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A shooting approach to the Lorenz equations
Author(s):
S.
P.
Hastings;
W.
C.
Troy
Journal:
Bull. Amer. Math. Soc.
27
(1992),
298-303.
MSC (1991):
Primary 58F15, 58F13
MathSciNet review:
1161275
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References |
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Additional information
References:
- [1]
- O. Aberth, Precise numerical analysis, William C. Brown Publishers, Dubuque, IA, 1988. MR
- [2]
- B. Hassard and J. Zhang. MR
- [3]
- S. Hastings and J. B. McLeod, On the periodic solutions of a forced second-order equation, Nonlinear Science \textbf{1} (1991), 225--245. MR 1118986
- [4]
- S. Hastings and J. B. McLeod, On the chaotic motion of a forced pendulum, Amer. Math. Monthly. MR
- [5]
- S. Hastings and W. Troy, Oscillating solutions of the Falkner-Skan equation for positive $\beta $, J. Differential Equations \textbf{71} (1988), 123--144. MR 922201
- [6]
- E. N. Lorenz, Deterministic non-periodic flow, J. Atmospheric Sci. \textbf{20} (1963), 130-141. MR
- [7]
- C. Sparrow, \emph{The Lorenz equations{\rm :} bifurcations, chaos, and strange attractors} vol.~41, Springer-Verlag, Berlin and New York, 1982. MR 681294
- [8]
- W. Troy, The existence of bounded solutions of the Kuramoto-Sivashinskii equations, J. Differential Equations \textbf{82} (1989), 269--313. MR 1027970
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00327-0
PII:
S 0273-0979(1992)00327-0
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