메뉴 건너뛰기




Volumn 39, Issue 4, 2005, Pages 335-348

Existence of periodic solutions for the generalized form of mathieu equation

Author keywords

Lindstedt Poincar 's technique; Mathieu equation; Periodic solution; Transition curve; Two dimensional perturbation

Indexed keywords

DIFFERENCE EQUATIONS; DYNAMICS; INTEGRATION; NUMERICAL METHODS; PERTURBATION TECHNIQUES; SURFACE WAVES;

EID: 15544389391     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-4338-y     Document Type: Article
Times cited : (55)

References (18)
  • 3
    • 0027912280 scopus 로고
    • Stability analysis of the non-linear Mathieu equation
    • Mond, M. and Cederbaum, G., 'Stability analysis of the non-linear Mathieu equation', Journal of Sound and Vibration 167(1), 1993, 77-89.
    • (1993) Journal of Sound and Vibration , vol.167 , Issue.1 , pp. 77-89
    • Mond, M.1    Cederbaum, G.2
  • 5
    • 0030211509 scopus 로고    scopus 로고
    • Periodic solution of a second order autonomous nonlinear system
    • Esmailzadeh, E., Mehri, B., and Nakhaie-Jazar, G., 'Periodic solution of a second order autonomous nonlinear system', Nonlinear Dynamics 10(4), 1996, 307-316.
    • (1996) Nonlinear Dynamics , vol.10 , Issue.4 , pp. 307-316
    • Esmailzadeh, E.1    Mehri, B.2    Nakhaie-Jazar, G.3
  • 6
  • 7
    • 0005648580 scopus 로고    scopus 로고
    • Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion
    • Esmailzadeh, E. and Jalili, N., 'Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion', International Journal of Non-Linear Mechanics 33(5), 1998, 765-781.
    • (1998) International Journal of Non-linear Mechanics , vol.33 , Issue.5 , pp. 765-781
    • Esmailzadeh, E.1    Jalili, N.2
  • 8
    • 0005184826 scopus 로고    scopus 로고
    • Longitudinal and rotational coupled vibration of viscoelastic bars with tip mass
    • Esmailzadeh, E. and Shahani, A. R., 'Longitudinal and rotational coupled vibration of viscoelastic bars with tip mass', International Journal of Non-Linear Mechanics 34(1), 1999, 111-116.
    • (1999) International Journal of Non-linear Mechanics , vol.34 , Issue.1 , pp. 111-116
    • Esmailzadeh, E.1    Shahani, A.R.2
  • 10
    • 0034299253 scopus 로고    scopus 로고
    • Stability analysis for systems of nonlinear Hill's equations
    • Mahmoud, G. M., Bountis, T., and Ahmad, A., 'Stability analysis for systems of nonlinear Hill's equations', Physica A 286, 2000, 133-146.
    • (2000) Physica A , vol.286 , pp. 133-146
    • Mahmoud, G.M.1    Bountis, T.2    Ahmad, A.3
  • 11
    • 0031212723 scopus 로고    scopus 로고
    • Stability regions for coupled Hill's equations
    • Mahmoud, G. M., 'Stability regions for coupled Hill's equations', Physica A 242, 1997, 239-249.
    • (1997) Physica A , vol.242 , pp. 239-249
    • Mahmoud, G.M.1
  • 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 Solitons and Fractals 12(4), 2001, 705-720.
    • (2001) Chaos Solitons and Fractals , vol.12 , Issue.4 , pp. 705-720
    • El-Dib, Y.O.1
  • 13
    • 0036680917 scopus 로고    scopus 로고
    • Bifurcation in a Mathieu equation with cubic nonlinearities
    • Ng, L. and Rand, R., 'Bifurcation in a Mathieu equation with cubic nonlinearities', Chaos Solitons and Fractals 14(2), 2002, 173-181.
    • (2002) Chaos Solitons and Fractals , vol.14 , Issue.2 , pp. 173-181
    • Ng, L.1    Rand, R.2
  • 15
    • 0038341785 scopus 로고    scopus 로고
    • Approximate asymptotic for nonlinear Mathieu equation using harmonic balance based averaging
    • Abraham, G. T., and Chatterjee, A., 'Approximate asymptotic for nonlinear Mathieu equation using harmonic balance based averaging', Nonlinear Dynamics 31, 2003, 347-365.
    • (2003) Nonlinear Dynamics , vol.31 , pp. 347-365
    • Abraham, G.T.1    Chatterjee, A.2
  • 16
    • 0038003833 scopus 로고    scopus 로고
    • Resonance in the quasi-periodic Mathieu equation
    • Rand, R., Guennoun, K., and Belhaq, M., 'Resonance in the quasi-periodic Mathieu equation', Nonlinear Dynamics 31, 2003, 367-374.
    • (2003) Nonlinear Dynamics , vol.31 , pp. 367-374
    • Rand, R.1    Guennoun, K.2    Belhaq, M.3
  • 17
    • 0036474345 scopus 로고    scopus 로고
    • Quasi-Periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation
    • Guennoun, K., Houssni, M., and Belhaq, M., 'Quasi-Periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation', Nonlinear Dynamics 27, 2002, 211-236.
    • (2002) Nonlinear Dynamics , vol.27 , pp. 211-236
    • Guennoun, K.1    Houssni, M.2    Belhaq, M.3
  • 18
    • 0036190604 scopus 로고    scopus 로고
    • Global behavior of a nonlinear quasi-periodic Mathieu Equation
    • Zounes, R. and Rand, R. H., 'Global behavior of a nonlinear quasi-periodic Mathieu Equation', Nonlinear Dynamics 27, 2002, 87-105.
    • (2002) Nonlinear Dynamics , vol.27 , pp. 87-105
    • Zounes, R.1    Rand, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.