A family of models with blue sky catastrophes of different classes

Author:

Kuptsov Pavel V.,Kuznetsov Sergey P.,Stankevich Nataliya V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference42 articles.

1. Palis, J. and Pugh, C.C., Fifty Problems in Dynamical Systems, in Dynamical Systems: Proc. Sympos. Appl. Topology and Dynamical Systems (Univ. Warwick, Coventry, 1973/1974): Presented to E. C. Zeeman on His Fiftieth Birthday, Lecture Notes in Math., vol. 468, Berlin: Springer, 1975, pp. 345–353.

2. Turaev, D.V. and Shil’nikov, L.P., Blue Sky Catastrophes, Dokl. Math., 1995, vol. 51, pp. 404–407; see also: Dokl. Akad. Nauk, 1995, vol. 342, no. 5, pp. 596–599.

3. Shil’nikov, L.P. and Turaev, D.V., Simple Bifurcations Leading to Hyperbolic Attractors: Computational Tools of Complex Systems: 1, Comput. Math. Appl., 1997, vol. 34, nos. 2–4, pp. 173–193.

4. Shilnikov, L.P. and Turaev, D.V., A New Simple Bifurcation of a Periodic Orbit of ¡¡Blue Sky Catastrophe¿¿ Type, in Methods of Qualitative Theory of Differential Equations and Related Topics, Amer. Math. Soc. Transl. Ser. 2, vol. 200, Providence,R.I.: AMS, 2000, pp. 165–188.

5. Gavrilov, N. and Shilnikov, A., Example of a Blue Sky Catastrophe, in Methods of Qualitative Theory of Differential Equations and Related Topics, Amer. Math. Soc. Transl. Ser. 2, vol. 200, Providence,R.I.: AMS, 2000, pp. 99–105.

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