A CMOS nonlinear-map circuit array for threshold-coupled chaotic maps using pulse-modulation approach

As one of adaptive lattice dynamics, a nonlinear dynamical model with threshold activated coupling has been proposed by S. Sinha since 1994. In this model, each lattice site performs an arbitrary nonlinear transformation and thresholding. The excess of an output over the threshold is transported to the neighboring lattice site(s). This dynamics generates various spatiotemporal patterns. S. Sinha, et al. have also proposed the applications of this model to computing using nonlinear dynamics. In this paper, we propose a CMOS LSI chip designed using a pulse modulation approach for this model. The chip includes 30×30 nonlinear-map element circuits, each of which corresponds to a lattice site. The measurement results using the fabricated LSI chip demonstrate that the designed circuit successfully performs arbitrary nonlinear transformation and thresholding

[1]  Ronald Tetzlaff,et al.  18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems , 2010 .

[2]  Daisuke Atuti,et al.  A Current-Sampling-Mode CMOS Arbitrary Chaos Generator Circuit Using Pulse Modulation Approach , 2009, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[3]  Kazuyuki Aihara,et al.  Asynchronous updating of threshold-coupled chaotic neurons , 2008 .

[4]  Sudeshna Sinha,et al.  Spatiotemporal consequences of relaxation time scales in threshold-coupled systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Takashi Morie,et al.  Pulse Modulation Techniques for Nonlinear Dynamical Systems and a CMOS Chaos Circuit with Arbitrary 1-D Maps , 2004 .

[6]  S. Sinha.  Consequences of nonlocal connections in networks of chaotic maps under threshold activated coupling. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[8]  T. Morie,et al.  CMOS circuits generating arbitrary chaos by using pulsewidthmodulation techniques , 2000 .

[9]  Sudeshna Sinha,et al.  Chaos and regularity in adaptive lattice dynamics , 1995 .

[10]  Sinha.  Unidirectional adaptive dynamics. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.