메뉴 건너뛰기




Volumn 34, Issue 4, 1998, Pages 594-600

Chaotic oscillator in wavelength: A new setup for investigating differential difference equations describing nonlinear dynamics

Author keywords

Chaos; Delay systems; Distributed Bragg reflector lasers; Dynamics; Nonlinear difference equations; Nonlinear differential equations; Optical frequency conversion; Optical oscillators

Indexed keywords


EID: 0001159286     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.663432     Document Type: Article
Times cited : (55)

References (21)
  • 1
    • 0018508810 scopus 로고
    • Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system
    • Aug.
    • K. Ikeda, "Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system," Opt. Commun., vol. 30, no. 2, pp. 257-261, Aug. 1979.
    • (1979) Opt. Commun. , vol.30 , Issue.2 , pp. 257-261
    • Ikeda, K.1
  • 2
    • 0001166865 scopus 로고
    • High-dimensional chaotic behavior in systems with time-delayed feedback
    • K. Ikeda and K. Matsumoto, "High-dimensional chaotic behavior in systems with time-delayed feedback," Physica D, vol. 29, pp. 223-235, 1987.
    • (1987) Physica D , vol.29 , pp. 223-235
    • Ikeda, K.1    Matsumoto, K.2
  • 3
    • 33646268062 scopus 로고
    • Successive higher-harmonic bifurcations in systems with delayed feedback
    • Nov.
    • K. Ikeda, K. Kondo, and O. Akimoto, "Successive higher-harmonic bifurcations in systems with delayed feedback," Phys. Rev. Lett., vol. 49, no. 20, pp. 1467-1470, Nov. 1982.
    • (1982) Phys. Rev. Lett. , vol.49 , Issue.20 , pp. 1467-1470
    • Ikeda, K.1    Kondo, K.2    Akimoto, O.3
  • 4
    • 0000800369 scopus 로고
    • Bifurcation to chaos in optical bistability
    • Apr.
    • F. A. Hopf, D. L. Kaplan, H. M. Gibbs, and R. L. Schoemacker, "Bifurcation to chaos in optical bistability," Phys. Rev. A, vol. 25, no. 4, pp. 2172-2182, Apr. 1982.
    • (1982) Phys. Rev. A , vol.25 , Issue.4 , pp. 2172-2182
    • Hopf, F.A.1    Kaplan, D.L.2    Gibbs, H.M.3    Schoemacker, R.L.4
  • 5
    • 84989002454 scopus 로고
    • Observation of chaos in optical bistability
    • Feb.
    • H. M. Gibbs, F. A. Hopf, D. L. Kaplan, and R. L. Schoemacker, "Observation of chaos in optical bistability," Phys. Rev. Lett., vol. 46, no. 7, pp. 474-477, Feb. 1981.
    • (1981) Phys. Rev. Lett. , vol.46 , Issue.7 , pp. 474-477
    • Gibbs, H.M.1    Hopf, F.A.2    Kaplan, D.L.3    Schoemacker, R.L.4
  • 7
    • 0022118199 scopus 로고
    • Mode description of the dynamical evolution of an acousto-optic bistable device
    • Sept.
    • R. Vallée and C. Delisle, "Mode description of the dynamical evolution of an acousto-optic bistable device," IEEE J. Quantum Electron., vol. QE-21, pp. 1423-1428, Sept. 1985.
    • (1985) IEEE J. Quantum Electron. , vol.QE-21 , pp. 1423-1428
    • Vallée, R.1    Delisle, C.2
  • 8
    • 0010766147 scopus 로고
    • Route to chaos in an acousto-optic bistable device
    • Apr.
    • _, "Route to chaos in an acousto-optic bistable device," Phys. Rev. A, vol. 31, no. 4, pp. 2390-2394, Apr. 1985.
    • (1985) Phys. Rev. A , vol.31 , Issue.4 , pp. 2390-2394
  • 9
    • 0020802810 scopus 로고
    • Self-pulsing and chaos in acoustooptic bistability
    • J. Chrostowski, R. Vallée, and C. Delisle, "Self-pulsing and chaos in acoustooptic bistability," Can. J. Phys., vol. 61, pp. 1143-1148, 1983.
    • (1983) Can. J. Phys. , vol.61 , pp. 1143-1148
    • Chrostowski, J.1    Vallée, R.2    Delisle, C.3
  • 10
    • 49049134700 scopus 로고
    • Chaotic attractor of an infinite-dimensional dynamical system
    • J. D. Farmer, "Chaotic attractor of an infinite-dimensional dynamical system," Physica D, vol. 4, pp. 366-370, 1982.
    • (1982) Physica D , vol.4 , pp. 366-370
    • Farmer, J.D.1
  • 12
    • 28744446094 scopus 로고
    • Dynamic system driven by a retarded force acting as colored noise
    • June
    • M. Le Berre, E. Ressayre, A. Tallet, and Y. Pomeau, "Dynamic system driven by a retarded force acting as colored noise," Phys. Rev. A, vol. 41, no. 12, pp. 6635-6646, June 1990.
    • (1990) Phys. Rev. A , vol.41 , Issue.12 , pp. 6635-6646
    • Le Berre, M.1    Ressayre, E.2    Tallet, A.3    Pomeau, Y.4
  • 13
    • 0003013498 scopus 로고
    • High-dimension chaotic attractor of a nonlinear ring cavity
    • Jan.
    • M. Le Berre, E. Ressayre, A. Tallet, and H. M. Gibbs, "High-dimension chaotic attractor of a nonlinear ring cavity," Phys. Rev. Lett., vol. 56, no. 4, pp. 274-277, Jan. 1986.
    • (1986) Phys. Rev. Lett. , vol.56 , Issue.4 , pp. 274-277
    • Le Berre, M.1    Ressayre, E.2    Tallet, A.3    Gibbs, H.M.4
  • 14
    • 0008203123 scopus 로고
    • Conjecture on the dimension of chaotic attractors of delayed-feedback dynamical systems
    • May
    • M. Le Berre, E. Ressayre, A. Tallet, H. M. Gibbs, D. L. Kaplan, and M. H. Rose, "Conjecture on the dimension of chaotic attractors of delayed-feedback dynamical systems," Phys. Rev. A, vol. 35, no. 9, pp. 4020-4022, May 1987.
    • (1987) Phys. Rev. A , vol.35 , Issue.9 , pp. 4020-4022
    • Le Berre, M.1    Ressayre, E.2    Tallet, A.3    Gibbs, H.M.4    Kaplan, D.L.5    Rose, M.H.6
  • 15
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • June
    • R. May, "Simple mathematical models with very complicated dynamics," Nature, vol. 261, pp. 459-467, June 1976.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 16
    • 11944261590 scopus 로고
    • Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system vectorial nonlinear dynamics in lasers with one or two stable eigenstates
    • Mar.
    • R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, "Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system vectorial nonlinear dynamics in lasers with one or two stable eigenstates," Phys. Rev. Lett., vol. 68, no. 9, pp. 1259-1262, Mar. 1992.
    • (1992) Phys. Rev. Lett. , vol.68 , Issue.9 , pp. 1259-1262
    • Roy, R.1    Murphy, T.W.2    Maier, T.D.3    Gills, Z.4    Hunt, E.R.5
  • 17
    • 0028409029 scopus 로고
    • Vectorial nonlinear dynamics in lasers with one or two stable eigenstates
    • Apr.
    • J.-C. Corvette, F. Bretenaker, A. Le Floch, and P. Glorieux, "Vectorial nonlinear dynamics in lasers with one or two stable eigenstates," Phys. Rev. A, vol. 49, no. 4, pp. 2868-2880, Apr. 1994.
    • (1994) Phys. Rev. A , vol.49 , Issue.4 , pp. 2868-2880
    • Corvette, J.-C.1    Bretenaker, F.2    Le Floch, A.3    Glorieux, P.4
  • 20
    • 0001816458 scopus 로고
    • Quantitative universality for a class of nonlinear transformation
    • M. J. Feigenbaum, "Quantitative universality for a class of nonlinear transformation," J. Stat. Phys., vol. 19, p. 25, 1978.
    • (1978) J. Stat. Phys. , vol.19 , pp. 25
    • Feigenbaum, M.J.1
  • 21
    • 0000273232 scopus 로고
    • Instabilités et chaos
    • Tresser and Coullet, "Instabilités et chaos," C. R. Acad. Sci., vol. 278A, pp. 577-585, 1978.
    • (1978) C. R. Acad. Sci. , vol.278 A , pp. 577-585
    • Tresser1    Coullet2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.