On chaos synchronization and secure communication

Chaos synchronization, in particular isochronal synchronization of two chaotic trajectories to each other, may be used to build a means of secure communication over a public channel. In this paper, we give an overview of coupling schemes of Bernoulli units deduced from chaotic laser systems, different ways to transmit information by chaos synchronization and the advantage of bidirectional over unidirectional coupling with respect to secure communication. We present the protocol for using dynamical private commutative filters for tap-proof transmission of information that maps the task of a passive attacker to the class of non-deterministic polynomial time-complete problems.

[1]  Wolfgang Kinzel,et al.  Sublattice synchronization of chaotic networks with delayed couplings. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Ulrich Parlitz,et al.  Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers , 1998 .

[3]  Ingo Fischer,et al.  Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication , 2000 .

[4]  Laurent Larger,et al.  Chaos-based communications at high bit rates using commercial fibre-optic links , 2005, Nature.

[5]  Voss,et al.  Anticipating chaotic synchronization , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Raul Vicente,et al.  Zero-lag long-range synchronization via dynamical relaying. , 2006, Physical review letters.

[7]  Wolfgang Kinzel,et al.  Secure Communication with Chaos Synchronization , 2008 .

[8]  Wolfgang Kinzel,et al.  Emergence of zero-lag synchronization in generic mutually coupled chaotic systems , 2008 .

[9]  I Kanter,et al.  Phase synchronization in mutually coupled chaotic diode lasers. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Pulses of chaos synchronization in coupled map chains with delayed transmission. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[12]  K. A. Shore,et al.  Chaos-pass filtering in injection-locked semiconductor lasers. , 2005 .

[13]  Roy,et al.  Communication with chaotic lasers , 1998, Science.

[14]  Wolfgang Kinzel,et al.  Public-channel cryptography based on mutual chaos pass filters , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Wolfgang Kinzel,et al.  Zero-lag synchronization of chaotic units with time-delayed couplings , 2009 .

[16]  Jordi Garcia-Ojalvo,et al.  Synchronization and communication with chaotic laser systems , 2005 .

[17]  Wolfgang Kinzel,et al.  Chaos synchronization with dynamic filters: Two-way is better than one-way , 2008 .

[18]  Wolfgang Kinzel,et al.  Patterns of chaos synchronization. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[20]  Wolfgang Kinzel,et al.  Stable isochronal synchronization of mutually coupled chaotic lasers. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Jayadev Misra,et al.  Phase Synchronization , 1991, Inf. Process. Lett..

[22]  Wolfgang Kinzel,et al.  Public-channel cryptography using chaos synchronization. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

[25]  Wolfgang Kinzel,et al.  Spiking optical patterns and synchronization. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Wolfgang Kinzel,et al.  Synchronization of mutually coupled chaotic lasers in the presence of a shutter. , 2007, Physical review letters.

[27]  Wolfgang Kinzel,et al.  Public channel cryptography: chaos synchronization and Hilbert's tenth problem. , 2008, Physical review letters.

[28]  R. Lang,et al.  External optical feedback effects on semiconductor injection laser properties , 1980 .

[29]  Arkady Pikovsky,et al.  On the interaction of strange attractors , 1984 .

[30]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[31]  S. Giovannoni,et al.  Molecular diversity and ecology of microbial plankton , 2005, Nature.

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