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Volumn 371, Issue 1999, 2013, Pages

Feedback control of unstable periodic orbits in equivariant Hopf bifurcation problems

Author keywords

Coupled oscillators; Symmetric Hopf bifurcation; Time delayed feedback control

Indexed keywords

FEEDBACK CONTROL; OSCILLATORS (MECHANICAL); STABILIZATION;

EID: 84883353384     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2012.0467     Document Type: Article
Times cited : (25)

References (13)
  • 1
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • (doi:10.1016/0375-9601(92)90745-8)
    • Pyragas K. 1992 Continuous control of chaos by self-controlling feedback. Phys. Lett. A 170, 421-428. (doi:10.1016/0375-9601(92)90745-8)
    • (1992) Phys. Lett. A , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 2
    • 33748310588 scopus 로고    scopus 로고
    • Delayed feedback control of chaos
    • (doi10.1098/rsta.2006.1827)
    • Pyragas K. 2006 Delayed feedback control of chaos. Phil. Trans. R. Soc. A 364, 2309-2334. (doi10.1098/rsta.2006.1827)
    • (2006) Phil. Trans. R. Soc. A , vol.364 , pp. 2309-2334
    • Pyragas, K.1
  • 3
    • 33947278299 scopus 로고    scopus 로고
    • Refuting the odd-number limitation of time-delayed feedback control
    • (doi:10.1103/ PhysRevLett.98.114101)
    • Fiedler B, Flunkert V, Georgi M, Hövel P, Schöll E. 2007 Refuting the odd-number limitation of time-delayed feedback control. Phys. Rev. Lett. 98, 114101. (doi:10.1103/ PhysRevLett.98.114101)
    • (2007) Phys. Rev. Lett , vol.98 , pp. 114101
    • Fiedler, B.1    Flunkert, V.2    Georgi, M.3    Hövel, P.4    Schöll, E.5
  • 4
    • 79952439092 scopus 로고    scopus 로고
    • Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation
    • (doi:10.1016/ j.physd.2010.12.011)
    • Brown G, Postlethwaite CM, Silber M. 2011 Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation. Physica D 240, 1-13. (doi:10.1016/ j.physd.2010.12.011)
    • (2011) Physica D , vol.240 , pp. 1-13
    • Brown, G.1    Postlethwaite, C.M.2    Silber, M.3
  • 5
    • 34547934829 scopus 로고    scopus 로고
    • Beyond the odd number limitation: A bifurcation analysis of time-delayed feedback control
    • (doi:10.1103/ PhysRevE.76.026210)
    • Just W, Flunkert V, Hövel P, Schöll E. 2007 Beyond the odd number limitation: a bifurcation analysis of time-delayed feedback control. Phys. Rev. E 76, 026210. (doi:10.1103/ PhysRevE.76.026210)
    • (2007) Phys. Rev. e , vol.76 , pp. 026210
    • Just, W.1    Flunkert, V.2    Hövel, P.3    Schöll, E.4
  • 8
    • 9544238093 scopus 로고    scopus 로고
    • Feedback control of travelling wave solutions of the complex Ginzburg-Landau equation
    • (doi:10.1088/0951-7715/17/6/011)
    • Montgomery K, Silber M. 2004 Feedback control of travelling wave solutions of the complex Ginzburg-Landau equation. Nonlinearity 17, 2225-2248. (doi:10.1088/0951-7715/17/6/011)
    • (2004) Nonlinearity , vol.17 , pp. 2225-2248
    • Montgomery, K.1    Silber, M.2
  • 9
    • 35348973593 scopus 로고    scopus 로고
    • Spatial and temporal feedback of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
    • (doi:10.1016/j.physd.2007.07.011)
    • Postlethwaite CM, Silber M. 2007 Spatial and temporal feedback of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation. Physica D 236, 65-74. (doi:10.1016/j.physd.2007.07.011)
    • (2007) Physica D , vol.236 , pp. 65-74
    • Postlethwaite, C.M.1    Silber, M.2
  • 10
    • 76149107210 scopus 로고    scopus 로고
    • Delay stabilization of periodic orbits in coupled oscillator systems
    • (doi:10.1098/rsta.2009.0232)
    • Fiedler B, Flunkert V, Hövel P, Schöll E. 2010 Delay stabilization of periodic orbits in coupled oscillator systems. Phil. Trans. R. Soc. A 368, 319-341. (doi:10.1098/rsta.2009.0232)
    • (2010) Phil. Trans. R. Soc. A , vol.368 , pp. 319-341
    • Fiedler, B.1    Flunkert, V.2    Hövel, P.3    Schöll, E.4
  • 11
    • 4243685225 scopus 로고    scopus 로고
    • Half-period delayed feedback control for dynamical systems with symmetries
    • (doi:10.1103/PhysRevE.58.1757)
    • Nakajima H, Ueda Y. 1998 Half-period delayed feedback control for dynamical systems with symmetries. Phys. Rev. E 58, 1757-1763. (doi:10.1103/PhysRevE.58.1757)
    • (1998) Phys. Rev. e , vol.58 , pp. 1757-1763
    • Nakajima, H.1    Ueda, Y.2
  • 12
    • 36749027616 scopus 로고    scopus 로고
    • Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control
    • (doi:10.1103/PhysRevE.76.056214)
    • Postlethwaite CM, Silber M. 2007 Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control. Phys. Rev. E 76, 056214. (doi:10.1103/PhysRevE.76.056214)
    • (2007) Phys. Rev. e , vol.76 , pp. 056214
    • Postlethwaite, C.M.1    Silber, M.2
  • 13
    • 65249144528 scopus 로고    scopus 로고
    • Hopf bifurcation with SN-symmetry
    • (doi:10.1088/0951-7715/22/3/007)
    • Dias APS, Rodrigues A. 2009 Hopf bifurcation with SN-symmetry. Nonlinearity 22, 627. (doi:10.1088/0951-7715/22/3/007)
    • (2009) Nonlinearity , vol.22 , pp. 627
    • Dias, A.P.S.1    Rodrigues, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.