Computing with excitable systems in a noisy environment.

In this work we show that excitable units with biologically inspired couplings are capable of performing any logic operation in a noisy environment without synchronization.

[1]  Distribution of interspike times in noise-driven excitable systems , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Richard Hans Robert Hahnloser,et al.  Digital selection and analogue amplification coexist in a cortex-inspired silicon circuit , 2000, Nature.

[3]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[4]  E. D. Weinberger,et al.  Chemical implementation of finite-state machines. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[6]  A Hjelmfelt,et al.  Chemical implementation of neural networks and Turing machines. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[7]  P. Hänggi,et al.  Reaction-rate theory: fifty years after Kramers , 1990 .

[8]  M. Magnasco.  CHEMICAL KINETICS IS TURING UNIVERSAL , 1997 .

[9]  R. FitzHugh.  Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[10]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[11]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[12]  J. Ross,et al.  Chemical implementation and thermodynamics of collective neural networks. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Gabriel B. Mindlin,et al.  Interspike Time Distribution in Noise Driven Excitable Systems , 1999 .