Time-Reversible Hamiltonian Vector Fields with Symplectic Symmetries-Reference-Cited by-同舟云学术

Time-Reversible Hamiltonian Vector Fields with Symplectic Symmetries

Published:2004-04 Issue:2 Volume:16 Page:559-574
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:Journal of Dynamics and Differential Equations

Author:

Buzzi C.A.,Teixeira M.A.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10884-004-4291-3.pdf

Reference16 articles.

1. Abraham, R., and Marsden, J.E. (1978). Foundations of Mechanics, 2nd edn., Benjamin Cummings, Menlo Park, CA.

2. Arnold, V.I. (1972). Normal forms for functions near degenerate critical points, the Weyl groups ak, dk and ek, and Lagrangian singularities. Funct. Anal. Appl. 6, 3?25.

3. Broer, H.W., Chow, S.N., Kim, Y., and Vegter, G. (1993). A normally elliptic Hamiltonian bifurcation. Z. Angew. Math. Phys. 44, 389?432.

4. Buzzi, C.A. (2000). Generic one-parameter families of reversible vector fields, In Real and Complex Singularities (S�o Carlos, 1998), Chapman & Hal /CRC Res. Notes Math., Vol. 412, Chapman & Hal/CRC, Boca Raton, London, pp. 202?214.

5. Chow, S.N., and Kim, Y. (1988). Bifurcation of periodic orbits for non-positive definite Hamiltonian systems. Appl. Anal. 31, 163?199.

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