메뉴 건너뛰기




Volumn 183, Issue 3-4, 2003, Pages 220-244

Front dynamics in a delayed-feedback system with external forcing

Author keywords

Delayed feedback system; Memory function; Multistability; Optically bistable device

Indexed keywords

DEFORMATION; FEEDBACK; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0042010171     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00175-1     Document Type: Article
Times cited : (26)

References (39)
  • 1
    • 0026837530 scopus 로고
    • Oscillation modes of laser diode pumped hybrid bistable system with large delay and application to dynamical memory
    • Aida T., Davis P., Oscillation modes of laser diode pumped hybrid bistable system with large delay and application to dynamical memory. IEEE J. Quant. Electron. 28:1992;686-699.
    • (1992) IEEE J. Quant. Electron. , vol.28 , pp. 686-699
    • Aida, T.1    Davis, P.2
  • 2
    • 0028757059 scopus 로고
    • Oscillation mode selection using bifurcation of chaotic mode transitions in a nonlinear ring resonator
    • Aida T., Davis P., Oscillation mode selection using bifurcation of chaotic mode transitions in a nonlinear ring resonator. IEEE Trans. Quant. Electron. 30:1994;2986-2997.
    • (1994) IEEE Trans. Quant. Electron. , vol.30 , pp. 2986-2997
    • Aida, T.1    Davis, P.2
  • 3
    • 0000536568 scopus 로고
    • Two-dimensional representation of a delayed dynamical system
    • Arecchi F.T., Giacomelli G., Lapucci A., Meucci R., Two-dimensional representation of a delayed dynamical system. Phys. Rev. A. 45:1992;4225-4228.
    • (1992) Phys. Rev. A , vol.45 , pp. 4225-4228
    • Arecchi, F.T.1    Giacomelli, G.2    Lapucci, A.3    Meucci, R.4
  • 4
    • 0035442733 scopus 로고    scopus 로고
    • Multistability in dynamical systems induced by weak periodic perturbations
    • Chizhevsky V.N., Multistability in dynamical systems induced by weak periodic perturbations. Phys. Rev. E. 64:2001;036223.
    • (2001) Phys. Rev. E , vol.64 , pp. 036223
    • Chizhevsky, V.N.1
  • 5
    • 0001298781 scopus 로고    scopus 로고
    • Attractor splitting induced by resonant perturbations
    • Chizhevsky V.N., Corbalán R., Pisarchik A.N., Attractor splitting induced by resonant perturbations. Phys. Rev. E. 56:1997;1580-1584.
    • (1997) Phys. Rev. E , vol.56 , pp. 1580-1584
    • Chizhevsky, V.N.1    Corbalán, R.2    Pisarchik, A.N.3
  • 6
    • 77954349738 scopus 로고
    • Singularly perturbed delay-differential equations
    • Proceedings of the Workshop on Coupled Nonlinear Oscillators, Los Alamos, 1981, North-Holland, Amsterdam
    • S.N. Chow, J. Mallet-Paret, Singularly perturbed delay-differential equations, in: Proceedings of the Workshop on Coupled Nonlinear Oscillators, Los Alamos, 1981, North-Holland, Amsterdam, Math. Stud. 80 (1983) 3200-3272.
    • (1983) Math. Stud. , vol.80 , pp. 3200-3272
    • Chow, S.N.1    Mallet-Paret, J.2
  • 7
    • 0001205921 scopus 로고
    • Bifurcation gap in a hybrid optically bistable system
    • Derstine M.W., Gibbs H.M., Hopf F.A., Kaplan D.L., Bifurcation gap in a hybrid optically bistable system. Phys. Rev. A. 26:1982;3270-3272.
    • (1982) Phys. Rev. A , vol.26 , pp. 3270-3272
    • Derstine, M.W.1    Gibbs, H.M.2    Hopf, F.A.3    Kaplan, D.L.4
  • 9
    • 0002910353 scopus 로고
    • Long time behavior of solutions of bistable nonlinear diffusion equations
    • Fife P.C., Long time behavior of solutions of bistable nonlinear diffusion equations. Arch. Ration. Mech. Anal. 70:1979;31-46.
    • (1979) Arch. Ration. Mech. Anal. , vol.70 , pp. 31-46
    • Fife, P.C.1
  • 10
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • Fife P.C., McLeod J.B., The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch. Ration. Mech. Anal. 65:1977;335-361.
    • (1977) Arch. Ration. Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 12
    • 0000905238 scopus 로고    scopus 로고
    • Noise, multistability, and delayed recurrent loops
    • J. Foss, F. Moss, J. Milton, Noise, multistability, and delayed recurrent loops, Phys. Rev. E 55 (1997) 4536-4543.
    • (1997) Phys. Rev. E , vol.55 , pp. 4536-4543
    • Foss, J.1    Moss, F.2    Milton, J.3
  • 14
    • 0022753019 scopus 로고
    • The effect of modulation in a bistable system with delay
    • Gao J.Y., Narducci L.M., The effect of modulation in a bistable system with delay. Opt. Commun. 58:1986;360-364.
    • (1986) Opt. Commun. , vol.58 , pp. 360-364
    • Gao, J.Y.1    Narducci, L.M.2
  • 16
    • 7444270681 scopus 로고    scopus 로고
    • Relationship between delayed and spatially extended dynamical systems
    • Giacomelli G., Politi A., Relationship between delayed and spatially extended dynamical systems. Phys. Rev. Lett. 76:1996;2686-2689.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2686-2689
    • Giacomelli, G.1    Politi, A.2
  • 17
    • 0001778427 scopus 로고    scopus 로고
    • Multiple scale analysis of delayed dynamical systems
    • Giacomelli G., Politi A., Multiple scale analysis of delayed dynamical systems. Physica D. 117:1998;26-42.
    • (1998) Physica D , vol.117 , pp. 26-42
    • Giacomelli, G.1    Politi, A.2
  • 19
    • 0042678022 scopus 로고    scopus 로고
    • Metastability for delayed differential equations
    • Grotta-Ragazzo C., Pakdaman K., Malta C.P., Metastability for delayed differential equations. Phys. Rev. E. 60:1999;6230-6233.
    • (1999) Phys. Rev. E , vol.60 , pp. 6230-6233
    • Grotta-Ragazzo, C.1    Pakdaman, K.2    Malta, C.P.3
  • 22
    • 0018508810 scopus 로고
    • Multiple-valued stationary state and its instability of the transmitted light by a ring cavity
    • Ikeda K., Multiple-valued stationary state and its instability of the transmitted light by a ring cavity. Opt. Commun. 30:1979;257-261.
    • (1979) Opt. Commun. , vol.30 , pp. 257-261
    • Ikeda, K.1
  • 23
    • 35949025187 scopus 로고
    • Optical turbulence: Chaotic behavior of transmitted light from a ring cavity
    • Ikeda K., Daido H., Akimoto O., Optical turbulence: chaotic behavior of transmitted light from a ring cavity. Phys. Rev. Lett. 45:1980;709-712.
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 709-712
    • Ikeda, K.1    Daido, H.2    Akimoto, O.3
  • 24
    • 33646268062 scopus 로고
    • Successive higher-harmonic bifurcations in systems with delayed feedback
    • Ikeda K., Kondo K., Akimoto O., Successive higher-harmonic bifurcations in systems with delayed feedback. Phys. Rev. Lett. 49:1982;1467-1470.
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1467-1470
    • Ikeda, K.1    Kondo, K.2    Akimoto, O.3
  • 25
    • 0001166865 scopus 로고
    • High-dimensional chaotic behavior in systems with time-delayed feedback
    • Ikeda K., Matsumoto K., High-dimensional chaotic behavior in systems with time-delayed feedback. Physica D. 29:1987;223-235.
    • (1987) Physica D , vol.29 , pp. 223-235
    • Ikeda, K.1    Matsumoto, K.2
  • 27
    • 0001413222 scopus 로고    scopus 로고
    • Mathematical models of hepatopoietic cell replication and control
    • H.G. Othmer, F.R. Adler, M.A. Lewis, J.C. Dallon (Eds.), Prentice-Hall, New Jersey
    • M.C. Mackey, Mathematical models of hepatopoietic cell replication and control, in: H.G. Othmer, F.R. Adler, M.A. Lewis, J.C. Dallon (Eds.), The Art of Mathematical Modelling: Case Studies in Ecology, Physiology and Biofluids, Prentice-Hall, New Jersey, 1997, pp. 149-178.
    • (1997) The Art of Mathematical Modelling: Case Studies in Ecology, Physiology and Biofluids , pp. 149-178
    • Mackey, M.C.1
  • 28
    • 0001842517 scopus 로고
    • Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
    • Mallet-Paret J., Nussbaum R.D., Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation. Annali di Matematica Pura ed Applicata IV. 145:1986;33-128.
    • (1986) Annali di Matematica Pura ed Applicata IV , vol.145 , pp. 33-128
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 29
    • 0003798166 scopus 로고    scopus 로고
    • Theoretical problems in cavity nonlinear optics
    • Cambridge University Press, Cambridge
    • P. Mandel, Theoretical problems in cavity nonlinear optics, in: Cambridge Studies in Modern Optics, Cambridge University Press, Cambridge, 1997.
    • (1997) Cambridge Studies in Modern Optics
    • Mandel, P.1
  • 30
    • 0013287331 scopus 로고    scopus 로고
    • Collision and collapse of layers in a 1D scalar reaction-diffusion equation
    • Morita Y., Mimota Y., Collision and collapse of layers in a 1D scalar reaction-diffusion equation. Physica D. 140:2000;151-170.
    • (2000) Physica D , vol.140 , pp. 151-170
    • Morita, Y.1    Mimota, Y.2
  • 31
    • 0000777067 scopus 로고
    • Observation of bifurcation to chaos in an all-optical bistable system
    • Nakatsuka H., Asaka S., Itoh H., Ikeda K., Matsuoka M., Observation of bifurcation to chaos in an all-optical bistable system. Phys. Rev. Lett. 50:1983;109-112.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 109-112
    • Nakatsuka, H.1    Asaka, S.2    Itoh, H.3    Ikeda, K.4    Matsuoka, M.5
  • 32
    • 0042678021 scopus 로고
    • Analysis of a delay-differential equation in optical bistability
    • Nardone P., Mandel P., Kapral R., Analysis of a delay-differential equation in optical bistability. Phys. Rev. A. 33:1986;2465-2471.
    • (1986) Phys. Rev. A , vol.33 , pp. 2465-2471
    • Nardone, P.1    Mandel, P.2    Kapral, R.3
  • 33
    • 0001706926 scopus 로고
    • Winner-takes-all dynamics and antiphase states in modulated multimode lasers
    • Otsuka K., Winner-takes-all dynamics and antiphase states in modulated multimode lasers. Phys. Rev. Lett. 67:1991;1090-1093.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 1090-1093
    • Otsuka, K.1
  • 34
    • 0005141487 scopus 로고
    • Dynamical spatial-pattern memory in globally coupled lasers
    • Otsuka K., Chern J.-L., Dynamical spatial-pattern memory in globally coupled lasers. Phys. Rev. A. 45:1992;8288-8291.
    • (1992) Phys. Rev. A , vol.45 , pp. 8288-8291
    • Otsuka, K.1    Chern, J.-L.2
  • 35
    • 0000429292 scopus 로고
    • Cooperative dynamics and functions in a collective nonlinear optical element system
    • Otsuka K., Ikeda K., Cooperative dynamics and functions in a collective nonlinear optical element system. Phys. Rev. A. 39:1989;5209-5229.
    • (1989) Phys. Rev. A , vol.39 , pp. 5209-5229
    • Otsuka, K.1    Ikeda, K.2
  • 37
    • 0000337709 scopus 로고
    • Mobility of singularities in the dissipative Ginzburg-Landau equation
    • Pismen L.M., Rodriguez J.D., Mobility of singularities in the dissipative Ginzburg-Landau equation. Phys. Rev. A. 42:1990;2471-2474.
    • (1990) Phys. Rev. A , vol.42 , pp. 2471-2474
    • Pismen, L.M.1    Rodriguez, J.D.2
  • 38
    • 0000569070 scopus 로고
    • Motion of interacting defects in the Ginzburg-Landau model
    • Rodriguez J.D., Pismen L.M., Sirovich L., Motion of interacting defects in the Ginzburg-Landau model. Phys. Rev. A. 44:1991;7980-7984.
    • (1991) Phys. Rev. A , vol.44 , pp. 7980-7984
    • Rodriguez, J.D.1    Pismen, L.M.2    Sirovich, L.3
  • 39
    • 0034206088 scopus 로고    scopus 로고
    • Front propagation in heterogeneous media
    • Xin J., Front propagation in heterogeneous media. SIAM Rev. 42:2000;161-230.
    • (2000) SIAM Rev. , vol.42 , pp. 161-230
    • Xin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.