메뉴 건너뛰기




Volumn 31, Issue 4, 2003, Pages 347-365

Approximate asymptotics for a nonlinear Mathieu equation using harmonic balance based averaging

Author keywords

Averaging; Harmonic balance; Nonlinear Mathieu equation; Paul traps

Indexed keywords

APPROXIMATION THEORY; MASS SPECTROMETERS; PERTURBATION TECHNIQUES;

EID: 0038341785     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023293901305     Document Type: Article
Times cited : (28)

References (20)
  • 5
    • 0038757232 scopus 로고    scopus 로고
    • Harmonic balance based averaging: Approximate realizations of an asymptotic technique
    • submitted
    • Chatterjee, A., 'Harmonic balance based averaging: Approximate realizations of an asymptotic technique', Nonlinear Dynamics, 2002, submitted.
    • (2002) Nonlinear Dynamics
    • Chatterjee, A.1
  • 6
  • 7
    • 36749114774 scopus 로고
    • Variational method and Mathieu equation
    • Hsieh, D. Y., 'Variational method and Mathieu equation', Journal of Mathematical Physics 19, 1978, 1147-1151.
    • (1978) Journal of Mathematical Physics , vol.19 , pp. 1147-1151
    • Hsieh, D.Y.1
  • 8
    • 36749114732 scopus 로고
    • On Mathieu equation with damping
    • Hsieh, D. Y., 'On Mathieu equation with damping', Journal of Mathematical Physics 21, 1980, 722-725.
    • (1980) Journal of Mathematical Physics , vol.21 , pp. 722-725
    • Hsieh, D.Y.1
  • 9
    • 0024281162 scopus 로고
    • The response of a single degree of freedom system with quadratic and cubic nonlinearities to a fundamental parametric resonance
    • Zavodney, L. D. and Nayfeh, A. H., 'The response of a single degree of freedom system with quadratic and cubic nonlinearities to a fundamental parametric resonance', Journal of Sound and Vibration 120, 1988, 63-93.
    • (1988) Journal of Sound and Vibration , vol.120 , pp. 63-93
    • Zavodney, L.D.1    Nayfeh, A.H.2
  • 12
    • 0035151948 scopus 로고    scopus 로고
    • Nonlinear Mathieu equation and coupled resonance mechanism
    • El-Dib, Y. O., 'Nonlinear Mathieu equation and coupled resonance mechanism', Chaos, Solitions and Fractals 12, 2001, 705-720.
    • (2001) Chaos, Solitions and Fractals , vol.12 , pp. 705-720
    • El-Dib, Y.O.1
  • 14
    • 0035952249 scopus 로고    scopus 로고
    • Effective potential and the ion axial beat motion near the boundary of the first stable region in a nonlinear ion trap
    • Sudakov, M., 'Effective potential and the ion axial beat motion near the boundary of the first stable region in a nonlinear ion trap', International Journal of Mass Spectrometry 206, 2001, 27-43.
    • (2001) International Journal of Mass Spectrometry , vol.206 , pp. 27-43
    • Sudakov, M.1
  • 16
    • 84990713552 scopus 로고
    • A phenomenological description of a black hole for collisionally induced decomposition products in ion trap mass spectrometry
    • Guidlgy, F. and Traldi, P., 'A phenomenological description of a black hole for collisionally induced decomposition products in ion trap mass spectrometry', Rapid Communications on Mass Spectrometry 5, 1991, 342-348.
    • (1991) Rapid Communications on Mass Spectrometry , vol.5 , pp. 342-348
    • Guidlgy, F.1    Traldi, P.2
  • 19
    • 0032140745 scopus 로고    scopus 로고
    • Transition curves for the quasi-periodic Matiueu equation
    • Zounes, R. S. and Rand, R. H., 'Transition curves for the quasi-periodic Matiueu equation', SIAM Journal of Applied Mathematics 58(4), 1998, 1094-1115.
    • (1998) SIAM Journal of Applied Mathematics , vol.58 , Issue.4 , pp. 1094-1115
    • Zounes, R.S.1    Rand, R.H.2
  • 20
    • 0032658320 scopus 로고    scopus 로고
    • Resonant capture and separatrix crossing in dual-spin spacecraft
    • Haberman, R., Rand, R., and Yuster, T., 'Resonant capture and separatrix crossing in dual-spin spacecraft', Nonlinear Dynamics 18, 1999, 159-184.
    • (1999) Nonlinear Dynamics , vol.18 , pp. 159-184
    • Haberman, R.1    Rand, R.2    Yuster, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.