메뉴 건너뛰기




Volumn 29, Issue 3-4, 1999, Pages 213-220

Controlling degenerate Hopf bifurcations

Author keywords

Degenerate Hopf bifurcation; Hopf bifurcation; Nonlinear control

Indexed keywords


EID: 0001097520     PISSN: 03270793     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (20)
  • 1
    • 0022661079 scopus 로고
    • Local feedback stabilization and bifurcation control, I. Hopf bifurcation
    • Abed, E. H. and J.H. Fu. "Local feedback stabilization and bifurcation control, I. Hopf bifurcation," Sys. & Contr. Letts. 7, 11-17, (1986).
    • (1986) Sys. & Contr. Letts. , vol.7 , pp. 11-17
    • Abed, E.H.1    Fu, J.H.2
  • 2
    • 0023346390 scopus 로고
    • Local feedback stabilization and bifurcation control, II. Stationary bifurcation
    • Abed, E. H. and J.H. Fu. "Local feedback stabilization and bifurcation control, II. Stationary bifurcation," Sys. & Contr. Letts. 8, 467-473, (1987).
    • (1987) Sys. & Contr. Letts. , vol.8 , pp. 467-473
    • Abed, E.H.1    Fu, J.H.2
  • 3
    • 0000543326 scopus 로고
    • Stabilization of period doubling bifurcations and implications for control of chaos
    • Abed, E. H., H. O. Wang, and R. C. Chen. "Stabilization of period doubling bifurcations and implications for control of chaos," Physica D 70, 154-164, (1994).
    • (1994) Physica D , vol.70 , pp. 154-164
    • Abed, E.H.1    Wang, H.O.2    Chen, R.C.3
  • 4
    • 0003035143 scopus 로고
    • Feedback control of bifurcation and chaos in dynamical systems
    • (Eds.: N. Sri Namachchivaya & W. Kliemann), CRC Press, Boca Ratón
    • Abed, E. H. and H. O. Wang. "Feedback control of bifurcation and chaos in dynamical systems," in Nonl. Dyn. & Stock. Mech. (Eds.: N. Sri Namachchivaya & W. Kliemann), CRC Press, Boca Ratón, 153-173, (1995).
    • (1995) Nonl. Dyn. & Stock. Mech. , pp. 153-173
    • Abed, E.H.1    Wang, H.O.2
  • 5
    • 0032304717 scopus 로고    scopus 로고
    • Feedback control of limit cycles amplitudes from a frequency domain approach
    • Berns, D. W., J. L. Moiola, and G. Chen. "Feedback control of limit cycles amplitudes from a frequency domain approach," Automatica 12, 1567-1573, (1998).
    • (1998) Automatica , vol.12 , pp. 1567-1573
    • Berns, D.W.1    Moiola, J.L.2    Chen, G.3
  • 6
    • 0003272340 scopus 로고    scopus 로고
    • From chaos to order - Methodologies, perspectives and applications
    • World Sci. Pub. Co., Singapore
    • Chen, G. and X. Dong. From Chaos to Order - Methodologies, Perspectives and Applications. World Sci. Series on Nonl. Sci. 24, World Sci. Pub. Co., Singapore, (1998).
    • (1998) World Sci. Series on Nonl. Sci. , vol.24
    • Chen, G.1    Dong, X.2
  • 7
    • 0001661431 scopus 로고
    • An overview on bifurcation, chaos and nonlinear dynamics in control systems
    • Chen, G. and J. L. Moiola. "An overview on bifurcation, chaos and nonlinear dynamics in control systems," J. of the Franklin Institute 331B, 819-858, (1994).
    • (1994) J. of the Franklin Institute , vol.331 B , pp. 819-858
    • Chen, G.1    Moiola, J.L.2
  • 8
    • 33751096546 scopus 로고
    • Classification and unfoldings of degenerate Hopf bifurcations
    • Golubitsky, M. and W. F. Langford. "Classification and unfoldings of degenerate Hopf bifurcations," J. of Diff. Eqns. 41, 375-415, (1981).
    • (1981) J. of Diff. Eqns. , vol.41 , pp. 375-415
    • Golubitsky, M.1    Langford, W.F.2
  • 9
    • 3042896155 scopus 로고    scopus 로고
    • Application of continuation and bifurcation methods to the design of control systems
    • Thompson and MacMillen (1998)
    • Goman, M. G. and A. V. Khramtsovsky. "Application of continuation and bifurcation methods to the design of control systems", in Thompson and MacMillen (1998), Phil. Trans. R. Soc. London Series A 356, 2277-2295, (1998).
    • (1998) Phil. Trans. R. Soc. London Series A , vol.356 , pp. 2277-2295
    • Goman, M.G.1    Khramtsovsky, A.V.2
  • 11
    • 0018452921 scopus 로고
    • The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
    • Mees, A. I. and L. O. Chua. "The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems," IEEE Trans. on Circ. & Systs. CAS-26 (4), 235-254, (1979).
    • (1979) IEEE Trans. on Circ. & Systs. , vol.CAS-26 , Issue.4 , pp. 235-254
    • Mees, A.I.1    Chua, L.O.2
  • 12
    • 0027644112 scopus 로고
    • Nonlinear oscillations in magnetic bearing systems
    • Mohamed, A. M. and F. P. Emad. "Nonlinear oscillations in magnetic bearing systems," IEEE Trans. on Auto. Contr. 38, 1242-1245, (1993).
    • (1993) IEEE Trans. on Auto. Contr. , vol.38 , pp. 1242-1245
    • Mohamed, A.M.1    Emad, F.P.2
  • 13
    • 0003135793 scopus 로고    scopus 로고
    • Hopf bifurcation analysis - A frequency domain approach
    • World Sci. Pub. Co., Singapore
    • Moiola, J. L. and G. Chen. Hopf Bifurcation Analysis - A Frequency Domain Approach. World Sci. Series on Nonl. Sci., 21, World Sci. Pub. Co., Singapore, (1996).
    • (1996) World Sci. Series on Nonl. Sci. , vol.21
    • Moiola, J.L.1    Chen, G.2
  • 14
    • 0040855806 scopus 로고
    • Catastrophes, bifurcations and degeneracies via feedback system theory
    • Moiola, J. L., A. C. Desages and J. A. Romagnoli. "Catastrophes, bifurcations and degeneracies via feedback system theory," Lat. Amer. Appl. Res. 21, 77-92, (1991).
    • (1991) Lat. Amer. Appl. Res. , vol.21 , pp. 77-92
    • Moiola, J.L.1    Desages, A.C.2    Romagnoli, J.A.3
  • 16
    • 0030235714 scopus 로고    scopus 로고
    • Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
    • Tesi, A., E. H. Abed, R. Genesio, and H. O. Wang. "Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics," Automatica 32, 1255-1271, (1996).
    • (1996) Automatica , vol.32 , pp. 1255-1271
    • Tesi, A.1    Abed, E.H.2    Genesio, R.3    Wang, H.O.4
  • 17
    • 0039077449 scopus 로고    scopus 로고
    • Nonlinear fligth dynamics of high-performance aircraft
    • Thompson, J. M. T., and F. B. J. MacMillen (Editors). "Nonlinear fligth dynamics of high-performance aircraft", special issue of the Phil. Trans. R. Soc. London Series A 356, 2163-2333, (1998).
    • (1998) Phil. Trans. R. Soc. London Series A , vol.356 , pp. 2163-2333
    • Thompson, J.M.T.1    MacMillen, F.B.J.2
  • 18
    • 0029376196 scopus 로고
    • Bifurcation control of a chaotic system
    • Wang, H. O. and E. H. Abed. "Bifurcation control of a chaotic system," Automation 31, 1213-1226, (1995).
    • (1995) Automation , vol.31 , pp. 1213-1226
    • Wang, H.O.1    Abed, E.H.2
  • 19
    • 0026797199 scopus 로고
    • Controlling chaos in a thermal convection loop
    • Wang, Y., J. Singer, and H. H. Bau. "Controlling chaos in a thermal convection loop," J. of Fluid Mech. 237, 479-498, (1992).
    • (1992) J. of Fluid Mech. , vol.237 , pp. 479-498
    • Wang, Y.1    Singer, J.2    Bau, H.H.3
  • 20
    • 0029675546 scopus 로고    scopus 로고
    • Rendering a subcritical hopf bifurcation supercritical
    • Yuen, P. K. and H. H. Bau. "Rendering a subcritical Hopf bifurcation supercritical," J. of Fluid Mech. 317, 91-109, (1996).
    • (1996) J. of Fluid Mech. , vol.317 , pp. 91-109
    • Yuen, P.K.1    Bau, H.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.