Nonlinear Mathieu equation and coupled resonance mechanism

Chaos, solitons and fractals

Volumn 12, Issue 4, 2001, Pages 705-720

  El Dib, Yusry O ^a  

^a Ain Shams University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; NONLINEAR OPTICS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RESONANCE;

COUPLED RESONANCE MECHANISMS; LANDAU EQUATIONS; NONLINEAR MATHIEU EQUATIONS;

SOLITONS;

EID: 0035151948     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00011-4     Document Type: Article

References (28)

1. Nayfeh A.H. Perturbation methods. 1973;Wiley, New York.
2. Nayfeh A.H., Mook D.T. Nonlinear oscillations. 1979;Wiley, New York.
3. Norris J.W. Int J Bifurc Chaos. 4:1994;71.
4. Mahmoud G.M. Internat Nonlinear Mech. 32:1997;1177.
5. Benjamin T.B., Ursell F. Proc Roy Soc London. A225:1954;505.
6. Kelly R.E. J Fluid Mech. 22:1965;547.
7. Lyell M.J., Michael R. AIAA J. 29:1991;1894.
8. Mohamed A.A., Elshehawey E.F., El-Dib Y.O. Il Nuovo Cimento. 8:1986;177.
9. El-Dib Y.O., Moatimid G.M. Phys A. 205:1994;511.
10. Moatimid G.M., El-Dib Y.O. Internat J Eng Sci. 32:1994;1183.
11. El-Dib Y.O. Fluid Dyn Res. 18:1996;17.
12. El-Dib Y.O. J Phys A. 30:1997;3585.
13. Moatimid G.M., El-Dib Y.O. Internat J Theor Phys. 35:1996;231.
14. Kambe T., Umeki M. J Fluid Mech. 212:1990;373.
15. El-Dib Y.O. J Plasma Phys. 49:1993;317.
16. El-Dib Y.O. Can J Phys. 72:1994;578.
17. El-Dib Y.O. Fluid Dyn Res. 15:1995;385.
18. El-Dib Y.O. IMA J Appl Math. 55:1995;97.
19. Yano S., Kotera T., Hiramatsu T. Bull JSME. 29:1986;3484.
20. Mohamed A.A., Elshehawey E.F., El-Dib Y.O. J Colloid and Intface Sci. 207:1998;54.
21. Palm E. J Fluid Mech. 8:1960;183.
22. Stuart J.T. J Fluid Mech. 9:1960;353.
23. Watson J. J Fluid Mech. 9:1960;371.
24. Drazin P.G. Hydrodynamic stability. 1981;Cambridge University Press, Cambridge.
25. El-Dib Y.O. ZAMP. 48:1997;60.
26. Mclachlan N.W. Theory and application of Mathieu functions. 1947;Oxford University Press, Oxford.
27. Magnus W., Winkler S. Hill's equation. 1966;Wiley, New York.
28. El-Dib Y.O. J Plasma Phys. 55:1996;219.