The 1:±2 resonance

Author:

Cushman R. H.,Dullin H. R.,Hanßmann H.,Schmidt S.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference35 articles.

1. Sanders, J., Are Higher Resonances Really Interesting? Celestial Mech., 1978, vol. 16, no. 4, pp. 421–440.

2. Cushman, R. and Sanders, J., Invariant Theory and Normal Form of Hamiltonian Vectorfields with Nilpotent Linear Part. In: Langford, W.F., Atkinson, F.V., and Mingarelli, A.B., (Eds), Oscillation, Bifurcation and Chaos, vol. 8 of CMS Conference Proceedings, AMS, 1987, pp. 353–371.

3. Cotter, C., The 1:1 Semisimple Resonance, PhD thesis, University of California at Santa Cruz, 1986.

4. Broer, H.W., Chow, S.-N., Kim, Y., and Vegter, G. A Normally Elliptic Hamiltonian Bifurcation. Z. angew. Math. Phys., 1993, vol. 44, pp. 389–432.

5. van der Meer, J.C., The Hamiltonian Hopf Bifurcation, vol. 1160 of Lecture Notes in Mathematics, Springer-Verlag, 1985.

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