메뉴 건너뛰기




Volumn 39, Issue 4, 2005, Pages 395-409

Three-period quasi-periodic solutions in the self-excited quasi-periodic mathieu oscillator

Author keywords

Quasi periodic Mathieu equation; Self excitation; Three period quasi periodicity

Indexed keywords

APPROXIMATION THEORY; DYNAMICS; INTEGRATION; NUMERICAL METHODS; OSCILLATIONS; OSCILLATORS (MECHANICAL); STIFFNESS; SYNCHRONIZATION;

EID: 15544369259     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-3399-2     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 44649180886 scopus 로고
    • Application of the theory of nonlinear oscillations: Interaction of self-excited forced and parametrically excited vibrations
    • 3 Kiev, Naukowa Dumka
    • Schmidt, G., 'Application of the theory of nonlinear oscillations: Interaction of self-excited forced and parametrically excited vibrations', in The 9th International Conference on Non-linear Oscillations, 3 Kiev, Naukowa Dumka, 1984.
    • (1984) The 9th International Conference on Non-linear Oscillations
    • Schmidt, G.1
  • 2
    • 0001562862 scopus 로고
    • Self-excited system vibrating with parametric and external excitations
    • Szabelski, K. and Warminski, J., 'Self-excited system vibrating with parametric and external excitations', Journal of Sound and Vibration 187(4), 1995, 595-607.
    • (1995) Journal of Sound and Vibration , vol.187 , Issue.4 , pp. 595-607
    • Szabelski, K.1    Warminski, J.2
  • 3
    • 0032635861 scopus 로고    scopus 로고
    • Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
    • Belhaq, M. and Houssni, M., 'Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations', Nonlinear Dynamics 18, 1999, 1-24.
    • (1999) Nonlinear Dynamics , vol.18 , pp. 1-24
    • Belhaq, M.1    Houssni, M.2
  • 5
    • 0038003833 scopus 로고    scopus 로고
    • 2:2:1 Resonance in the quasi-periodic Mathieu equation
    • Rand, R., Guennoun, K., and Belhaq, M., '2:2:1 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
  • 7
    • 0018914192 scopus 로고
    • IntabilitŠten eines gedämpften Schwingers mit fast-periodischer Parametererregung
    • Weidenhammer, F., 'IntabilitŠten eines gedämpften Schwingers mit fast-periodischer Parametererregung', Ingeniour-Archiv 49, 1980, 187-193.
    • (1980) Ingeniour-Archiv , vol.49 , pp. 187-193
    • Weidenhammer, F.1
  • 8
    • 0032140745 scopus 로고    scopus 로고
    • Transition curves for the quasi-periodic Mathieu equation
    • Zounes, R. and Rand, R., Transition curves for the quasi-periodic Mathieu equation', SIAM Journal on Applied Mathematics 58, 1998, 1094-1115.
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , pp. 1094-1115
    • Zounes, R.1    Rand, R.2
  • 9
    • 0036190604 scopus 로고    scopus 로고
    • Global behavior of a nonlinear quasi-periodic Mathieu equation
    • Zounes, R. and Rand, R., '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.2
  • 14
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.