.,
Bilipschitz determinacy
of quasihomogeneous germs,
Glasgow Math. J., January,(46), 77-82, 2004.
Mochida, D., Romero-Fuster, M.C. and Ruas,
M.A.S.
Inflection points and non-singular embeddings of
surfaces in R5
Rocky Mountain Journal of Math. , Vol. 33, no.3, fall 2003.
Ruas, M.A.S., Seade, J. and Verjovsky, A.
On Real singularities which a Milnor
fibration".
Trends in Mathematics", Ed. M. Tibar and A. Libgober, 2002.
Mancini, S., Ruas, M.A.S. and Teixeira,
M.A.
On divergent diagrams of finite
codimension
Portugaliae Math., (59), n. 2, 2002
Garcia, R., Mochida, D.H., Romero-Fuster, M.C. and
Ruas, M.A.S.
Inflection points and topology of
surfaces in 4-space
Transactions of the Am. Math. Soc., 352
(2000), NO. 7, 3029-3043.
Mochida, D.H., Romero-Fuster, M.C. and Ruas,
M.A.S.
``Osculating hyperplanes and asymptotic
directions of codimension two submanifolds of euclidean
spaces"
Geom. Dedicata, Vol. 77, 305-315,
(1999).
Ruas, M.A.S.(Ed.)
Workshop on Real and Complex
Singularities, Sociedade Brasileira de Matemática, série
Revista Matemática
Contemporânea, Vol.12 , (1997).
Ruas, M.A.S. and Saia, M.J.
``C^l-Determinacy of weighted
homogeneous germs".
Hokkaido Journal of Mathematics,Vol. 26,
89-99 (1997) .
Ruas, M.A.S. and Laboriau, I.
``Singularities of Hodgkin-Huxley
equations".
Dynamical and Stability of Systems, Vol.
11, No. 2, (1996)91-108.
Ruas, M.A.S. and Saia, M.J.
`` The Polyhedron of equisingularity of
germs of hypersurfaces".
Real and Complex Singularities, Pitman
Research Notes in Mathematics, no. 333, 37-48,(1995).
Mochida, D.H., Romero-Fuster, M.C. and Ruas,
M.A.S.
``The Geometry of surfaces in 4-space
from a contact viewpoint".
Geometriae Dedicata, Vol. 54, 323-332,
(1995).
Ruas, M.A.S. and Romero-Fuster, M.C.
``Some stability questions concerning
caustics for different propagation laws".
Portugalia Mathematica, Vol. 55,
595-605, (1994).
Ruas, M.A.S.
``On the equisingularity of families of
corank 1 generic germs".
Differential Topology, Foliations and
Group Action. Contemporary Mathematics, Vol.161, 113-121, (1994).
Ruas, M.A.S.(Ed.)
Workshop on Real and Complex
Singularities, Sociedade Brasileira de Matemática, série
Revista Matemática
Contemporânea, Vol. 5, 1993.
Mancini, S., Romero-Fuster, M.C. and Ruas,
M.A.S.
``Stability and genericity of
composition of maps".
Matemática Contemporânea, Vol. 5,
29-51, (1993).
Ruas, M.A.S. and Mancini, S.
``Bifurcations of generic one-parameter
families of functions on foliated manifolds".
Mathematica Scandinavica 72(1993)5-19.
Bruce. J.W., Saia, M.J. and Ruas, M.A.S.
``A note on determinacy".
Proceedings of American Mathematical
Society Vol. 115, no. 3, (1992):865-71.
Rieger, J.H. and Ruas, M.A.S.
``Classification of A-simple germs from
k^n to k^2".
Compositio Mathematica 79(1991):99-108.
Mendes, C.M. and Ruas, M.A.S.
``Hyperbolic motions of conics".
American Mathematical Monthly, Vol. 94,
no. 9, Novembro de 1987, (825-845).
Ruas, M.A.S.
``On the degree of
C^l-determinacy".
Mathematica Scandinavica,
59(1986):59-70.
Ruas. M.A.S.
``C^l-Determinação Finita e Campos
Holomorfos de Morse".
Anais da Academia Brasileira de
Ciências, 57(3), 1985.