In this paper, synchronization of multiple chaotic
semiconductor lasers is achieved by appealing to complex system
theory. In particular, we consider dynamical networks composed by
semiconductor laser, as interconnected nodes, where the interaction
in the networks are defined by coupling the first state of each node.
An interest case is synchronized with master-slave configuration in
star topology. Nodes of these networks are modeled for the laser and
simulate by Matlab. These results are applicable to private
communication.
[1] L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems, Phys.
Rev. Lett. 64 (1990) 821–824.
[2] C. Cruz-Hernandez, H. Nijmeijer, Synchronization through filtering, Int.
J. Bifurcat. Chaos 10 (4) (2000) 763–775.
[3] H. Sira-Ram´ırez, C. Cruz-Hernandez, Synchronization of chaotic
systems: a generalized Hamiltonian systems approach, Int. Bifurcat.
Chaos 11 (5) (2001) 1381–1395.
[4] D. Lopez-Mancilla, C. Cruz-Hernandez, Output synchronization of
chaotic systems: model-matching approach with application to secure
communication, Nonlinear Dyn. Syst. Theory 5 (2) (2005) 141–156.
[5] U. Feldmann, M. Hasler, W. Schwarz, Communication by chaotic
signals: the inverse system approach, Int. J. Circ. Theory Appl. 24 (5)
(1996) 551–579.
[6] H. Nijmeijer, I.M.Y. Mareels, An observer looks at synchronization,
IEEE Trans. Circ. Syst. I 44 (10) (1997) 882–890.
[7] A. Boukabou, On nonlinear control and synchronization design for
autonomous chaotic systems, Nonlinear Dyn. Syst. Theory 8 (2) (2008)
151–167.
[8] C. Cruz-Hernandez, A.A. Martynyuk, Advances in Chaotic Dynamics
with Applications, vol. 4, Cambridge Scientific Publishers, London,
2010.
[9] K.M. Cuomo, A.V. Oppenheim, Circuit implementation of synchronized
chaos with applications to communications, Phys. Rev. Lett. 71 (1993)
65–68.
[10] C. Cruz-Hernandez, D. Lopez-Mancilla, V. Garcı´ a, H. Serrano, R.
Núñez, Experimental realization of binary signal transmission using
chaos, J. Circ. Syst. Comput. 14 (3) (2005) 453–468.
[11] C. Cruz-Hernandez, Synchronization of time-delay Chua’s oscillator
with application to secure communication, Nonlinear Dyn. Syst. Theory
4 (1) (2004) 1–13.
[12] C. Posadas-Castillo, R.M. Lopez-Gutierrez, C. Cruz-Hernandez,
Synchronization of chaotic solid-state Nd:YAG lasers: application to
secure communication, Commun. Nonlinear Sci. Numer. Simul. 13 (8)
(2008) 1655–1667.
[13] L. Gamez-Guzman, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, E.E.
Garcia-Guerrero, Synchronization of Chua’s circuits with multi-scroll
attractors: application to communication, Commun. Nonlinear Sci.
Numer. Simul. 14 (6) (2009) 2765–2775.
[14] C. Cruz-Hernandez, N. Romero-Haros, Communicating via
synchronized timedelay Chua’s circuits, Commun. Nonlinear Sci.
Numer. Simul. 13 (3) (2008) 645–659.
[15] K. Kusumot, J. Ohtsubo, 1.5-GHz message transmission based on
synchronization of chaos in semiconductor lasers, Opt. Lett. 27 (2002)
989–991.
[16] M.W. Lee, J. Paul, S. Sivaprakasam, K.A. Shore, Comparison of closedloop
and open-loop feedback schemes of message decoding using
chaotic laser diodes, Opt. Lett. 28 (2003) 2168–2170.
[17] J. Paul, S. Sivaprakasam, K.A. Shore, Dual-channel chaotic optical
communications using external-cavity semiconductor lasers, J. Opt. Soc.
Am. B 21 (2004) 514–521.
[18] Madan RN, (Guest Ed.). Chua’s Circuit: A Paradigm for Chaos, World
Scientific, 1993.
[19] M.P. Kennedy, Robust Op-Amp realization of Chua’s circuit, Frequenz
46 (34) (1992) 66–80.
[20] B. Muthuswamy, L.O. Chua, Simplest chaotic circuit, Int. J. Bifurcat.
Chaos 20 (5) (2010) 1567–1580.
[21] J. Lu, R. Chen, Generating multiscroll chaotic attractors: theories,
methods and applications, Int. J. Bifurcat. Chaos 16 (4) (2006) 775–858.
[22] L. Cardoza-Avendano, V. Spirin, R.M. Lopez-Guti errez, C.A. Lopez-
Mercado, C. Cruz-Hernandez, Experimental characterization of DFB
and FP chaotic lasers with strong incoherent optical feedback, Opt.
Laser Technol. 43 (5) (2011) 949–955.
[23] V. Spirin, C.A. Lopez-Mercado, S.V. Miridonov, L. Cardoza-Avendano,
R.M. Lopez-Gutierrez, C. Cruz-Hernandez, Elimination of lowfrequency
fluctuations of backscattered Rayleigh radiation from optical
fiber with chaotic lasers, Opt. Fiber Technol. 17 (2011) 258–261.
[24] S. Tang, J.M. Liu, Chaotic pulsing and quasi-periodic route to chaos in a
semiconductor laser with delayed opto-electronic feedback, IEEE J.
Quantum Electron. 37 (2001) 329–336.
[25] Yuncai Anbang Wang, He Wang Hucheng, Enhancing the bandwidth of
the optical chaotic signal generated by a semiconductor laser with
optical feedback, IEEE Photon. Technol. Lett. 20 (2008) 1633–1635.
[26] A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I.
Fischer, Garcia-Ojalvo, C.R. Mirasso, L. Pesquera, K.A. Shore, Chaosbased
communications at high bit rates using commercial fibre-optic
links, Nature 438 (7066) (2005) 343–346.
[27] X.F. Wang, G. Chen, Synchronization in small-world dynamical
networks, Int. J. Bifurcat. Chaos 12 (1) (2002) 187–192.
[28] X.F. Wang, Complex networks: topology, dynamics and
synchronization, Int. J. Bifurcat. Chaos 12 (5) (2002) 885–916.
[29] C. Posadas-Castillo, C. Cruz-Hernandez, R.M. Lopez-Gutierrez,
Experimental realization of synchronization in complex networks with
Chua’s circuits like nodes, Chaos Solitons Fractals 40 (4) (2009) 1963–
1975. [30] R.M. Lopez-Gutierrez, C. Posadas-Castillo, D. Lopez-Mancilla, C.
Cruz-Hernandez, Communicating via robust synchronization of chaotic
lasers, Chaos Solitons Fractals 42 (1) (2009) 277–285.
[31] C. Posadas-Castillo, C. Cruz-Hern andez, R.M. Lopez Gutierrez.
Synchronization of 3D CNNs in irregulars arrays, in: Procs. of the 16th
Mediterranean Conference on Control and Automation, June 25–27,
Ajaccio, France, 2008, pp. 321–325.
[32] C. Posadas-Castillo, C. Cruz-Herna ndez, R.M. Lopez-Gutierrez,
Synchronization of chaotic neural networks with delay in irregular
networks, Appl. Math. Comput. 205 (1) (2008) 487–496.
[33] H. Serrano-Guerrero, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, C.
Posadas-Castillo, E. Inzunza-Gonzalez, Chaotic synchronization in star
coupled networks of three-dimensional cellular neural networks and its
application in communications, Int. J. Nonlinear Sci. Numer. Simul. 11
(8) (2010) 571–580.
[34] G. P. Agrawal, "Effect of Gain Nonlinearities on Period Doubling and
Chaos in Directly Modulated Semiconductor Lasers," Applied Physics
Letters, 49(16), 1986 pp. 1013–1015.
[1] L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems, Phys.
Rev. Lett. 64 (1990) 821–824.
[2] C. Cruz-Hernandez, H. Nijmeijer, Synchronization through filtering, Int.
J. Bifurcat. Chaos 10 (4) (2000) 763–775.
[3] H. Sira-Ram´ırez, C. Cruz-Hernandez, Synchronization of chaotic
systems: a generalized Hamiltonian systems approach, Int. Bifurcat.
Chaos 11 (5) (2001) 1381–1395.
[4] D. Lopez-Mancilla, C. Cruz-Hernandez, Output synchronization of
chaotic systems: model-matching approach with application to secure
communication, Nonlinear Dyn. Syst. Theory 5 (2) (2005) 141–156.
[5] U. Feldmann, M. Hasler, W. Schwarz, Communication by chaotic
signals: the inverse system approach, Int. J. Circ. Theory Appl. 24 (5)
(1996) 551–579.
[6] H. Nijmeijer, I.M.Y. Mareels, An observer looks at synchronization,
IEEE Trans. Circ. Syst. I 44 (10) (1997) 882–890.
[7] A. Boukabou, On nonlinear control and synchronization design for
autonomous chaotic systems, Nonlinear Dyn. Syst. Theory 8 (2) (2008)
151–167.
[8] C. Cruz-Hernandez, A.A. Martynyuk, Advances in Chaotic Dynamics
with Applications, vol. 4, Cambridge Scientific Publishers, London,
2010.
[9] K.M. Cuomo, A.V. Oppenheim, Circuit implementation of synchronized
chaos with applications to communications, Phys. Rev. Lett. 71 (1993)
65–68.
[10] C. Cruz-Hernandez, D. Lopez-Mancilla, V. Garcı´ a, H. Serrano, R.
Núñez, Experimental realization of binary signal transmission using
chaos, J. Circ. Syst. Comput. 14 (3) (2005) 453–468.
[11] C. Cruz-Hernandez, Synchronization of time-delay Chua’s oscillator
with application to secure communication, Nonlinear Dyn. Syst. Theory
4 (1) (2004) 1–13.
[12] C. Posadas-Castillo, R.M. Lopez-Gutierrez, C. Cruz-Hernandez,
Synchronization of chaotic solid-state Nd:YAG lasers: application to
secure communication, Commun. Nonlinear Sci. Numer. Simul. 13 (8)
(2008) 1655–1667.
[13] L. Gamez-Guzman, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, E.E.
Garcia-Guerrero, Synchronization of Chua’s circuits with multi-scroll
attractors: application to communication, Commun. Nonlinear Sci.
Numer. Simul. 14 (6) (2009) 2765–2775.
[14] C. Cruz-Hernandez, N. Romero-Haros, Communicating via
synchronized timedelay Chua’s circuits, Commun. Nonlinear Sci.
Numer. Simul. 13 (3) (2008) 645–659.
[15] K. Kusumot, J. Ohtsubo, 1.5-GHz message transmission based on
synchronization of chaos in semiconductor lasers, Opt. Lett. 27 (2002)
989–991.
[16] M.W. Lee, J. Paul, S. Sivaprakasam, K.A. Shore, Comparison of closedloop
and open-loop feedback schemes of message decoding using
chaotic laser diodes, Opt. Lett. 28 (2003) 2168–2170.
[17] J. Paul, S. Sivaprakasam, K.A. Shore, Dual-channel chaotic optical
communications using external-cavity semiconductor lasers, J. Opt. Soc.
Am. B 21 (2004) 514–521.
[18] Madan RN, (Guest Ed.). Chua’s Circuit: A Paradigm for Chaos, World
Scientific, 1993.
[19] M.P. Kennedy, Robust Op-Amp realization of Chua’s circuit, Frequenz
46 (34) (1992) 66–80.
[20] B. Muthuswamy, L.O. Chua, Simplest chaotic circuit, Int. J. Bifurcat.
Chaos 20 (5) (2010) 1567–1580.
[21] J. Lu, R. Chen, Generating multiscroll chaotic attractors: theories,
methods and applications, Int. J. Bifurcat. Chaos 16 (4) (2006) 775–858.
[22] L. Cardoza-Avendano, V. Spirin, R.M. Lopez-Guti errez, C.A. Lopez-
Mercado, C. Cruz-Hernandez, Experimental characterization of DFB
and FP chaotic lasers with strong incoherent optical feedback, Opt.
Laser Technol. 43 (5) (2011) 949–955.
[23] V. Spirin, C.A. Lopez-Mercado, S.V. Miridonov, L. Cardoza-Avendano,
R.M. Lopez-Gutierrez, C. Cruz-Hernandez, Elimination of lowfrequency
fluctuations of backscattered Rayleigh radiation from optical
fiber with chaotic lasers, Opt. Fiber Technol. 17 (2011) 258–261.
[24] S. Tang, J.M. Liu, Chaotic pulsing and quasi-periodic route to chaos in a
semiconductor laser with delayed opto-electronic feedback, IEEE J.
Quantum Electron. 37 (2001) 329–336.
[25] Yuncai Anbang Wang, He Wang Hucheng, Enhancing the bandwidth of
the optical chaotic signal generated by a semiconductor laser with
optical feedback, IEEE Photon. Technol. Lett. 20 (2008) 1633–1635.
[26] A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I.
Fischer, Garcia-Ojalvo, C.R. Mirasso, L. Pesquera, K.A. Shore, Chaosbased
communications at high bit rates using commercial fibre-optic
links, Nature 438 (7066) (2005) 343–346.
[27] X.F. Wang, G. Chen, Synchronization in small-world dynamical
networks, Int. J. Bifurcat. Chaos 12 (1) (2002) 187–192.
[28] X.F. Wang, Complex networks: topology, dynamics and
synchronization, Int. J. Bifurcat. Chaos 12 (5) (2002) 885–916.
[29] C. Posadas-Castillo, C. Cruz-Hernandez, R.M. Lopez-Gutierrez,
Experimental realization of synchronization in complex networks with
Chua’s circuits like nodes, Chaos Solitons Fractals 40 (4) (2009) 1963–
1975. [30] R.M. Lopez-Gutierrez, C. Posadas-Castillo, D. Lopez-Mancilla, C.
Cruz-Hernandez, Communicating via robust synchronization of chaotic
lasers, Chaos Solitons Fractals 42 (1) (2009) 277–285.
[31] C. Posadas-Castillo, C. Cruz-Hern andez, R.M. Lopez Gutierrez.
Synchronization of 3D CNNs in irregulars arrays, in: Procs. of the 16th
Mediterranean Conference on Control and Automation, June 25–27,
Ajaccio, France, 2008, pp. 321–325.
[32] C. Posadas-Castillo, C. Cruz-Herna ndez, R.M. Lopez-Gutierrez,
Synchronization of chaotic neural networks with delay in irregular
networks, Appl. Math. Comput. 205 (1) (2008) 487–496.
[33] H. Serrano-Guerrero, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, C.
Posadas-Castillo, E. Inzunza-Gonzalez, Chaotic synchronization in star
coupled networks of three-dimensional cellular neural networks and its
application in communications, Int. J. Nonlinear Sci. Numer. Simul. 11
(8) (2010) 571–580.
[34] G. P. Agrawal, "Effect of Gain Nonlinearities on Period Doubling and
Chaos in Directly Modulated Semiconductor Lasers," Applied Physics
Letters, 49(16), 1986 pp. 1013–1015.
@article{"International Journal of Electrical, Electronic and Communication Sciences:70963", author = "R. M. López-Gutiérrez and L. Cardoza-Avendaño and H. Cervantes-De Ávila and J. A. Michel-Macarty and C. Cruz-Hernández and A. Arellano-Delgado and R. Carmona-Rodríguez", title = "Synchronization of Semiconductor Laser Networks", abstract = "In this paper, synchronization of multiple chaotic
semiconductor lasers is achieved by appealing to complex system
theory. In particular, we consider dynamical networks composed by
semiconductor laser, as interconnected nodes, where the interaction
in the networks are defined by coupling the first state of each node.
An interest case is synchronized with master-slave configuration in
star topology. Nodes of these networks are modeled for the laser and
simulate by Matlab. These results are applicable to private
communication.", keywords = "Synchronization, chaotic laser, network.", volume = "9", number = "8", pages = "935-5", }
