Systems of quadratically coupled differential equations which can be reduced to linear systems
HTML articles powered by AMS MathViewer
References
-
1. E. R. Fisher and R. H. Kummler, Relaxation by vibration-vibration exchange processes, J. Chem. Phys. 49 (1968), 1075-1084.
- Narendra S. Goel, Samaresh C. Maitra, and Elliott W. Montroll, On the Volterra and other nonlinear models of interacting populations, Rev. Modern Phys. 43 (1971), 231–276. MR 0484546, DOI 10.1103/RevModPhys.43.231 3. E. W. Montroll, "Stochastic processes and Chemical Kinetics, " in Energetics in metallurgical phenomena. Vol. 3, Gordon and Breach, New York, 1967, pp. 125-187. 4. K. E. Shuler, Exactly solvable nonlinear relaxation processes. Systems of coupled harmonic oscillators, J. Chem. Phys. 45 (1966), 1105-1110.
- László Rédei, Algebra. I. Kötet, Akadémiai Kiadó, Budapest, 1954 (Hungarian). MR 0066341
- J. J. Levin, On the matrix Riccati equation, Proc. Amer. Math. Soc. 10 (1959), 519–524. MR 108628, DOI 10.1090/S0002-9939-1959-0108628-X
- Lawrence Markus, Quadratic differential equations and non-associative algebras, Contributions to the theory of nonlinear oscillations, Vol. V, Princeton Univ. Press, Princeton, N.J., 1960, pp. 185–213. MR 0132743
- J. J. Levin and S. S. Shatz, Riccati algebras, Duke Math. J. 30 (1963), 579–594. MR 159853, DOI 10.1215/S0012-7094-63-03063-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 483-487
- MSC (1970): Primary 34A05; Secondary 34A30, 15A24, 15A30
- DOI: https://doi.org/10.1090/S0002-9904-1973-13231-8
- MathSciNet review: 0322245