Bifurcation in the Mathieu equation with three independent parameters
Authors:
A. Cañada and P. Martínez-Amores
Journal:
Quart. Appl. Math. 37 (1980), 431-441
MSC:
Primary 34B30; Secondary 34C25, 58F14
DOI:
https://doi.org/10.1090/qam/564734
MathSciNet review:
564734
Full-text PDF Free Access
References |
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Additional Information
- Shui Nee Chow, Jack K. Hale, and John Mallet-Paret, Applications of generic bifurcations. I, Arch. Rational Mech. Anal. 59 (1975), no. 2, 159–188. MR 390852, DOI https://doi.org/10.1007/BF00249688
- Jack K. Hale, Oscillations in nonlinear systems, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1963. MR 0150402
- Jack K. Hale, Ordinary differential equations, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1969. Pure and Applied Mathematics, Vol. XXI. MR 0419901
- L. A. Rubenfeld, The stability surfaces of a Hill’s equation with several small parameters, Trans. ASME Ser. E. J. Appl. Mech. 40 (1973), 1107–1109. MR 364790
- A. I. Markushevich, Theory of functions of a complex variable. Vol. II, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. Revised English edition translated and edited by Richard A. Silverman. MR 0181738
S. N. Chow, J. Hale, and J. Mallet-Paret, Applications of generic bifurcation, I, Arch. Rat. Mech. Anal. 59, 159–188 (1975)
J. Hale, Oscillations in nonlinear systems, McGraw-Hill, 1963
J. Hale, Ordinary differential equations, Interscience, 1969
L. Rubenfeld, The stability surfaces of a Hill’s equation with several small parameters, J. Appl. Mech. 40, 1107–1109 (1973)
A. Markushewich, Theory of functions of a complex variable, Vol. II, Prentice-Hall, 1965
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Article copyright:
© Copyright 1980
American Mathematical Society
