This is a preview of subscription content, log in via an institution to check access.
References
[BC1]Benedicks, M. &Carleson, L., On iterations of 1−ax2 on (−1, 1.).Ann. of Math., 122 (1985), 1–25.
[BC2]—, The dynamics of the Hénon Map.Ann. of Math., 133 (1991) 73–169.
[He]Hénon, M., A two dimensional mapping with a strange attractor.Comm. Math. Phys., 50 (1976), 69–77.
[Py]Plykin, R., On the geometry of hyperbolic attractors of smooth cascades.Russian Math. Surveys, 39 (1984), 85–131.
[PT1]Palis, J. &Takens, F., Hyperbolicity and the creation of homoclinic orbits.Ann. of Math., 125 (1987), 337–374.
[PT2]Palis, J. & Takens, F.,Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Fractal Dimensions and Infinitely Many Attractors. Cambridge University Press, 1990.
[Ru]Ruelle, D.,Elements of Differentiable Dynamics and Bifurcation Theory. Academic Press, 1989.
[RE]Ruelle, D. &Eckmann, J., Ergodic theory of chaos and strange attractors.Rev. Modern Phys., 57 (1985), 617–656.
[Sh]Shub, M.,Global Stability of Dynamical Systems. Springer-Verlag, 1987.
[Si]Singer, D., Stable orbits and bifurcations of maps of the interval.SIAM J. Appl. Math., 35 (1978), 260.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mora, L., Viana, M. Abundance of strange attractors. Acta Math. 171, 1–71 (1993). https://doi.org/10.1007/BF02392766
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02392766