Complex dynamic behavior in a model of electro-optic device with time-delayed feedback

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 6, 1998, Pages 1347-1354

  Shobukhov, Andrew V ^a,b  

^a INDEPENDENT UNIVERSITY   (Bangladesh)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032094212     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498001042     Document Type: Article

References (13)

1. Antipov, O. L. & Trofimov, V. A. et al. [1995] "Dynamics of the self-pumped phase conjugation of a light beam in a Kerr-like layer with reciprocal and nonreciprocal feedbacks," Technical Digest of Conf. Lasers and Electro-Optics (CLEO), Baltimore, USA, CTh I66, 331-332.
2. Fürstenau, N. & Schmidt, W. [1995] "Fiber-optic interferometric strain gauge producing asymmetric fringes by using nonlinear feedback," IEEE J. Quantum Electron. 31, 1461-1464.
3. Gibbs, H. M. et al. [1981] "Observation of chaos in optical bistability," Phys. Rev. Lett. 46, 474-477.
4. Hale, J. K. [1971] Functional Differential Equations, Applied Mathematical Sciences 3 (Springer-Verlag, New York).
5. Hassard, B. D., Kasarinoff, N. D. & Wan, Y.-H. [1981] "Theory and applications of Hopf bifurcation," Mathematical Society Lecture Note Series 41 (Cambridge University Press, London).
6. Ikeda, K. [1979] "Multiple-valued stationary state and its instability," Opt. Commun. 30, 257-261.
7. Kubicek, M. [1980] "Algorithm for evaluation of complex bifurcation points in ordinary differential equations," SIAM J. Appl. Math. 38, 103-107.
8. Kunitsin, S. D., Sukhorukov, A. P. & Trofimov, V. A. [1993] "Self-sustained oscillations of a wave beam reflected from a nonlinear layer at low incidence angles," Bull. Russ. Acad. Sci. Phys./Phys. Vibrations 57(4), 184-188.
9. Morris, H. C. [1976] "A pertubative approach to periodic solutions of delay-differential equations," J. Inst. Math. Appl. 18, 15-24.
10. Okada, M. & Takizawa, K. [1981] "Instability of an electro-optic bistable device with a delayed feedback," IEEE J. Quantum Electron. QE-17, 2135-2140.
11. Parker, T. S. & Chua, L. O. [1987] "Chaos: A tutorial for engineers," Proc. IEEE 75(8), 982-1007.
12. Rodriguez-Vazquez, A., Huertas, J. L., Rueda, A., Perez-Verdu, B. & Chua, L. O. [1987] "Chaos from switched-capacitor circuits: Discrete maps," Proc. IEEE 75(8), 1090-1093.
13. Samarskii, A. A. & Goolin, A. V. [1989] Numerical Methods (in Russian), Nauka, Moscow.