A note on the differential equations of Gleick-Lorenz
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- by Morris W. Hirsch PDF
- Proc. Amer. Math. Soc. 105 (1989), 961-962 Request permission
Abstract:
It is shown that for the Gleick-Lorenz equations, every solution in the positive octant blows up.References
- W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Company, Boston, Mass., 1965. MR 0190463 C. Deno, University of California at Berkeley, unpublished.
- James Gleick, Chaos, Penguin Books, New York, 1987. Making a new science. MR 1010647
- E. Kamke, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II, Acta Math. 58 (1932), no. 1, 57–85 (German). MR 1555344, DOI 10.1007/BF02547774 E. N. Lorenz, Determinisitc chaotic flow, J. Atmos. Sci. 20 (1963), 130-141. M. Müller, Über das Fundamentaltheorem in der théorie der gewöhnlichen differentialgleichungen, Math. Z. 26 (1926), 619-645.
- James F. Selgrade, Asymptotic behavior of solutions to single loop positive feedback systems, J. Differential Equations 38 (1980), no. 1, 80–103. MR 592869, DOI 10.1016/0022-0396(80)90026-1
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 961-962
- MSC: Primary 58F13; Secondary 34C11
- DOI: https://doi.org/10.1090/S0002-9939-1989-0955996-1
- MathSciNet review: 955996