The dynamics of perturbations of the contracting Lorenz attractor
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.
[G] Guckenheimer (1979),On sensitive dependence on initial conditions for one dimensional maps. Comm. in Math. Phys., 70.
[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.
[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.