Unfoldings of Reversible Vector Fields with SO(2)-Symmetry and Non-Semisimple Eigenvalue Zero of Multiplicity Four

Doklady Mathematics

Volumn 60, Issue 3, 1999, Pages 332-336

  Afendikov, A L ^a   Mielke, A ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007211919     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Afendikov, A.L. and Mielke, A., Dynamics, Bifurcation and Symmetry, Chossat, P., Ed., ASI Series C, Dorttecht: Kluwer, 1994, vol. 437, pp. 1-10.
2. Afendikov, A.L. and Mielke, A., Arch. Rat. Mech. Anal., 1995, vol. 129, pp. 101-127.
3. Afendikov, A.L. and Mielke, A., Bifurcation of Homoclinic Orbits to a Saddle-Focus in Reversible Systems with SO(2)-Symmetry, J. Differ. Equations, 1999, vol. 159, pp. 1-33.
4. Afendikov, A.L. and Mielke, A., Multi-Pulse Solutions to the Navier-Stokes Problem between Parallel Plates, Preprint of Univ. Hannover, Hannover, 1998, no. DANSE 58/1998.
5. Arnold, V.I., Geometrical Methods in the Theory of Ordinary Differential Equations, New York: Springer, 1983.
6. Brjuno, A.D., Izv Akad. Nauk Ukrain. SSR, Math. Ser., 1965, vol. 29, pp. 329-364.
7. Brjuno, A.D., Stepennaya geometriya v algebraicheskikh i differentsial'nykh uravneniyakh (Power Geometry in Algebraic and Differential Equations), Moscow: Nauka, 1998.
8. Hocking, L.M. and Stewartson, K., Proc. R. Soc. London, 1972, vol. A326, pp. 289-313.
9. Iooss, G. and Mielke, A., J. Nonlinear Science, 1991, vol. 1, pp. 106-146.
10. Iooss, G. and Mielke, A., Z. Angew. Math. Phys., 1992, vol. 43, pp. 125-138.
11. Mielke, A., Physica D, 1998, vol. 117, pp. 106-116.