Using synchronization to obtain dynamic logic gates.

We introduce a scheme to obtain key logic-gate structures, using synchronization of nonlinear systems. We demonstrate the idea explicitly by numerics and experiments on nonlinear circuits. A significant feature of this scheme is that a single nonlinear drive-response circuit can be used to flexibly yield the different logic gates, and switch logic behavior by small changes in the parameter of the response system; so the response system can act as a "logic output controller." Thus this scheme may help to construct dynamic general-purpose computational hardware with reconfigurable abilities.

[1]  Shawn D. Pethel,et al.  New Method for the Control of Fast Chaotic Oscillations , 1999 .

[2]  Daniel J. Gauthier,et al.  Controlling chaos in a fast diode resonator using extended time-delay autosynchronization: Experimental observations and theoretical analysis. , 1997, Chaos.

[3]  William L. Ditto,et al.  Chaos computing: implementation of fundamental logical gates by chaotic elements , 2002 .

[4]  Sudeshna Sinha,et al.  Flexible parallel implementation of logic gates using chaotic elements. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Morris Mano,et al.  Computer system architecture (3. ed.) , 1993 .

[6]  Fischer,et al.  Fast pulsing and chaotic itinerancy with a drift in the coherence collapse of semiconductor lasers. , 1996, Physical review letters.

[7]  M. Lakshmanan,et al.  Chaos in Nonlinear Oscillators: Controlling and Synchronization , 1996 .

[8]  Grebogi,et al.  Communicating with chaos. , 1993, Physical review letters.

[9]  W L Ditto,et al.  Computing with distributed chaos. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Sudeshna Sinha,et al.  Parallel computing with extended dynamical systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Rajarshi Roy,et al.  Fast intracavity polarization dynamics of an erbium-doped fiber ring laser: Inclusion of stochastic effects , 1997 .

[12]  M. Morris Mano,et al.  Computer system architecture , 1982 .

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

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

[15]  Michael J. Adams,et al.  Optoelectronic realisation of NOR logic gate using chaotic two-section lasers , 2005 .

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

[17]  Daniel J Gauthier,et al.  Controlling fast chaos in delay dynamical systems. , 2004, Physical review letters.

[18]  D. Gauthier,et al.  High-speed chaos in an optical feedback system with flexible timescales , 2003, IEEE Journal of Quantum Electronics.

[19]  Robin Bargar,et al.  Circuits for voltage tuning the parameters of Chua's circuit: Experimental application for musical signal generation , 1994 .

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

[21]  S Bains A Subtler Silicon Cell for Neural Networks , 1997, Science.

[22]  William L. Ditto,et al.  Implementation of nor Gate by a Chaotic Chua's Circuit , 2003, Int. J. Bifurc. Chaos.

[23]  William L. Ditto,et al.  DYNAMICS BASED COMPUTATION , 1998 .