Breakdown of symmetry in reversible systems

Author:

Lerman Lev M.,Turaev Dimitry

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference42 articles.

1. Afraimovich, V. S. and Vozovoi, L.P., Mechanism of the Generation of a Two-Dimensional Torus upon Loss of Stability of an Equilibrium State, Dokl. Akad. Nauk SSSR, 1988, vol. 302, pp. 823–826 [Sov. Phys. Dokl., 1988, vol. 33, pp. 720–723].

2. Afraimovich, V. S. and Shilnikov, L.P., Bifurcation of Codimension 1, Leading to the Appearance of a Countable Set of Tori, Dokl. Akad. Nauk SSSR, 1982, vol. 262, pp. 777–780 [Sov. Math. Dokl., 1982, vol. 25, pp. 101–105].

3. Borisov, A.V. and Mamaev, I. S., Strange Attractors in the Rattleback Dynamics, in Nonholonomic Dynamical Systems: Integrability, Chaos, Strange Attractors, A. V. Borisov, I. S. Mamaev (Eds.), Moscow-Izhevsk: R&C Dynamics, Institute of Computer Science, 2002, pp. 296–326 (Russian).

4. Bochner, S. and Montgomery, D., Locally Compact Groups of Differentiable Transformations, Ann. of Math. (2), 1946, vol. 47, no. 4, pp. 639–653.

5. Lecture Notes in Math.;Yu.N. Bibikov,1979

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