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Volumn 39, Issue 12, 1998, Pages 6459-6489

Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span

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EID: 0032341745     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532670     Document Type: Article
Times cited : (99)

References (12)
  • 1
    • 0030209336 scopus 로고    scopus 로고
    • Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint
    • G. Chen, H. B. Hsu, and J. Zhou, "Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint," Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 1509-1527 (1996).
    • (1996) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.6 , pp. 1509-1527
    • Chen, G.1    Hsu, H.B.2    Zhou, J.3
  • 2
    • 85033903851 scopus 로고    scopus 로고
    • Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part I: Controlled hysteresis
    • to appear
    • G. Chen, H. B. Hsu, and J. Zhou, "Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part I: controlled hysteresis," Transactions Amer. Math. Soc. (to appear).
    • Transactions Amer. Math. Soc.
    • Chen, G.1    Hsu, H.B.2    Zhou, J.3
  • 3
    • 0032020974 scopus 로고    scopus 로고
    • Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part II: Energy injection, period doubling and homoclinic orbit
    • G. Chen, H. B. Hsu, and J. Zhou, "Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part II: energy injection, period doubling and homoclinic orbit," Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 423-445 (1998).
    • (1998) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.8 , pp. 423-445
    • Chen, G.1    Hsu, H.B.2    Zhou, J.3
  • 4
    • 20244376124 scopus 로고    scopus 로고
    • Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part III: Natural hysteresis memory effects
    • G. Chen, H. B. Hsu, and J. Zhou, "Chaotic vibration of the one-dimensional wave equation due to a self-excitation boundary condition, Part III: natural hysteresis memory effects," Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 447-470 (1998).
    • (1998) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.8 , pp. 447-470
    • Chen, G.1    Hsu, H.B.2    Zhou, J.3
  • 6
    • 0000219830 scopus 로고
    • Exponential stability analysis of a long chain of coupled vibrating strings with dissipative linkage
    • K. S. Liu, F. L. Huang, and G. Chen, "Exponential stability analysis of a long chain of coupled vibrating strings with dissipative linkage," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 49, 1694-1707 (1989).
    • (1989) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. , vol.49 , pp. 1694-1707
    • Liu, K.S.1    Huang, F.L.2    Chen, G.3
  • 12
    • 0004132473 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • J. Franklin, Matrix Theory (Prentice-Hall, Englewood Cliffs, NJ, 1968).
    • (1968) Matrix Theory
    • Franklin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.