Coupling scheme for complete synchronization of periodically forced chaotic CO2 lasers.

We present a way of coupling two nonautonomous, periodically forced, chaotic C O2 lasers in a master-slave configuration in order to achieve complete synchronization. The method consists of modulating the forcing of the slave laser by means of the difference between the intensities of the two lasers, and lends itself to a simple physical implementation. Experimental evidence of complete synchronization induced by a suitable coupling strength is shown, and a numerical model is used to achieve further insight of the synchronization phenomena. Finally, we describe a possible application of the investigated technique to the design of a digital communication system.

[1]  K. Shore,et al.  Lag times and parameter mismatches in synchronization of unidirectionally coupled chaotic external cavity semiconductor lasers. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Atsushi Uchida,et al.  Generalized synchronization of chaos in identical systems with hidden degrees of freedom. , 2003, Physical review letters.

[3]  A. Uchida,et al.  Synchronization of chaos in microchip lasers by using incoherent feedback. , 2002 .

[4]  J. Yorke,et al.  CHAOTIC ATTRACTORS IN CRISIS , 1982 .

[5]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Ira B. Schwartz,et al.  Global manifold control in a driven laser: sustaining chaos and regular dynamics , 2004 .

[7]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[8]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[9]  Ljupco Kocarev,et al.  General approach for chaotic synchronization with applications to communication. , 1995, Physical review letters.

[10]  Bernd Blasius,et al.  Complex dynamics and phase synchronization in spatially extended ecological systems , 1999, Nature.

[11]  H H Abel,et al.  Synchronization in the human cardiorespiratory system. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  S. Boccaletti,et al.  Synchronization of chaotic systems , 2001 .

[13]  Silvano Donati,et al.  Synchronization of chaotic injected-laser systems and its application to optical cryptography , 1996 .

[14]  Steven H. Strogatz,et al.  Sync: The Emerging Science of Spontaneous Order , 2003 .

[15]  R Meucci,et al.  Stabilization of unstable fixed points in the dynamics of a laser with feedback. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  P Colet,et al.  Digital communication with synchronized chaotic lasers. , 1994, Optics letters.

[17]  S. Boccaletti,et al.  Frequency entrainment of nonautonomous chaotic oscillators. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Lewi Stone,et al.  Chaos and phase Synchronization in Ecological Systems , 2000, Int. J. Bifurc. Chaos.

[19]  Norman R. Heckenberg,et al.  EXPERIMENTAL EVIDENCE OF FREQUENCY ENTRAINMENT BETWEEN COUPLED CHAOTIC OSCILLATIONS , 1998 .

[20]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[21]  Parlitz,et al.  Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. , 1996, Physical review letters.

[22]  A N Pisarchik,et al.  Synchronization effects in a dual-wavelength class-B laser with modulated losses. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Atsushi Murakami Synchronization of chaos due to linear response in optically driven semiconductor lasers. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Chern.,et al.  Synchronization of mutually coupled self-mixing modulated lasers , 2000, Physical review letters.

[25]  S Boccaletti,et al.  Information encoding in homoclinic chaotic systems. , 2001, Chaos.

[26]  Kestutis Pyragas Predictable chaos in slightly perturbed unpredictable chaotic systems , 1993 .

[27]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.