Frequency locking in a forced mathieu-van der Pol system

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 1 B, Issue , 2005, Pages 1367-1373

  Pandey, Manoj ^a   Rand, Richard ^a   Zehnder, Alan ^a  

^a Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; FREQUENCY RESPONSE; HARMONIC ANALYSIS; HYSTERESIS; MICROELECTROMECHANICAL DEVICES;

BIFURCATION SOFTWARE PACKAGE AUTO; FREQUENCY LOCKING; MATHIEUVAN DER POL EQUATIONS; QUASIPERIODIC MOTIONS;

NONLINEAR EQUATIONS;

EID: 33244494693     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84018     Document Type: Conference Paper

References (6)

1. Doedel, E.J., Paffenroth, R.C., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Oldeman, B.E., Sandstede, B. and Wang, X., AUTO 2000; Continuation and Bifurcation Software for Ordinary Differential Equations, 2002, available on line at: http://sourceforge.net/project/showfiles.php?group_id= 21781
2. Nayfeh, A.H. and Mook, D.T. Nonlinear Oscillations. Wiley Interscience. NY. 1979.
3. Pandey, M., Entrainment in a Disk-Shaped MEMS Oscillator, Ph.D. thesis, Cornell University, Ithaca, NY, 2005.
4. Rand, R.H. Lecture Notes in Nonlinear Vibrations (version 45), Published on-line by The Internet-First University Press, Ithaca, NY, 2004: http://dspace.library.cornell.edu/handle/1813/79
5. Zalalutdinov, M., Aubin, K.L., Pandey, M., Zehnder, A.T., Rand, R.H., Craighead, H.G. and Parpia, J.M., Frequency Entrainment for Micromechanical Oscillator, Applied Physics Letters 83:3281-3283, 2003.
6. Zalalutdinov, M., Parpia, J.M., Aubin, K.L., Craighead, H.G., T.Alan, Zehnder, A.T. and Rand, R.H., Hopf Bifurcation in a Disk-Shaped NEMS, Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48516 (CD-ROM).