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Asymptotic directions for solutions of Lienard systems. (English) Zbl 0516.34033


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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[1] Aggarwal, J. K.; Richie, C. G., On coupled van der Pol oscillators, IEEE Trans. Circuit Theory, CT-13, 465-466 (1966)
[2] Benson, D. C., Oscillation of solutions of a generalized Liénard equation, PAMS, 33, 101-106 (1972) · Zbl 0215.14901
[3] Burton, T. A.; Townsend, C. G., On the generalized Liénard equation with forcing function, J. diff. Eqns, 4, 620-633 (1968) · Zbl 0174.13602
[4] Bushaw, D. W., The differential equation \(ẍ+g(x,x)+h(x)=e(t)\), (Terminal Report on Contract AF 29(600)-1003 (1958), Holloman Air Force Base: Holloman Air Force Base New Mexico)
[5] De Figueiredo, R. J.P.; Chang, C.-Y., On the boundedness of solutions of classes of multidimensional nonlinear autonomous systems, SIAM J. appl. Math., 17, 672-680 (1969) · Zbl 0212.43302
[6] Goldstein, H., Classical mechanics (1950), Addison-Wesley: Addison-Wesley Cambridge, Mass
[7] Graef, J. R., On the generalized Liénard equation with negative damping, J. diff. Eqns, 12, 34-62 (1972) · Zbl 0254.34038
[8] Swanson, C. A., Comparison and oscillation theory of linear differential equations (1968), Academic Press: Academic Press New York · Zbl 0191.09904
[9] Whittaker, E. T., A treatise on the analytical dynamics of particles and rigid bodies (1937), Cambridge University Press: Cambridge University Press Cambridge, (Dover Publications, New York, 1944.) · Zbl 0061.41806
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