C.8
Leitura Adicional
E.
N. Lorenz, "Deterministic Nonperiodic Flow," J. Atmos.
Sci. 20, 130-41 (1963). Reprinted in [Cvitanovic,
1984]. The Lorenz model first appeared in this pioneering and quite
readable paper.
B. Saltzman, "Finite Amplitude Free Convection as an Initial
Value Problem-I." J. Atmos. Sci. 19,
329-41 (1962). The Lorenz model was an outgrowth of an earlier model
of atmospheric convection introduced by Saltzman.
[Bergé, Pomeau, Vidal, 1984], Appendix D, contains a slightly different
development of the Lorenz model equations, and in addition, provides
more details on the how the dynamics evolve as the reduced Rayleigh
number r changes.
[Sparrow, 1983] gives a detailed treatment of the Lorenz model and
its behavior.
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover,
New York, 1984). Chapter 11. A wide-ranging discussion of the physics
and mathematics of Rayleigh-Benard convection along with many historical
references.
H. Haken, "Analogy between Higher Instabilities in Fluids and
Lasers," Phys. Lett. 53A, 77-78 (1975).
Certain laser systems are modeled by equations that are identical
in form to the Lorenz model equations.
R. Graham, "Onset of Self-Pulsing in Lasers and the Lorenz
Model," Phys. Lett. 58A, 440-41 (1976).
C. O. Weiss and J. Brock, "Evidence for Lorenz-Type Chaos in
a Laser," Phys. Rev. Lett. 57,
2804-6 (1986).
C. O. Weiss, N. B. Abraham, and U. Hübmer. "Homoclinic and
Heteroclinic Chaos in a Single-Mode Laser," Phys. Rev. Lett.
61, 1587-90 (1988).
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