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Volumn 24, Issue 3, 2005, Pages 813-824

Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; MODULATION; NATURAL FREQUENCIES; PARAMETER ESTIMATION;

EID: 12244269095     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.09.097     Document Type: Article
Times cited : (13)

References (17)
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  • 3
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    • Bifurcations of tori and chaos in the quasiperiodically forced Duffing oscillator
    • A.B. Belogortsev Bifurcations of tori and chaos in the quasiperiodically forced Duffing oscillator Nonlinearity 5 1992 889 897
    • (1992) Nonlinearity , vol.5 , pp. 889-897
    • Belogortsev, A.B.1
  • 4
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    • The coexistence of periodic, almost-periodic and chaotic attractors in the van der Pol-Duffing oscillator
    • W.S. Stupnicka, and J. Rudowski The coexistence of periodic, almost-periodic and chaotic attractors in the van der Pol-Duffing oscillator J Sound Vib 199 2 1997 165 175
    • (1997) J Sound Vib , vol.199 , Issue.2 , pp. 165-175
    • Stupnicka, W.S.1    Rudowski, J.2
  • 5
    • 0005241747 scopus 로고    scopus 로고
    • Homoclinic tangles, phase locking, and chaos in a two-frequency perturbation of Duffing's equation
    • Y. Yagasaki Homoclinic tangles, phase locking, and chaos in a two-frequency perturbation of Duffing's equation J Nonlin Sci 9 1999 131 148
    • (1999) J Nonlin Sci , vol.9 , pp. 131-148
    • Yagasaki, Y.1
  • 6
    • 0035902060 scopus 로고    scopus 로고
    • Multiple resonant or non-resonant parametric excitations for nonlinear oscillators
    • A. Maccari Multiple resonant or non-resonant parametric excitations for nonlinear oscillators J Sound Vib 242 5 2001 855 866
    • (2001) J Sound Vib , vol.242 , Issue.5 , pp. 855-866
    • MacCari, A.1
  • 9
    • 0032140745 scopus 로고    scopus 로고
    • Transition curves for the quasiperiodic Mathieu equation
    • R. Zounes, and R. Rand Transition curves for the quasiperiodic Mathieu equation SIAM J Appl Math 58 1998 1094 1115
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    • Zounes, R.1    Rand, R.2
  • 10
    • 0036190604 scopus 로고    scopus 로고
    • Global behavior of a nonlinear quasiperiodic Mathieu equation
    • R. Zounes, and R. Rand Global behavior of a nonlinear quasiperiodic Mathieu equation Nonlin. Dyn. 27 2002 87 105
    • (2002) Nonlin. Dyn. , vol.27 , pp. 87-105
    • Zounes, R.1    Rand, R.2
  • 11
    • 0035297964 scopus 로고    scopus 로고
    • Asymptotic solutions for a damped non-linear quasi-periodic Mathieu equation
    • M. Belhaq, K. Guennoun, and M. Houssni Asymptotic solutions for a damped non-linear quasi-periodic Mathieu equation Int J Non-Lin. Mech. 37 2002 445 460
    • (2002) Int J Non-lin. Mech. , vol.37 , pp. 445-460
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  • 12
    • 0036474345 scopus 로고    scopus 로고
    • Quasi-periodic solutions and stability for a weakly damped nonlinear quasiperiodic Mathieu equation
    • K. Guennoun, M. Belhaq, and M. Houssni Quasi-periodic solutions and stability for a weakly damped nonlinear quasiperiodic Mathieu equation Nonlin. Dyn. 27 2002 211 236
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  • 14
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    • Quasiperiodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
    • M. Belhaq, and M. Houssni Quasiperiodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations Nonlin. Dyn. 18 1999 1 24
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