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Volumn 21, Issue 5, 2004, Pages 1175-1181

Chaos control by harmonic excitation with proper random phase

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; DAMPING; FEEDBACK CONTROL; HARMONIC ANALYSIS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; PROBLEM SOLVING; RANDOM PROCESSES; THEOREM PROVING;

EID: 1642290857     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.12.086     Document Type: Article
Times cited : (57)

References (19)
  • 2
    • 0000601493 scopus 로고
    • Using small perturbations to control chaos
    • Shinbrot T., Ott E., Grebogi C., Yorke J.A. Using small perturbations to control chaos. Nature. 363:1993;411-417.
    • (1993) Nature , vol.363 , pp. 411-417
    • Shinbrot, T.1    Ott, E.2    Grebogi, C.3    Yorke, J.A.4
  • 4
    • 0034178680 scopus 로고    scopus 로고
    • The control of chaos: Theory and applications
    • Boccaletti S., et al. The control of chaos: theory and applications. Physics Reports. 329:2000;103-197.
    • (2000) Physics Reports , vol.329 , pp. 103-197
    • Boccaletti, S.1
  • 6
    • 0039758367 scopus 로고    scopus 로고
    • Feedback of anticontrol of discrete chaos
    • Chen G., Lai D. Feedback of anticontrol of discrete chaos. Int. J. Bifurcation and Chaos. 8(7):1998;1585-1590.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , Issue.7 , pp. 1585-1590
    • Chen, G.1    Lai, D.2
  • 7
    • 0031097846 scopus 로고    scopus 로고
    • Making a dynamical system chaotic: Feedback control of Lyapunov exponents for discrete-time dynamical systems
    • Chen G., Lai D. Making a dynamical system chaotic: feedback control of Lyapunov exponents for discrete-time dynamical systems. IEEE Trans. Circuits Syst. I. 44:1997;250-253.
    • (1997) IEEE Trans. Circuits Syst. I , vol.44 , pp. 250-253
    • Chen, G.1    Lai, D.2
  • 8
    • 9644266471 scopus 로고
    • Suppression of chaos by resonant parametric perturbations
    • Lima R., Pettini M. Suppression of chaos by resonant parametric perturbations. Phys. Rev. A. 41:1990;726-733.
    • (1990) Phys. Rev. A , vol.41 , pp. 726-733
    • Lima, R.1    Pettini, M.2
  • 9
    • 0033197356 scopus 로고    scopus 로고
    • Chaos control by nonfeedback methods in the presence of noise
    • Ramesh M., Narayanan S. Chaos control by nonfeedback methods in the presence of noise. Chaos, Soliton and Fractals. 10:1999;1473-1489.
    • (1999) Chaos, Soliton and Fractals , vol.10 , pp. 1473-1489
    • Ramesh, M.1    Narayanan, S.2
  • 10
    • 0000137332 scopus 로고
    • Taming chaotic dynamics with weak periodic perturbations
    • Braiman Y., et al. Taming chaotic dynamics with weak periodic perturbations. Phys. Rev. Lett. 20:1991;2545-2548.
    • (1991) Phys. Rev. Lett. , vol.20 , pp. 2545-2548
    • Braiman, Y.1
  • 11
    • 1642392449 scopus 로고    scopus 로고
    • Lyapunov exponent and chaos of Duffing's equation perturbed by white noise
    • Wei J.G., Leng G. Lyapunov exponent and chaos of Duffing's equation perturbed by white noise. Applied Mathematics and Computation. 88:1997;77-93.
    • (1997) Applied Mathematics and Computation , vol.88 , pp. 77-93
    • Wei, J.G.1    Leng, G.2
  • 12
    • 0035153319 scopus 로고    scopus 로고
    • Effect of bounded noise on chaotic motion of a Duffing oscillator under parametric excitation
    • Liu W.Y., Zhu W.Q., Huang Z.L. Effect of bounded noise on chaotic motion of a 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
  • 13
    • 0001166404 scopus 로고
    • Phase effect in taming nonautonomous chaos by weak harmonic perturbations
    • Qu Z., Hu G., et al. Phase effect in taming nonautonomous chaos by weak harmonic perturbations. Phys. Rev. Lett. 74:1995;1736-1739.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1736-1739
    • Qu, Z.1    Hu, G.2
  • 14
    • 0001549366 scopus 로고
    • Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
    • Khasminskii R.Z. Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems. Theory Probability Appl. 12:1967;44-147.
    • (1967) Theory Probability Appl. , vol.12 , pp. 44-147
    • Khasminskii, R.Z.1
  • 15
    • 0002090725 scopus 로고
    • Dynamic stability of beams under axial forces - Lyapunov exponents for general fluctuating loads
    • Edited by Kratzig W.B. et al., Ruhr-University Bochum, SFB 151
    • Wedig WV. Dynamic stability of beams under axial forces - Lyapunov exponents for general fluctuating loads, in Proceedings Eurodyn'90, Conference on Structure Dynamics (Edited by Kratzig W.B. et al.), Vol. 1, pp 57-64, Ruhr-University Bochum, SFB 151 (1990).
    • (1990) Proceedings Eurodyn'90, Conference on Structure Dynamics , vol.1 , pp. 57-64
    • Wedig, W.V.1
  • 16
    • 0028392226 scopus 로고
    • Almost-sure stochastic stability of coupled non-linear oscillators
    • Ariaratnam S.T., Xie W.C. Almost-sure stochastic stability of coupled non-linear oscillators. Int. J. Non-Linear Mechanics. 29:1994;197-204.
    • (1994) Int. J. Non-linear Mechanics , vol.29 , pp. 197-204
    • Ariaratnam, S.T.1    Xie, W.C.2
  • 17
    • 0039400744 scopus 로고
    • Digital simulation of random processes and its applications
    • Shinozuka M. Digital simulation of random processes and its applications. Journal of Sound and Vibration. 25:1972;111-128.
    • (1972) Journal of Sound and Vibration , vol.25 , pp. 111-128
    • Shinozuka, M.1
  • 18
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems
    • English translation
    • Oseledec Y.I. A multiplicative ergodic theorem: Lyapunov characteristic number for dynamical systems. Trans. Moscow Math. Soc. 19:1968;197-231. (English translation).
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledec, Y.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.