Rigorous numerics for symmetric homoclinic orbits in reversible dynamical systems
Kybernetika (2007)
- Volume: 43, Issue: 6, page 797-806
- ISSN: 0023-5954
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top- Chow S.-N., Deng, B., Fiedler B., 10.1007/BF01057418, J. Dyn. Differential Equations 2 (1990), 177–244 (1990) Zbl0703.34050MR1050642DOI10.1007/BF01057418
- Coddington E. A., Levinson L., Theory of Ordinary Differential Equations, McGraw-Hill, New York 1955 Zbl0064.33002MR0069338
- Coppel W. A., Dichotomies in Stability Theory, (Lecture Notes in Mathematics 629.), Springer-Verlag, Berlin 1978 Zbl0376.34001MR0481196
- Deng B., 10.1016/0022-0396(89)90100-9, J. Differential Equations 79 (1989), 189–231 (1989) MR1000687DOI10.1016/0022-0396(89)90100-9
- Guckenheimer J., Holmes P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer–Verlag, Berlin 1983 Zbl0515.34001MR0709768
- Hiraoka Y., in preparatio
- Iooss G., Pérouème M. C., 10.1006/jdeq.1993.1022, J. Differential Equations 102 (1993), 62–88 (1993) Zbl0792.34044MR1209977DOI10.1006/jdeq.1993.1022
- Kapitula T., 10.1137/S0036141097327963, SIAM J. Math. Anal. 30 (1999), 273–297 (1999) Zbl0921.34009MR1664760DOI10.1137/S0036141097327963
- Kokubu H., 10.1007/BF03167912, Japan J. Appl. Math. 5 (1988), 455–501 (1988) MR0965875DOI10.1007/BF03167912
- Kisaka M., Kokubu, H., Oka H., 10.1007/BF01053164, J. Dyn. Differential Equations 5 (1993), 305–357 (1993) Zbl0784.34038MR1223451DOI10.1007/BF01053164
- Lohner R. J., Einschliessung der Lösung gewonhnlicher Anfangs- and Randwertaufgaben und Anwendungen, Thesis, Universität Karlsruhe (TH) 1988
- Melnikov V. K., On the stability of center for time periodic perturbations, Trans. Moscow Math. Soc. 12 (1963) , 1–57 (1963) MR0156048
- Oishi S., Research Institute for Mathematical Sciences Kôkyûroku, 928 (1995), 14–1
- Vanderbauwhede A., Fiedler B., 10.1007/BF00946632, Z. Angew. Math. Phys. 43 (1992), 292–318 (1992) Zbl0762.34023MR1162729DOI10.1007/BF00946632
- Wilczak D., Zgliczyński P., 10.1007/s00220-002-0709-0, Comm. Math. Phys. 234 (2003), 37–75 Zbl1055.70005MR1961956DOI10.1007/s00220-002-0709-0
- Yamamoto N., 10.1137/S0036142996304498, SIAM J. Numer. Anal. 35 (1998), 2004–2013 (1998) Zbl0972.65084MR1639986DOI10.1137/S0036142996304498