The Multidimensional Lorenz Attractor is a Homoclinic Class

Author:

Bautista S.,Rojas J. D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference15 articles.

1. Araujo, V., Pacifico, M.J.: Three-Dimensional Flows. Springer, Berlin (2010)

2. Bautista, S.: The geometric Lorenz attractor is a homoclinic class. Bol. Math. XI(1), 69–78 (2004)

3. Bonatti, C., Diaz, L., Viana, M.: Dynamics Beyond Uniform Hyperbolicity. A Global Geometric and Probabilistic Perspective, Encyclopaedia of Mathematical Sciences, 102. Mathematical Physics, III. Springer, Berlin (2005)

4. Bonatti, C., Pumarinho, A., Viana, M.: Lorenz attractors with arbitrary expanding dimension. C. R. Acad. Sci. Paris Sér. I Math 325(8), 883–888 (1997)

5. Guckenheimer, J., Williams, R.F.: Structural stability of Lorenz attractors. Inst. Hautes Études Sci. Publ. Math. 50, 59–72 (1979)

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