Keywords
- Steady State Solution
- Unstable Manifold
- Negative Real Part
- Positive Real Part
- Sensitive Dependence
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References
R. Bowen and D. Ruelle-The ergodic theory of Axiom A flows. Inventiones math. To appear.
R.P. Feynman, R.B. Leighton, and M. Sands-The Feynman lectures on physics. 2. Addison-Wesley, Reading, Mass., 1964.
J.P. Gollub and H. Swinney-Onset of turbulence in a rotating fluid. Preprint.
E. Hopf-A mathematical example displaying features of turbulence. Commun. Pure appl Math. 1, 303–322 (1948).
Kifer
L.D. Landau and E.M. Lifshitz-Fluid Mechanics. Pergamon, Oxford, 1959.
T.Y. Li and J. Yorke-Period three implies chaos. Preprint.
E.N. Lorenz-Deterministic nonperiodic flow. J. atmos. Sci. 20, 130–141 (1963).
J.B. Mc Laughlin and P.C. Martin-Transition to turbulence of a statically stressed fluid system. Phys. Rev. Lett. 33, 1189–1192 (1974)
J.B. Mc Laughlin and P.C. Martin-Transition to turbulence of a statically stressed fluid system. Phys. Rev. A. 12, 186–203 (1975).
D. Ruelle-A measure associated with Axiom A attractors. Amer. J. Math. To appear.
D. Ruelle and F. Takens-On the nature of turbulence. Commun. Math. Phys. 20, 167–192 (1971); 23, 343–344 (1971).
Ia. G. Sinai-Gibbs measures in ergodic theory. Russ. Math. Surveys 166, 21–69 (1972).
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© 1976 Springer-Verlag Berlin · Heidelberg
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Ruelle, D. (1976). The Lorenz attractor and the problem of turbulence. In: Temam, R. (eds) Turbulence and Navier Stokes Equations. Lecture Notes in Mathematics, vol 565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091453
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DOI: https://doi.org/10.1007/BFb0091453
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