Emergence of Strange Attractors from Singularities

Author:

Rodríguez José Angel

Publisher

Pleiades Publishing Ltd

Subject

Mechanical Engineering,Applied Mathematics,Mathematical Physics,Modeling and Simulation,Statistical and Nonlinear Physics,Mathematics (miscellaneous)

Reference56 articles.

1. Shilnikov, L. P., A Case of the Existence of a Denumerable Set of Periodic Motions, Soviet Math. Dokl., 1965, vol. 6, pp. 163–166; see also: Dokl. Akad. Nauk SSSR, 1965, vol. 160, pp. 558-561.

2. Tresser, C., Modèles simples de transitions vers la turbulence, PhD Dissertation, Université de Nice Sophia-Antipolis, Nice, France, 1981, 313 pp.

3. Mel’nikov, V. K., On the Stability of a Center for Time-Periodic Perturbations, Trans. Moscow Math. Soc., 1963, vol. 12, pp. 1–57; see also: Tr. Mosk. Mat. Obs., 1963, vol. 12, pp. 3-52.

4. Bogdanov, R. I., Versal Deformations of a Singular Point of a Vector Field on the Plane in the Case of Zero Eigenvalues, Funct. Anal. Appl., 1975, vol. 9, no. 2, pp. 144–145; see also: Funktsional. Anal. i Prilozhen., 1975, vol. 9, no. 2, pp. 63.

5. Takens, F., Singularities of Vector Fields, Publ. Math. Inst. Hautes Études Sci., 1974, no. 43, pp. 47–100.

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