New approaches for the study of non-linear oscillators

Journal of Sound and Vibration

Volumn 211, Issue 5, 1998, Pages 843-875

  Iyengar, R N ^a   Roy, D ^b  

^a CSIR CENTRAL BUILDING RESEARCH INSTITUTE   (India)

^b Eng Mechanics Res India (P) Ltd   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000987662     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1429     Document Type: Article

References (9)

1. S. MARGOLIS, and W. VOGT 1973 IEEE Transactions on Automatic Control, AC -8, 104-111. Control engineering application of V. I. Zubov's construction procedure for Liapunov functions.
2. V. I. ZUBOV 1964 Methods of Liapunov and their Application. Groningen: Noordhoff.
3. E. J. DAVISON and E. M. KURAK 1971 Automatica 7, 627-636. A computational method for determining quadratic Liapunov functions for nonlinear systems.
4. A. VANNELLI and M. VIDYASAGAR 1985 Automatica 21, 69-80. Maximal Liapunov functions and domains of attraction for autonomous nonlinear systems.
5. H. T. DAVIS 1962 Introduction to Nonlinear Differential and Integral Equations. New York: Dover Publications Inc.
6. N. MINORSKY 1962 Nonlinear Oscillations. Princeton, NJ: Van Nostrand and Co.
7. D. R. J. CHILLINGWORTH 1976 Differential Topology with a View to Applications. London: Pitman.
8. J. HALE 1980 Ordinary Differential Equations. Berlin: Springer-Verlag.
9. R. N. IYENGAR and D. ROY 1998 Journal of Sound and Vibration, 211, 877-906. Extensions of the phase space linearization (PSL) technique for non-linear oscillators.