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Volumn 26, Issue 4, 2005, Pages 1231-1248

Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; FUNCTIONS; MAPS; RESONANCE;

EID: 19144367571     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.03.009     Document Type: Article
Times cited : (43)

References (21)
  • 1
    • 0039013985 scopus 로고    scopus 로고
    • Bifurcation control: Theories, methods and applications
    • G.R. Chen, J.L. Moiola, and H.O. Wang Bifurcation control: theories, methods and applications Int J Bifurcat Chaos 10 2000 511 548
    • (2000) Int J Bifurcat Chaos , vol.10 , pp. 511-548
    • Chen, G.R.1    Moiola, J.L.2    Wang, H.O.3
  • 2
    • 12744276247 scopus 로고    scopus 로고
    • Bifurcation dynamics in control systems
    • G.R. Chen D.J. Hill X. Yu Springer-Verlag Berlin
    • P. Yu Bifurcation dynamics in control systems G.R. Chen D.J. Hill X. Yu A chapter in the book bifurcation control: theory and applications 2003 Springer-Verlag Berlin 99 126
    • (2003) A Chapter in the Book Bifurcation Control: Theory and Applications , pp. 99-126
    • Yu, P.1
  • 4
    • 0036592398 scopus 로고    scopus 로고
    • On creation of Hopf bifurcations in discrete-time nonlinear systems
    • G. Wen, D. Xu, and X. Han On creation of Hopf bifurcations in discrete-time nonlinear systems Chaos 12 2002 350 355
    • (2002) Chaos , vol.12 , pp. 350-355
    • Wen, G.1    Xu, D.2    Han, X.3
  • 5
    • 0023346390 scopus 로고
    • Local feedback stabilization and bifurcation control, II. Stationary bifurcation
    • E.H. Abed, and J.H. Fu Local feedback stabilization and bifurcation control, II. Stationary bifurcation Syst Contr Lett 8 1987 467 473
    • (1987) Syst Contr Lett , vol.8 , pp. 467-473
    • Abed, E.H.1    Fu, J.H.2
  • 6
    • 0035409919 scopus 로고    scopus 로고
    • Controlling bifurcations of discrete maps
    • K.C. Yap, G.R. Chen, and T. Ueta Controlling bifurcations of discrete maps Latin Amer Appl Res 31 2001 157 162
    • (2001) Latin Amer Appl Res , vol.31 , pp. 157-162
    • Yap, K.C.1    Chen, G.R.2    Ueta, T.3
  • 7
    • 0022661079 scopus 로고
    • Local feedback stabilization and bifurcation control, I. Hopf bifurcation
    • E.H. Abed, and J.H. Fu Local feedback stabilization and bifurcation control, I. Hopf bifurcation Syst Contr Lett 7 1986 11 17
    • (1986) Syst Contr Lett , vol.7 , pp. 11-17
    • Abed, E.H.1    Fu, J.H.2
  • 8
    • 0032623009 scopus 로고    scopus 로고
    • Bifurcation dynamics in discrete-time delayed-feedback control systems
    • G.R. Chen, J. Lu, B. Nicholas, and S. Ranganathan Bifurcation dynamics in discrete-time delayed-feedback control systems Int J Bifurcat Chaos 9 1999 287 293
    • (1999) Int J Bifurcat Chaos , vol.9 , pp. 287-293
    • Chen, G.R.1    Lu, J.2    Nicholas, B.3    Ranganathan, S.4
  • 9
    • 0000543326 scopus 로고
    • Stabilization of period doubling bifurcations and implications for control of chaos
    • E.H. Abed, H.O. Wang, and G.R. Chen Stabilization of period doubling bifurcations and implications for control of chaos Physica D 70 1994 154 164
    • (1994) Physica D , vol.70 , pp. 154-164
    • Abed, E.H.1    Wang, H.O.2    Chen, G.R.3
  • 10
    • 0003031024 scopus 로고    scopus 로고
    • Stability of periodic orbits controlled by time-delay feedback
    • M.E. Bleich, and J.E.S. Socolar Stability of periodic orbits controlled by time-delay feedback Phys Lett A 210 1996 87 94
    • (1996) Phys Lett a , vol.210 , pp. 87-94
    • Bleich, M.E.1    Socolar, J.E.S.2
  • 11
    • 0344115281 scopus 로고    scopus 로고
    • Control of implicit chaotic maps using nonlinear approximations
    • J.P. LaSalle Control of implicit chaotic maps using nonlinear approximations Chaos 10 2000 676 681
    • (2000) Chaos , vol.10 , pp. 676-681
    • Lasalle, J.P.1
  • 12
    • 0037732523 scopus 로고    scopus 로고
    • Local feedback control of the Neimark-Sacker bifurcation
    • H. Yaghoobi, and E.H. Abed Local feedback control of the Neimark-Sacker bifurcation Int J Bifurcat Chaos 13 2003 879 893
    • (2003) Int J Bifurcat Chaos , vol.13 , pp. 879-893
    • Yaghoobi, H.1    Abed, E.H.2
  • 13
    • 1042276636 scopus 로고    scopus 로고
    • Control of degenerate Hopf bifurcations in three-dimensional maps
    • G. Wen, D. Xu, and J. Xie Control of degenerate Hopf bifurcations in three-dimensional maps Chaos 13 2003 486 494
    • (2003) Chaos , vol.13 , pp. 486-494
    • Wen, G.1    Xu, D.2    Xie, J.3
  • 14
    • 1942472224 scopus 로고    scopus 로고
    • Hopf bifurcation control using nonlinear feedback with polynomial functions
    • P. Yu, and G.R. Chen Hopf bifurcation control using nonlinear feedback with polynomial functions Int J Bifurcat Chaos 14 2004 1683 1704
    • (2004) Int J Bifurcat Chaos , vol.14 , pp. 1683-1704
    • Yu, P.1    Chen, G.R.2
  • 20
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • P. Yu Computation of normal forms via a perturbation technique J Sound Vib 211 1998 19 38
    • (1998) J Sound Vib , vol.211 , pp. 19-38
    • Yu, P.1
  • 21
    • 13844275807 scopus 로고    scopus 로고
    • Designing Hopf bifurcations into nonlinear discrete-time systems via feedback control
    • G. Wen, and D. Xu Designing Hopf bifurcations into nonlinear discrete-time systems via feedback control Int J Bifurcat Chaos 14 2004 2283 2293
    • (2004) Int J Bifurcat Chaos , vol.14 , pp. 2283-2293
    • Wen, G.1    Xu, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.