Phase-space linearization for non-linear oscillators: Deterministic and stochastic systems

Journal of Sound and Vibration

Volumn 231, Issue 2, 2000, Pages 307-341

  Roy, D ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000047493     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2720     Document Type: Article

References (18)

1. R. N. IYENGAR and D. ROY 1998 Journal of Sound and Vibration 211, 843-875. New approaches for the study of nonlinear oscillators.
2. R. N. IYENGAR and D. ROY 1998 Journal of Sound and Vibration 211, 877-906. Extensions of the phase space linearization method.
3. R. N. IYENGAR and D. ROY 1999 Proceedings of IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics. Dordrecht: Kluwer Academic Press. Application of conditional linearization in the study of nonlinear systems.
4. E. SIMIU and M. R. FREY 1996 Journal of Engineering Mechanics 122, 263-270. Melinikov processes and noise-induced exits from well.
5. T. KAPITANIAK 1990 Chaos in Systems with Noise. Singapore: World Scientific.
6. T. KAPITANIAK 1991 International Journal of Bifurcation and Chaos 1, 357-363. The loss of chaos in a quasiperiodically forced nonlinear oscillator.
7. Y. K. LIN and G. Q. CAI 1995 Probabilistic Structural Dynamics: Advanced Theory and Applications. New York: McGraw-Hill.
8. P. E. KLOEDEN and E. PLATEN 1992 Numerical Solutions of Stochastic Differential Equations. Berlin: Springer-Verlag.
9. P. E. KLOEDEN, E. PLATEN and H. SCHURZ 1994 Numerical Solution of Stochastic Differential Equations Through Computer Experiments. Berlin: Springer-Verlag.
10. A. ASKAR, S. R. KOYLUOGLU, K. NIELSEN and A. S. CAKMAK 1996 Probabilistic Engineering Mechanics 11, 63-72. Faster simulation methods for nonstationary random vibrations of nonlinear m.d.o.f. systems.
11. A. NAESS and J. M. JOHNSON 1991 Proceedings of IUTAM Symposium on Nonlinear Stochastic Mechanics, pp. 401-414. Response statistics of nonlinear dynamic systems by path integration.
12. H. RISKEN 1989 The Fokker Planck Equation: Methods of Solution and Applications. Berlin: Springer.
13. D. R. J. CHILLINGWORTH 1976 Differential Topology with a View to Applications. London: Pitman.
14. J. HALE 1980 Ordinary Differential Equations. New York: Springer-Verlag.
15. C. GOFFMAN and G. PEDRICK 1965 First Course in Functional Analysis. Englewood Cliffs, NJ: Prentice-Hall.
16. N. C. NIGAM 1983 Introduction to Random Vibrations. Cambridge: MIT Press.
17. R. N. IYENGAR 1991 Physics Letters A 154, 357-360. Stochastic characterization of Chaos in nonlinear system.
18. J. B. ROBERTS and P. D. SPANOS 1990 Random Vibration and Statistical Linearization. Chichester: John Wiley & Sons.