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Volumn 309, Issue 1-2, 2008, Pages 330-337

Chaotic motion of Van der Pol-Mathieu-Duffing system under bounded noise parametric excitation

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; COMPUTER SIMULATION; LYAPUNOV METHODS; MEAN SQUARE ERROR; STOCHASTIC CONTROL SYSTEMS;

EID: 35448992533     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.027     Document Type: Article
Times cited : (27)

References (12)
  • 1
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    • The Universal classification of principal parametric resonance bifurcation solution of Van der Pol-Duffing-Mathieu type system
    • (in Chinese)
    • Chen Y.S., and Xu J. The Universal classification of principal parametric resonance bifurcation solution of Van der Pol-Duffing-Mathieu type system. Science in China (series A) 25 12 (1995) 1287-1297 (in Chinese)
    • (1995) Science in China (series A) , vol.25 , Issue.12 , pp. 1287-1297
    • Chen, Y.S.1    Xu, J.2
  • 2
    • 0035969449 scopus 로고    scopus 로고
    • Chaotic motion in the generic separatrix bands of a Mathieu-Duffing oscillator with a twin-well potential
    • Lou A.C.J. Chaotic motion in the generic separatrix bands of a Mathieu-Duffing oscillator with a twin-well potential. Journal of Sound and Vibration 248 3 (2001) 521-532
    • (2001) Journal of Sound and Vibration , vol.248 , Issue.3 , pp. 521-532
    • Lou, A.C.J.1
  • 3
    • 2542471713 scopus 로고    scopus 로고
    • Chaotic motion in the resonant separatrix bands of a Mathieu-Duffing oscillator with a twin-well potential
    • Lou A.C.J. Chaotic motion in the resonant separatrix bands of a Mathieu-Duffing oscillator with a twin-well potential. Journal of Sound and Vibration 273 3 (2004) 653-666
    • (2004) Journal of Sound and Vibration , vol.273 , Issue.3 , pp. 653-666
    • Lou, A.C.J.1
  • 4
    • 0036680917 scopus 로고    scopus 로고
    • Bifurcations in a Mathieu equation with cubic nonlinearities
    • Ng L. Bifurcations in a Mathieu equation with cubic nonlinearities. Chaos, Solitons and Fractals 14 (2002) 173-181
    • (2002) Chaos, Solitons and Fractals , vol.14 , pp. 173-181
    • Ng, L.1
  • 6
    • 20444446398 scopus 로고    scopus 로고
    • Maximal Lyapunov exponent and almost-sure stability for Stochastic Mathieu-Duffing Systems
    • Li J., Xu W., et al. Maximal Lyapunov exponent and almost-sure stability for Stochastic Mathieu-Duffing Systems. Journal of Sound and Vibration 286 (2005) 395-402
    • (2005) Journal of Sound and Vibration , vol.286 , pp. 395-402
    • Li, J.1    Xu, W.2
  • 7
    • 0035153319 scopus 로고    scopus 로고
    • Effect of bounded noise on chaotic motion of duffing oscillator under parametric excitation
    • Liu W.Y., Zhu W.Q., and Huang Z.L. Effect of bounded noise on chaotic motion of duffing oscillator under parametric excitation. Chaos, Solitons and Fractals 12 (2001) 527-537
    • (2001) Chaos, Solitons and Fractals , vol.12 , pp. 527-537
    • Liu, W.Y.1    Zhu, W.Q.2    Huang, Z.L.3
  • 8
    • 18444404940 scopus 로고    scopus 로고
    • Noise-induced chaos and basin erosion in softening Duffing oscillator
    • Gan C. Noise-induced chaos and basin erosion in softening Duffing oscillator. Chaos, Solitons and Fractals 25 (2005) 1069-1081
    • (2005) Chaos, Solitons and Fractals , vol.25 , pp. 1069-1081
    • Gan, C.1
  • 10
    • 11344281196 scopus 로고
    • Noise-induced chaos and phase space flux
    • Frey M., and Simiu E. Noise-induced chaos and phase space flux. Physica D 63 (1993) 321-340
    • (1993) Physica D , vol.63 , pp. 321-340
    • Frey, M.1    Simiu, E.2
  • 12
    • 0021224909 scopus 로고
    • Determing Lyapunov exponents from a time series
    • Wolf A., Swift J.R., Swinney H.L., and Vastano J.A. Determing Lyapunov exponents from a time series. Physica D 16 (1985) 285-317
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.R.2    Swinney, H.L.3    Vastano, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.