Normal form theory for reversible equivariant vector fields (2016)
- Authors:
- Autor USP: MANOEL, MIRIAM GARCIA - ICMC
- Unidade: ICMC
- DOI: 10.1007/s00574-016-0197-z
- Subjects: SINGULARIDADES; TEORIA DA BIFURCAÇÃO; ANÉIS E ÁLGEBRAS COMUTATIVOS
- Keywords: normal form; reversibility; symmetry; homological operator
- Language: Inglês
- Imprenta:
- Publisher: Springer
- Publisher place: Heidelberg
- Date published: 2016
- Source:
- Título do periódico: Bulletin of the Brazilian Mathematical Society
- ISSN: 1678-7544
- Volume/Número/Paginação/Ano: v. 47, n. 3, p. 935-954, Sept. 2016
- Este periódico é de assinatura
- Este artigo é de acesso aberto
- URL de acesso aberto
- Cor do Acesso Aberto: green
-
ABNT
BAPTISTELLI, P. H; MANOEL, Miriam Garcia; ZELI, Iris O. Normal form theory for reversible equivariant vector fields. Bulletin of the Brazilian Mathematical Society, Heidelberg, Springer, v. 47, n. 3, p. 935-954, 2016. Disponível em: < http://dx.doi.org/10.1007/s00574-016-0197-z > DOI: 10.1007/s00574-016-0197-z. -
APA
Baptistelli, P. H., Manoel, M. G., & Zeli, I. O. (2016). Normal form theory for reversible equivariant vector fields. Bulletin of the Brazilian Mathematical Society, 47( 3), 935-954. doi:10.1007/s00574-016-0197-z -
NLM
Baptistelli PH, Manoel MG, Zeli IO. Normal form theory for reversible equivariant vector fields [Internet]. Bulletin of the Brazilian Mathematical Society. 2016 ; 47( 3): 935-954.Available from: http://dx.doi.org/10.1007/s00574-016-0197-z -
Vancouver
Baptistelli PH, Manoel MG, Zeli IO. Normal form theory for reversible equivariant vector fields [Internet]. Bulletin of the Brazilian Mathematical Society. 2016 ; 47( 3): 935-954.Available from: http://dx.doi.org/10.1007/s00574-016-0197-z - Recognition of symmetries in reversible maps
- A mathematical model for the spectrum of a two-dimensional Schrödinger equation with magnetic field under Dirichlet boundary conditions
- Normal forms of bireversible vector fields
- Real and complex singularities
- Simetrias e simetrias relativas em singularidades e sistemas dinâmicos
- The 'sigma'-isotypic decomposition and the 'sigma'-index of reversible-equivariant systems
- Gradient systems on coupled cell networks
- The classification of reversible-equivariant steady-state bifurcations on self-dual spaces
- 'D IND.N'-simetria em bifurcacao de pontos estacionarios
- Invariant theory for the Lorentz group on the Minkowski space
Informações sobre o DOI: 10.1007/s00574-016-0197-z (Fonte: oaDOI API)
How to cite
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
Referências citadas na obra
| F. Antoneli, P.H. Baptistelli, A.P.S. Dias and M.G. Manoel. Invariant theory and reversible equivariant vector fields. Journal of Pure and Applied Algebra, 213 (2009), 649–663. |
|---|
| V.I. Arnold. Critical points of smooth functions and their normal forms. Russ. Math. Surv., 30(5) (1975), 1–75. |
| P.H. Baptistelli and M.G. Manoel. The σ-isotypic decomposition and the s-index of reversible equivariant systems. Topology and its Applications, 159 (2011), 389–396. |
| P.H. Baptistelli and M.G. Manoel. Invariants and relative invariants under compact Lie groups. Journal of Pure and Applied Algebra, 217 (2013), 2213–2220. |
| G.D. Birkhoff. Dynamical Systems. A.M.S. Coll. Publication IX, New York (1927). |
| G.R. Belitskii. C∞-normal forms of local vector fields. Symmetry and perturbation theory. Acta Appl. Math., 70 (2002), 23–41. |
| T. Bröcker and T. Dieck. Representations of compact Lie groups. Graduate Texts inMathematics 98, Springer-Verlag, Berlin-Heidelberg, New York (1995). |
| C.A. Buzzi, L.A. Roberto and M.A. Teixeira. Branching of periodic orbits in reversibleHamiltonian systems. Real and complex singularities, London Math. Soc. Lecture Note Ser., 380 Cambridge Univ. Press, Cambridge, 4670, (2010). |
| S.N. Chow, C. Li and D. Wang. Normal forms and bifurcation of planar vector fields. Cambridge University-Press (1994). |
| H. Dulac. Solution d’un système d’équations différentielles dans le voisinage de valeurs singulières Bull. Soc. Math. Fr., 40 (1912), 324–383. |
| C. Elphick, E. Tirapegui, M.E. Brachet, P. Coullet and G. Iooss. A simple global characterization for normal forms of singular vector fields. Physica 29D (1987), 95–127. |
| M. Golubitsky, I. Stewart and D. Schaeffer. Singularities and Groups in Bifurcation Theory, Vol. II, Appl. Math. Sci., 69, Springer-Verlag, New York (1985). |
| J.S.W. Lamb and I. Melbourne. Normal form theory for relative equilibria and relative periodic solutions. Trans. Amer. Math. Soc., 359(9) (2007), 4537–4556. |
| M.F.S. Lima and M.A. Teixeira. Families of periodic orbits in resonant reversible systems. Bull. Braz. Math. Soc., New Series 40(4) (2009), 511–537. |
| M. Manoel and I.O. Zeli. Normal forms of vector fields that anti-commute with a pair of involutions. In preparation (2014). |
| R.M. Martins and M.A. Teixeira. Reversible equivariant systems and matricial equations, An. Acad. Bras. Ciênc., 83(2) (2011), 375–390. |
| A.C. Mereu and M.A. Teixeira. Reversibility and branching of periodic orbits. Discrete Contin. Dyn. Sys., 3 (2013), 1177–1199. |
| H. Poincaré. 1879. Thesis; also Oeuvres I, 59-129, Gauthier Villars, Paris, 1928. |
| F. Takens. Normal forms for certain singularities of vector fields. An. Inst. Fourier, 23(2) (1973), 163–195. |
