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Volumn 364, Issue 1846, 2006, Pages 2309-2334

Delayed feedback control of chaos

Author keywords

Controlling chaos; Delayed feedback; Dynamical system; Pyragas method; Time delay autosynchronization; Unstable periodic orbit

Indexed keywords


EID: 33748310588     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2006.1827     Document Type: Review
Times cited : (253)

References (76)
  • 1
    • 45849155071 scopus 로고    scopus 로고
    • Giant improvement of time-delayed feedback control by spatio-temporal filtering
    • doi:10.1103/PhysRevLett.89.074101
    • Baba, N., Amann, A., Scholl, E. & Just, W. 2002 Giant improvement of time-delayed feedback control by spatio-temporal filtering. Phys. Rev. Lett. 89, 074 101. (doi:10.1103/PhysRevLett.89.074101)
    • (2002) Phys. Rev. Lett. , vol.89
    • Baba, N.1    Amann, A.2    Scholl, E.3    Just, W.4
  • 2
    • 0031258293 scopus 로고    scopus 로고
    • Stabilizing periodic orbits of forced systems via generalized Pyragas controllers
    • doi:10.1109/81.633895
    • Basso, M., Genesio, R. & Tesi, A. 1997a Stabilizing periodic orbits of forced systems via generalized Pyragas controllers. IEEE Trans. Circuits Syst. I 44, 1023-1027. (doi:10.1109/81.633895)
    • (1997) IEEE Trans. Circuits Syst. I , vol.44 , pp. 1023-1027
    • Basso, M.1    Genesio, R.2    Tesi, A.3
  • 4
    • 0040084964 scopus 로고    scopus 로고
    • On optimal stabilization of periodic orbits via time delayed feedback control
    • doi:10.1142/S0218127498001376
    • Basso, M., Genesio, R., Giovanardi, L., Tesi, A. & Torrini, G. 1998 On optimal stabilization of periodic orbits via time delayed feedback control. Int. J. Bifurc. Chaos Appl. Sci. Eng. 8, 1699-1706. (doi:10.1142/S0218127498001376)
    • (1998) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.8 , pp. 1699-1706
    • Basso, M.1    Genesio, R.2    Giovanardi, L.3    Tesi, A.4    Torrini, G.5
  • 5
    • 0033220665 scopus 로고    scopus 로고
    • Stabilization of periodic orbits of the buck converter by time-delayed feedback
    • doi:10.1002/(SICI)1097-007X(199911/12)27:6〈617::AID-CTA87〉3.0. CO;2-R
    • Batlle, C., Fossas, E. & Olivar, G. 1999 Stabilization of periodic orbits of the buck converter by time-delayed feedback. Int. J. Circuit Theory Appl. 27, 617-631. (doi:10.1002/(SICI)1097-007X(199911/12)27:6〈617::AID-CTA87〉3.0.CO;2-R)
    • (1999) Int. J. Circuit Theory Appl. , vol.27 , pp. 617-631
    • Batlle, C.1    Fossas, E.2    Olivar, G.3
  • 6
    • 0000277549 scopus 로고
    • Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom
    • doi:10.1103/PhysRevA.19.2454
    • Benettin, G., Froeschle, C. & Scheidecker, J. P. 1979 Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom. Phys. Rev. A 19, 2454-2460. (doi:10.1103/PhysRevA.19.2454)
    • (1979) Phys. Rev. A , vol.19 , pp. 2454-2460
    • Benettin, G.1    Froeschle, C.2    Scheidecker, J.P.3
  • 7
    • 0035998237 scopus 로고    scopus 로고
    • Control of chaos by time-delayed feedback in high-power ferromagnetic resonance experiments
    • Benner, H. & Just, W. 2002 Control of chaos by time-delayed feedback in high-power ferromagnetic resonance experiments. J. Korean Phys. Soc. 40, 1046-1050.
    • (2002) J. Korean Phys. Soc. , vol.40 , pp. 1046-1050
    • Benner, H.1    Just, W.2
  • 8
    • 0346280649 scopus 로고
    • Experimental charakterization of unstable periodic orbits by controlling chaos
    • doi:10.1103/PhysRevA.47.R2492
    • Bielawski, S., Derozier, D. & Glorieux, P. 1993 Experimental charakterization of unstable periodic orbits by controlling chaos. Phys. Rev. A 47, R2492-R2495. (doi:10.1103/PhysRevA.47.R2492)
    • (1993) Phys. Rev. A , vol.47
    • Bielawski, S.1    Derozier, D.2    Glorieux, P.3
  • 9
    • 0000763035 scopus 로고
    • Controlling unstable periodic orbits by a delayed continuous feedback
    • doi:10.1103/PhysRevE.49.R971
    • Bielawski, S., Derozier, D. & Glorieux, P. 1994 Controlling unstable periodic orbits by a delayed continuous feedback. Phys. Rev. E 49, R971-R974. (doi:10.1103/PhysRevE.49.R971)
    • (1994) Phys. Rev. E , vol.49
    • Bielawski, S.1    Derozier, D.2    Glorieux, P.3
  • 10
    • 0003031024 scopus 로고    scopus 로고
    • Stability of periodic orbits controlled by time-delay feedback
    • Bleich, M. E. & Socolar, J. E. S. 1996 Stability of periodic orbits controlled by time-delay feedback. Phys. Lett. 210A, 87-94.
    • (1996) Phys. Lett. , vol.210 A , pp. 87-94
    • Bleich, M.E.1    Socolar, J.E.S.2
  • 11
    • 0040197917 scopus 로고    scopus 로고
    • Delayed feedback control of a paced excitable oscillator
    • doi:10.1142/S0218127400000414
    • Bleich, M. E. & Socolar, J. E. S. 2000 Delayed feedback control of a paced excitable oscillator. Int. J. Bifurc. Chaos Appl. Sci. Eng. 10, 603-609. (doi:10.1142/S0218127400000414)
    • (2000) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.10 , pp. 603-609
    • Bleich, M.E.1    Socolar, J.E.S.2
  • 12
    • 0001091883 scopus 로고    scopus 로고
    • Controlling extended systems with spatially filtered, time-delayed feedback
    • doi:10.1103/PhysRevE.55.2119
    • Bleich, M. E., Hochheiser, D., Moloney, J. V. & Socolar, J. E. S. 1997 Controlling extended systems with spatially filtered, time-delayed feedback. Phys. Rev. E 55, 2119-2126. (doi:10.1103/PhysRevE.55.2119)
    • (1997) Phys. Rev. E , vol.55 , pp. 2119-2126
    • Bleich, M.E.1    Hochheiser, D.2    Moloney, J.V.3    Socolar, J.E.S.4
  • 14
    • 0031236791 scopus 로고    scopus 로고
    • Adaptive strategies for recognition, control and synchronization of chaos
    • doi:10.1016/S0960-0779(96)00169-5
    • Boccaletti, S., Farini, A. & Arecchi, F. T. 1997 Adaptive strategies for recognition, control and synchronization of chaos. Chaos Soliton. Fract. 8, 1431-1448. (doi:10.1016/S0960-0779(96)00169-5)
    • (1997) Chaos Soliton. Fract. , vol.8 , pp. 1431-1448
    • Boccaletti, S.1    Farini, A.2    Arecchi, F.T.3
  • 15
    • 0034178680 scopus 로고    scopus 로고
    • The control of chaos: Theory and applications
    • doi:10.1016/S0370-1573(99)00096-4
    • Boccaletti, S., Grebogi, C., Lai, Y.-C., Mancini, H. & Maza, D. 2000 The control of chaos: theory and applications. Phys. Rep. 329, 103-197. (doi:10.1016/S0370-1573(99)00096-4)
    • (2000) Phys. Rep. , vol.329 , pp. 103-197
    • Boccaletti, S.1    Grebogi, C.2    Lai, Y.-C.3    Mancini, H.4    Maza, D.5
  • 16
    • 21844486300 scopus 로고
    • Experimental verification of Pyragas's chaos control method applied to Chua's circuit
    • doi:10.1142/S0218127494001313
    • Celka, P. 1994 Experimental verification of Pyragas's chaos control method applied to Chua's circuit. Int. J. Bifurc. Chaos Appl. Sci. Eng. 4, 1703-1706. (doi:10.1142/S0218127494001313)
    • (1994) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.4 , pp. 1703-1706
    • Celka, P.1
  • 18
    • 1842621885 scopus 로고    scopus 로고
    • Chen, G. & Yu, X. (eds). Berlin, Germany: Springer
    • Chen, G. & Yu, X. (eds) 2003 Chaos control. Theory and applications. Berlin, Germany: Springer.
    • (2003) Chaos Control. Theory and Applications
  • 19
    • 0000616907 scopus 로고    scopus 로고
    • Real-time experimental control of a system in its chaotic and nonchaotic regimes
    • doi:10.1103/PhysRevE.56.R3749
    • Christini, D. J., In, V., Spano, M. L., Ditto, W. L. & Collins, J. J. 1997 Real-time experimental control of a system in its chaotic and nonchaotic regimes. Phys. Rev. E 56, R3749-R3752. (doi:10.1103/PhysRevE.56.R3749)
    • (1997) Phys. Rev. E , vol.56
    • Christini, D.J.1    In, V.2    Spano, M.L.3    Ditto, W.L.4    Collins, J.J.5
  • 20
    • 41349116706 scopus 로고    scopus 로고
    • Control of chaotic solitons by a time-delayed feedback mechanism
    • doi:10.1103/PhysRevE.65.026219
    • Fronczak, P. & Holyst, J. A. 2002 Control of chaotic solitons by a time-delayed feedback mechanism. Phys. Rev. E 65, 026 219. (doi:10.1103/PhysRevE.65.026219)
    • (2002) Phys. Rev. E , vol.65
    • Fronczak, P.1    Holyst, J.A.2
  • 21
    • 0036856859 scopus 로고    scopus 로고
    • Dynamical control of the chaotic state of the current-driven ion acoustic instability in a laboratory plasma using delayed feedback
    • doi:10.1063/1.1513469
    • Fukuyama, T., Shirahama, H. & Kawai, Y. 2002 Dynamical control of the chaotic state of the current-driven ion acoustic instability in a laboratory plasma using delayed feedback. Phys. Plasmas 9, 4525-4529. (doi:10.1063/1.1513469)
    • (2002) Phys. Plasmas , vol.9 , pp. 4525-4529
    • Fukuyama, T.1    Shirahama, H.2    Kawai, Y.3
  • 22
    • 0036696366 scopus 로고    scopus 로고
    • Delayed feedback control of chaotic systems with dry friction
    • doi:10.1142/S0218127402005546
    • Galvanetto, U. 2002 Delayed feedback control of chaotic systems with dry friction. Int. J. Bifurc. Chaos Appl. Sci. Eng. 12, 1877-1883. (doi:10.1142/S0218127402005546)
    • (2002) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.12 , pp. 1877-1883
    • Galvanetto, U.1
  • 23
    • 0000481822 scopus 로고
    • Stabilizing unstable periodic orbits in a fast diode resonator using continous time-delay autosynchronization
    • doi:10.1103/PhysRevE.50.2343
    • Gauthier, D. J., Sukow, D. W., Concannon, H. M. & Socolar, J. E. S. 1994 Stabilizing unstable periodic orbits in a fast diode resonator using continous time-delay autosynchronization. Phys. Rev. E 50, 2343-2346. (doi:10.1103/PhysRevE.50.2343)
    • (1994) Phys. Rev. E , vol.50 , pp. 2343-2346
    • Gauthier, D.J.1    Sukow, D.W.2    Concannon, H.M.3    Socolar, J.E.S.4
  • 24
    • 0035219423 scopus 로고    scopus 로고
    • Dynamical study and control of drift waves in a magnetized laboratory plasma
    • Gravier, E., Caron, X., Bonhomme, G., Pierre, T. & Briancon, J. L. 2000 Dynamical study and control of drift waves in a magnetized laboratory plasma. Eur. J. Phys. 8D, 451-456.
    • (2000) Eur. J. Phys. , vol.8 D , pp. 451-456
    • Gravier, E.1    Caron, X.2    Bonhomme, G.3    Pierre, T.4    Briancon, J.L.5
  • 25
    • 0001577147 scopus 로고    scopus 로고
    • Electrochemical chaos control in a chemical reaction: Experiment and simulation
    • doi:10.1021/jp980997g
    • Guderian, A., Munster, A. F., Kraus, M. & Schneider, F. W. 1998 Electrochemical chaos control in a chemical reaction: experiment and simulation. J. Phys. Chem. A 102, 5059-5064. (doi:10.1021/jp980997g)
    • (1998) J. Phys. Chem. A , vol.102 , pp. 5059-5064
    • Guderian, A.1    Munster, A.F.2    Kraus, M.3    Schneider, F.W.4
  • 27
    • 0035959393 scopus 로고    scopus 로고
    • A robust delay adaptation scheme for Pyragas' chaos control method
    • Herrmann, G. 2001 A robust delay adaptation scheme for Pyragas' chaos control method. Phys. Lett. 287A, 245 256.
    • (2001) Phys. Lett. , vol.287 A
    • Herrmann, G.1
  • 28
    • 0002523175 scopus 로고    scopus 로고
    • Experimental study on stabilization of unstable periodic motion in magneto-elastic chaos
    • Hikihara, T. & Kawagoshi, T. 1996 Experimental study on stabilization of unstable periodic motion in magneto-elastic chaos. Phys. Lett. 211A, 29-36.
    • (1996) Phys. Lett. , vol.211 A , pp. 29-36
    • Hikihara, T.1    Kawagoshi, T.2
  • 29
    • 0001257227 scopus 로고    scopus 로고
    • Controlling optical turbulence
    • doi:10.1103/PhysRevA.55.R4011
    • Hochheiser, D., Moloney, J. V. & Lega, J. 1997 Controlling optical turbulence. Phys. Rev. A 55, R4011 R4014. (doi:10.1103/PhysRevA.55.R4011)
    • (1997) Phys. Rev. A , vol.55
    • Hochheiser, D.1    Moloney, J.V.2    Lega, J.3
  • 30
    • 0034509766 scopus 로고    scopus 로고
    • Chaos control in economical model by time-delayed feedback method
    • Holyst, J. A. & Urbanowicz, K. 2000 Chaos control in economical model by time-delayed feedback method. Physica 287A, 587-598.
    • (2000) Physica , vol.287 A , pp. 587-598
    • Holyst, J.A.1    Urbanowicz, K.2
  • 31
    • 0037523710 scopus 로고    scopus 로고
    • Observations of deterministic chaos in financial time series by recurrence plots, can one control chaotic economy?
    • Holyst, J. A., Zebrowska, M. & Urbanowicz, K. 2001 Observations of deterministic chaos in financial time series by recurrence plots, can one control chaotic economy? Eur. Phys. J. 20B, 531-535.
    • (2001) Eur. Phys. J. , vol.20 B , pp. 531-535
    • Holyst, J.A.1    Zebrowska, M.2    Urbanowicz, K.3
  • 32
    • 0000374199 scopus 로고    scopus 로고
    • Mechanism of time-delayed feedback control
    • doi:10.1103/PhysRevLett.78.203
    • Just, W., Bernard, T., Ostheimer, M., Reibold, E. & Benner, H. 1997 Mechanism of time-delayed feedback control. Phys. Rev. Lett. 78, 203-206. (doi:10.1103/PhysRevLett.78.203)
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 203-206
    • Just, W.1    Bernard, T.2    Ostheimer, M.3    Reibold, E.4    Benner, H.5
  • 34
    • 0000767198 scopus 로고    scopus 로고
    • Influence of stable Floquet exponents on time-delayed feedback control
    • doi:10.1103/PhysRevE.61.5045
    • Just, W., Reibold, E., Kacperski, K., Fronczak, P., Holyst, J. A. & Benner, H. 2000 Influence of stable Floquet exponents on time-delayed feedback control. Phys. Rev. E 61, 5045-5056. (doi:10.1103/PhysRevE.61.5045)
    • (2000) Phys. Rev. E , vol.61 , pp. 5045-5056
    • Just, W.1    Reibold, E.2    Kacperski, K.3    Fronczak, P.4    Holyst, J.A.5    Benner, H.6
  • 36
    • 0011185384 scopus 로고
    • Delayed feedback control of chaos in an electronic double-scroll oscillator
    • Kittel, A., Parisi, J., Pyragas, K. & Richter, R. 1994 Delayed feedback control of chaos in an electronic double-scroll oscillator. Z. Naturforsch. 49A, 843-846.
    • (1994) Z. Naturforsch. , vol.49 A , pp. 843-846
    • Kittel, A.1    Parisi, J.2    Pyragas, K.3    Richter, R.4
  • 37
    • 0000094321 scopus 로고
    • Delayed feedback control of chaos by self-adapted delay time
    • Kittel, A., Parisi, J. & Pyragas, K. 1995 Delayed feedback control of chaos by self-adapted delay time. Phys. Lett. 198A, 433-438.
    • (1995) Phys. Lett. , vol.198 A , pp. 433-438
    • Kittel, A.1    Parisi, J.2    Pyragas, K.3
  • 38
    • 0007192411 scopus 로고    scopus 로고
    • Coupled map car-following model and its delayed-feedback control
    • doi:10.1103/PhysRevE.60.4000
    • Konishi, K., Kokame, H. & Hirata, H. K. 1999 Coupled map car-following model and its delayed-feedback control. Phys. Rev. E 60, 4000-4007. (doi:10.1103/PhysRevE.60.4000)
    • (1999) Phys. Rev. E , vol.60 , pp. 4000-4007
    • Konishi, K.1    Kokame, H.2    Hirata, H.K.3
  • 39
    • 0034224180 scopus 로고    scopus 로고
    • Stabilization of motion of helicopter rotor blades using delayed feedback-modelling, computer simulation and experimental verification
    • doi:10.1006/jsvi.1999.2878
    • Krodkiewski, J. M. & Faragher, J. S. 2000 Stabilization of motion of helicopter rotor blades using delayed feedback-modelling, computer simulation and experimental verification. J. Sound Vib. 234, 591-610. (doi:10.1006/jsvi.1999.2878)
    • (2000) J. Sound Vib. , vol.234 , pp. 591-610
    • Krodkiewski, J.M.1    Faragher, J.S.2
  • 40
    • 4143093387 scopus 로고
    • Characterization of an experimental strange attractor by periodic orbits
    • doi:10.1103/PhysRevA.40.4028
    • Lathrop, D. P. & Kostelich, E. J. 1989 Characterization of an experimental strange attractor by periodic orbits. Phys. Rev. A 40, 4028-4031. (doi:10.1103/PhysRevA.40.4028)
    • (1989) Phys. Rev. A , vol.40 , pp. 4028-4031
    • Lathrop, D.P.1    Kostelich, E.J.2
  • 41
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • doi:10.1175/1520-0469(1963)020〈0130:DNF〉2.0.CO;2
    • Lorenz, E. N. 1963 Deterministic non-periodic flow. J. Atmos. Sci. 20, 130-141. (doi:10.1175/1520-0469(1963)020〈0130:DNF〉2.0.CO;2)
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 42
    • 22444453314 scopus 로고    scopus 로고
    • Instabilities and tracking of travelling wave patterns in a three-level laser
    • doi:10.1142/S0218127498001479
    • Lu, W., Yu, D. & Harrison, R. G. 1998 Instabilities and tracking of travelling wave patterns in a three-level laser. Int. J. Bifurc. Chaos Appl. Sci. Eng. 8, 1769-1775. (doi:10.1142/S0218127498001479)
    • (1998) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.8 , pp. 1769-1775
    • Lu, W.1    Yu, D.2    Harrison, R.G.3
  • 43
    • 0142109062 scopus 로고    scopus 로고
    • Control of chaotic Taylor-Couette flow with time-delayed feedback
    • Lüthje, O., Wolff, S. & Pfister, G. 2001 Control of chaotic Taylor-Couette flow with time-delayed feedback. Phys. Rev. Lett. 86, 1745-1748.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1745-1748
    • Lüthje, O.1    Wolff, S.2    Pfister, G.3
  • 44
    • 0039378244 scopus 로고    scopus 로고
    • Continuous control of ionization wave chaos by spatially derived feedback signals
    • Mausbach, Th., Klinger, Th., Piel, A., Atipo, A. & Pierre, Th. 1997 Continuous control of ionization wave chaos by spatially derived feedback signals. Phys. Lett. 228A, 373-377.
    • (1997) Phys. Lett. , vol.228 A , pp. 373-377
    • Mausbach, Th.1    Klinger, Th.2    Piel, A.3    Atipo, A.4    Pierre, Th.5
  • 45
    • 0001853014 scopus 로고
    • Controlling chaos to store information in delay-differential equations
    • Mensour, B. & Longtin, A. 1995 Controlling chaos to store information in delay-differential equations. Phys. Lett. 205A, 18-24.
    • (1995) Phys. Lett. , vol.205 A , pp. 18-24
    • Mensour, B.1    Longtin, A.2
  • 46
    • 57249083875 scopus 로고    scopus 로고
    • Delayed-feedback control of chaotic roll motion of a flooded ship in waves
    • doi:10.1098/rspa.2002.1012
    • Mitsubori, K. & Aihara, K. U. 2002 Delayed-feedback control of chaotic roll motion of a flooded ship in waves. Proc. R. Soc. A 458, 2801-2813. (doi:10.1098/rspa.2002.1012)
    • (2002) Proc. R. Soc. A , vol.458 , pp. 2801-2813
    • Mitsubori, K.1    Aihara, K.U.2
  • 47
    • 0037646362 scopus 로고    scopus 로고
    • Stabilization of spatiotemporally chaotic semiconductor laser arrays by means of delayed optical feedback
    • Munkel, M., Kaiser, F. & Hess, O. 1997 Stabilization of spatiotemporally chaotic semiconductor laser arrays by means of delayed optical feedback. Phys. Rev. E 56, 3868-3875.
    • (1997) Phys. Rev. E , vol.56 , pp. 3868-3875
    • Munkel, M.1    Kaiser, F.2    Hess, O.3
  • 48
    • 0040644311 scopus 로고    scopus 로고
    • On analytical properties of delayed feedback control of chaos
    • Nakajima, H. 1997 On analytical properties of delayed feedback control of chaos. Phys. Lett. 232A, 207-210.
    • (1997) Phys. Lett. , vol.232 A , pp. 207-210
    • Nakajima, H.1
  • 49
    • 0001331819 scopus 로고    scopus 로고
    • Limitation of generalized delayed feedback control
    • Nakajima, H. & Ueda, Y. 1998a Limitation of generalized delayed feedback control. Physica 111D, 143-150.
    • (1998) Physica , vol.111 D , pp. 143-150
    • Nakajima, H.1    Ueda, Y.2
  • 50
    • 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. 1998b 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
  • 51
    • 0031224115 scopus 로고    scopus 로고
    • Automatic adjustment of delay time acid feedback gain in delayed feedback control of chaos
    • Nakajima, H., Ito, H. & Ueda, Y. 1997 Automatic adjustment of delay time acid feedback gain in delayed feedback control of chaos. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E80A, 1554-1559.
    • (1997) IEICE Trans. Fundam. Electron. Commun. Comput. Sci. , vol.E80A , pp. 1554-1559
    • Nakajima, H.1    Ito, H.2    Ueda, Y.3
  • 52
    • 4243489552 scopus 로고
    • Controlling chaos
    • doi:10.1103/PhysRevLett.64.1196
    • Ott, E., Grebogi, C. & Yorke, J. A. 1990 Controlling chaos. Phys. Rev. Lett. 64, 1196-1199. (doi:10.1103/PhysRevLett.64.1196)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1196-1199
    • Ott, E.1    Grebogi, C.2    Yorke, J.A.3
  • 53
    • 0001491949 scopus 로고    scopus 로고
    • Stabilization of unstable steady states and periodic orbits in an electrochemical system using delayed-feedback control
    • doi:10.1103/PhysRevE.59.5266
    • Parmananda, P., Madrigal, R., Rivera, M., Nyikos, L., Kiss, I. Z. & Gaspar, V. 1999 Stabilization of unstable steady states and periodic orbits in an electrochemical system using delayed-feedback control. Phys. Rev. E 59, 5266-5271. (doi:10.1103/PhysRevE.59.5266)
    • (1999) Phys. Rev. E , vol.59 , pp. 5266-5271
    • Parmananda, P.1    Madrigal, R.2    Rivera, M.3    Nyikos, L.4    Kiss, I.Z.5    Gaspar, V.6
  • 54
    • 0000499944 scopus 로고    scopus 로고
    • Controlling the chaotic regime of nonlinear ionization waves using the time-delay autosynchronization method
    • doi:10.1103/PhysRevLett.76.2290
    • Pierre, T., Bonhomme, G. & Atipo, A. 1996 Controlling the chaotic regime of nonlinear ionization waves using the time-delay autosynchronization method. Phys. Rev. Lett. 78, 2290-2293. (doi:10.1103/PhysRevLett.76.2290)
    • (1996) Phys. Rev. Lett. , vol.78 , pp. 2290-2293
    • Pierre, T.1    Bonhomme, G.2    Atipo, A.3
  • 55
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • Pyragas, K. 1992 Continuous control of chaos by self-controlling feedback. Phys. Lett. 170A, 421-428.
    • (1992) Phys. Lett. , vol.170 A , pp. 421-428
    • Pyragas, K.1
  • 56
    • 24844468720 scopus 로고
    • Control of chaos via extended delay feedback
    • Pyragas, K. 1995 Control of chaos via extended delay feedback. Phys. Lett. 206A, 323-330.
    • (1995) Phys. Lett. , vol.206 A , pp. 323-330
    • Pyragas, K.1
  • 57
    • 0035848144 scopus 로고    scopus 로고
    • Control of chaos via an unstable delayed feedback controller
    • doi:10.1103/PhysRevLett.86.2265
    • Pyragas, K. 2001 Control of chaos via an unstable delayed feedback controller. Phys. Rev. Lett. 86, 2265-2268. (doi:10.1103/PhysRevLett.86.2265)
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2265-2268
    • Pyragas, K.1
  • 58
    • 41349101500 scopus 로고    scopus 로고
    • Analytical properties and optimization of time-delayed feedback control
    • doi:10.1103/PhysRevE.66.026207
    • Pyragas, K. 2002 Analytical properties and optimization of time-delayed feedback control. Phys. Rev. E 66, 026207. (doi:10.1103/PhysRevE.66.026207)
    • (2002) Phys. Rev. E , vol.66 , pp. 026207
    • Pyragas, K.1
  • 59
    • 43949167979 scopus 로고
    • Experimental control of chaos by delayed self-controlling feedback
    • Pyragas, K. & Tamaševičius, A. 1993 Experimental control of chaos by delayed self-controlling feedback. Phys. Lett. 180A, 99-102.
    • (1993) Phys. Lett. , vol.180 A , pp. 99-102
    • Pyragas, K.1    Tamaševičius, A.2
  • 60
    • 18744408515 scopus 로고    scopus 로고
    • Stabilizing and tracking unknown steady states of dynamical systems
    • doi:10.1103/PhysRevLett.89.244103
    • Pyragas, K., Pyragas, V., Kiss, I. Z. & Hudson, J. L. 2002 Stabilizing and tracking unknown steady states of dynamical systems. Phys. Rev. Lett. 89, 244 103. (doi:10.1103/PhysRevLett.89.244103)
    • (2002) Phys. Rev. Lett. , vol.89
    • Pyragas, K.1    Pyragas, V.2    Kiss, I.Z.3    Hudson, J.L.4
  • 61
    • 42749108014 scopus 로고    scopus 로고
    • Adaptive control of unknown unstable steady states of dynamical systems
    • doi:10.1103/PhysRevE.70.026215
    • Pyragas, K., Pyragas, V., Kiss, I. Z. & Hudson, J. L. 2004a Adaptive control of unknown unstable steady states of dynamical systems. Phys. Rev. E 70, 026 215. (doi:10.1103/PhysRevE.70.026215)
    • (2004) Phys. Rev. E , vol.70
    • Pyragas, K.1    Pyragas, V.2    Kiss, I.Z.3    Hudson, J.L.4
  • 62
    • 41349094554 scopus 로고    scopus 로고
    • Delayed feedback control of dynamical systems at a subcritical Hopf bifurcation
    • doi:10.1103/PhysRevE.70.056222
    • Pyragas, K., Pyragas, V. & Benner, H. 2004b Delayed feedback control of dynamical systems at a subcritical Hopf bifurcation. Phys. Rev. E 70, 056 222. (doi:10.1103/PhysRevE.70.056222)
    • (2004) Phys. Rev. E , vol.70
    • Pyragas, K.1    Pyragas, V.2    Benner, H.3
  • 63
    • 0000285364 scopus 로고    scopus 로고
    • Spatiotemporal control of wave instabilities in cardiac tissue
    • doi:10.1103/PhysRevLett.83.456
    • Rappel, W. J., Fenton, F. & Karma, A. 1999 Spatiotemporal control of wave instabilities in cardiac tissue. Phys. Rev. Lett. 83, 456-459. (doi:10.1103/PhysRevLett.83.456)
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 456-459
    • Rappel, W.J.1    Fenton, F.2    Karma, A.3
  • 64
    • 85032428354 scopus 로고    scopus 로고
    • Controlling synchronization in an ensemble of globally coupled oscillators
    • doi:10.1103/PhysRevLett.92.114102
    • Rosenblum, M. & Pikovsky, A. 2004a Controlling synchronization in an ensemble of globally coupled oscillators. Phys. Rev. Lett. 92, 114 102. (doi:10.1103/PhysRevLett.92.114102)
    • (2004) Phys. Rev. Lett. , vol.92
    • Rosenblum, M.1    Pikovsky, A.2
  • 65
    • 41349121803 scopus 로고    scopus 로고
    • Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms
    • doi:10.1103/PhysRevE.70.041904
    • Rosenblum, M. & Pikovsky, A. 2004b Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms. Phys. Rev. E 70, 041 904. (doi:10.1103/PhysRevE.70.041904)
    • (2004) Phys. Rev. E , vol.70
    • Rosenblum, M.1    Pikovsky, A.2
  • 66
    • 49549126801 scopus 로고
    • An equation for continous chaos
    • Rössler, O. E. 1976 An equation for continous chaos. Phys. Lett. 57A, 397-398.
    • (1976) Phys. Lett. , vol.57 A , pp. 397-398
    • Rössler, O.E.1
  • 67
    • 0000601493 scopus 로고
    • Using small perturbations to control chaos
    • doi:10.1038/363411a0
    • Shinbrot, T., Grebogy, C., Ott, E. & Yorke, J. A. 1993 Using small perturbations to control chaos. Nature 363, 411-417. (doi:10.1038/363411a0)
    • (1993) Nature , vol.363 , pp. 411-417
    • Shinbrot, T.1    Grebogy, C.2    Ott, E.3    Yorke, J.A.4
  • 68
    • 0003736798 scopus 로고    scopus 로고
    • Shuster, H. G. (ed.). Weinheim, Germany: Wiley/VCH
    • Shuster, H. G. (ed.) 1999. Handbook of chaos control. Weinheim, Germany: Wiley/VCH.
    • (1999) Handbook of Chaos Control
  • 69
    • 0001831367 scopus 로고    scopus 로고
    • Controlling delay-induced chaotic behavior of a semiconductor laser with optical feedback
    • Simmendinger, C. & Hess, O. 1996 Controlling delay-induced chaotic behavior of a semiconductor laser with optical feedback. Phys. Lett. 21A, 97-105.
    • (1996) Phys. Lett. , vol.21 A , pp. 97-105
    • Simmendinger, C.1    Hess, O.2
  • 70
    • 0033116582 scopus 로고    scopus 로고
    • Controlling complex temporal and spatio-temporal dynamics in semiconductor lasers
    • doi:10.1016/S0960-0779(98)00037-X
    • Simmendinger, C., Munkel, M. & Hess, O. 1999 Controlling complex temporal and spatio-temporal dynamics in semiconductor lasers. Chaos Soliton. Fract. 10, 851-864. (doi:10.1016/S0960-0779(98)00037-X)
    • (1999) Chaos Soliton. Fract. , vol.10 , pp. 851-864
    • Simmendinger, C.1    Munkel, M.2    Hess, O.3
  • 71
    • 0001066377 scopus 로고    scopus 로고
    • Detecting unstable periodic orbits in chaotic experimental data
    • doi:10.1103/PhysRevLett.76.4705
    • So, P., Ott, E., Schiff, S. J., Kaplan, D. T., Sauer, T. & Grebogi, C. 1996 Detecting unstable periodic orbits in chaotic experimental data. Phys. Rev. Lett. 76, 4705-4708. (doi:10.1103/PhysRevLett.76.4705)
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4705-4708
    • So, P.1    Ott, E.2    Schiff, S.J.3    Kaplan, D.T.4    Sauer, T.5    Grebogi, C.6
  • 72
    • 0001533892 scopus 로고
    • Stabilizing unstable periodic orbits in fast dynamical systems
    • doi:10.1103/PhysRevE.50.3245
    • Socolar, J. E. S., Sukow, D. W. & Gauthier, D. J. 1994 Stabilizing unstable periodic orbits in fast dynamical systems. Phys. Rev. E 50, 3245-3248. (doi:10.1103/PhysRevE.50.3245)
    • (1994) Phys. Rev. E , vol.50 , pp. 3245-3248
    • Socolar, J.E.S.1    Sukow, D.W.2    Gauthier, D.J.3
  • 74
    • 0033640520 scopus 로고    scopus 로고
    • The control of higher dimensional chaos: Comparative results for the chaotic satellite attitude control problem
    • Tsui, A. P. M. & Jones, A. J. 2000 The control of higher dimensional chaos: comparative results for the chaotic satellite attitude control problem. Physica 135D, 41-62.
    • (2000) Physica , vol.135 D , pp. 41-62
    • Tsui, A.P.M.1    Jones, A.J.2
  • 75
    • 0030246050 scopus 로고    scopus 로고
    • Limitation of delayed feedback control in nonlinear discrete-time systems
    • doi:10.1109/81.536757
    • Ushio, T. 1996 Limitation of delayed feedback control in nonlinear discrete-time systems, IEEE Trans. Circuits Syst. I 43, 815 816. (doi:10.1109/81.536757)
    • (1996) IEEE Trans. Circuits Syst. I , vol.43
    • Ushio, T.1
  • 76
    • 42749099537 scopus 로고    scopus 로고
    • Domain of attraction for stabilized orbits in time delayed feedback controlled Duffing systems
    • doi:10.1103/PhysRevE.69.056209
    • Yamasue, K. & Hikihara, T. 2004 Domain of attraction for stabilized orbits in time delayed feedback controlled Duffing systems. Phys. Rev. E 69, 056 209. (doi:10.1103/PhysRevE.69.056209)
    • (2004) Phys. Rev. E , vol.69 , pp. 056209
    • Yamasue, K.1    Hikihara, T.2


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