Title
Properties of variations in the periods of ring neural oscillators with noise
Abstract
Effects of additive noise on a series of the periods of oscillations in unidirectionally coupled ring neural networks of ring oscillator type are studied. Kinematical models of the traveling waves of an inconsistency, i.e. the successive same signs in the states of adjacent neurons in the network, are derived. A series of the half periods in the network of N neuron is then expressed by the sum of N sequences of the N-first order autoregressive process, the process with the spectrum of exponential type and the first-order autoregressive process. Noise and the interaction of the inconsistency cause characteristic positive correlations in a series of the half periods of the oscillations. Further, an experiment on an analog circuit of the ring neural oscillator was done and it is shown that correlations in the obtained periods of the oscillations agree with the derived three expressions.
Year
DOI
Venue
2009
10.1016/j.neucom.2009.05.011
Neurocomputing
Keywords
Field
DocType
exponential type,n-first order autoregressive process,ring neural network,ring oscillator type,first-order autoregressive process,n sequence,n neuron,additive noise,half period,ring neural oscillator,oscillations,autoregressive process,correlation,neural network,first order,spectrum,analog circuits,traveling wave,ring oscillator,time series,noise
Autoregressive model,Discrete mathematics,Ring oscillator,Oscillation,Traveling wave,Expression (mathematics),Pattern recognition,Mathematical analysis,Artificial intelligence,Artificial neural network,Exponential type,Mathematics
Journal
Volume
Issue
ISSN
72
16-18
Neurocomputing
Citations 
PageRank 
References 
1
0.37
7
Authors
2
Name
Order
Citations
PageRank
Yo Horikawa15011.88
Hiroyuki Kitajima2499.35