Slow passage through multiple parametric resonance tongues

JVC/Journal of Vibration and Control

Volumn 15, Issue 10, 2009, Pages 1581-1600

  Bridge, Jacqueline ^a   Rand, Richard ^b   Sah, Si Mohamed ^c  

^a UNIVERSITY OF THE WEST INDIES   (Trinidad and Tobago)

^b Department of Obstetrics Gynecology   (United States)

^c HASSAN II UNIVERSITY   (Morocco)

Author keywords

Amplification; Multiple resonances; Parametric excitation; Slow passage

Indexed keywords

FORCING AMPLITUDES; INITIAL CONDITIONS; MULTIPLE RESONANCES; PARAMETRIC EXCITATION; PARAMETRIC RESONANCE; PARAMETRICALLY EXCITED SYSTEMS; SLOW PASSAGE;

RESONANCE;

AMPLIFICATION;

EID: 70349466404     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546309103263     Document Type: Article

References (6)

1. Bender, C.M. and Orszag, S.A., 1978, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York.
2. Cole, J.D., 1968, Perturbation Methods in Applied Mathematics, Blaisdell, Waltham, MA.
3. Nayfeh, A.H. and Mook, D.T., 1979, Nonlinear Oscillations, Wiley, New York.
4. Ng, L., Rand, R., and O'Neil, M., 2003, "Slow passage through resonance in Mathieu?s equation," Journal of Vibration and Control 9, 685-707.
5. Rand, R.H., 2004, Lecture Notes on Nonlinear Vibrations, published on-line by The Internet- First University Press, http://dspace.library.cornell. edu/handle/1813/79.
6. Zounes, R.S. and Rand, R.H., 1998, " Transition Curves in the Quasiperiodic Mathieu Equation, " SIAM Journal of Applied Mathematics 58, 1094-1115.