On the nature of turbulence

Abraham, R., Marsden, J.: Foundations of mechanics. New York: Benjamin 1967. Bass, J.: Fonctions stationnaires. Fonctions de corrélation. Application à la représentation spatio-temporelle de la turbulence. Ann. Inst. Henri Poincaré. Section B5, 135–193 (1969). Brunovsky, P.: One-parameter families of diffeomorphisms. Symposium on Differential Equations and Dynamical Systems. Warwick 1968–69. Hirsch, M., Pugh, C. C., Shub, M.: Invariant manifolds. Bull. A.M.S.76, 1015–1019 (1970). —— —— -- Invariant manifolds. To appear. Hopf, E.: Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Ber. Math.-Phys. Kl. Sächs. Akad. Wiss. Leipzig94, 1–22 (1942). Kelley, A.: The stable, center-stable, center, center-unstable, and unstable manifolds. Published as Appendix C of R. Abraham and J. Robbin: Transversal mappings and flows. New York: Benjamin 1967. Landau, L. D., Lifshitz, E. M.: Fluid mechanics. Oxford: Pergamon 1959. Leray, J.: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math.63, 193–248 (1934). Moser, J.: Perturbation theory of quasiperiodic solutions of differential equations. Published in J. B. Keller and S. Antman: Bifurcation theory and nonlinear eigenvalue problems. New York: Benjamin 1969. Smale, S.: Differentiable dynamical systems. Bull. Am. Math. Soc.73, 747–817 (1967). Thom, R.: Stabilité structurelle et morphogénèse. New York: Benjamin 1967. Williams, R. F.: One-dimensional non-wandering sets. Topology6, 473–487 (1967). Berger, M.: A bifurcation theory for nonlinear elliptic partial differential equations and related systems. In: Bifurcation theory and nonlinear eigenvalue problems. New York: Benjamin 1969. Fife, P. C., Joseph, D. D.: Existence of convective solutions of the generalized Bénard problem which are analytic in their norm. Arch. Mech. Anal.33, 116–138 (1969). Krasnosel'skii, M.: Topological methods in the theory of nonlinear integral equations. New York: Pergamon 1964. Rabinowitz, P. H.: Existence and nonuniqueness of rectangular solutions of the Bénard problem. Arch. Rat. Mech. Anal.29, 32–57 (1968). Velte, W.: Stabilität und Verzweigung stationärer Lösungen der Navier-Stokesschen Gleichungen beim Taylorproblem. Arch. Rat. Mech. Anal.22, 1–14 (1966). Yudovich, V.: The bifurcation of a rotating flow of fluid. Dokl. Akad. Nauk SSSR169, 306–309 (1966).