The dynamics of perturbations of the contracting Lorenz attractor

A. Rovella1
1Fac. Ingeneria, IMERL, Montevideo, Uruguay

Tóm tắt

Từ khóa


Tài liệu tham khảo

[ACT] Arneodo, A., Coullet, P., Tresser, C. (1981),A. possible new mechanism for the onset of turbulence. Physics Letter, 81A/4.

[BC1] Benedicks, M., Carleson, L. (1985)On iterations of 1?ax 2 on (?1,1). Ann. Math., 122.

[BC2] Benedicks, M., Carleson, L. (1991),The dynamics of the Hénon map. Ann. Math., 133.

[G] Guckenheimer (1979),On sensitive dependence on initial conditions for one dimensional maps. Comm. in Math. Phys., 70.

[GW] Guckenheimer, Williams (1979),Structural stability of Lorenz attractors. Publ. Math. IHES, 50.

[HPS] Hirsch, Pugh, Schub (1977),Invariant manifold. Springer Lecture notes, 583.

[L] Lorenz (1963),Deterministic non-periodic flow. Journal of Atmosphere Sciences, 20.

[MV] Mora, L., Viana, M.,Abundance of strange attractors. To appear in Acta Mathematica.

[M1] Mañé, R. (1978),Persistent manifolds are normally hyperbolic. Trans. A.M.S., 246.

[M2] Mañé, R. (1985), (1987),Hyperbolicity, sinks and measure in one dimensional dynamics. Comm. in Math. Phys., 100 495?524 and Erratum-Comm. in Math. Phys., 112.

[R] Richlik, M. R. (1990),Lorenz attractor through Sil'nikov-type bifurcation. Part I. Erg. th. and Dyn. Syst., 10.

[S] Singer (1978),Stable orbits and bifurcations of maps of the internal. SIAM. J. Appl. Math., 35.