Cyclic Evolution of Neuronal Automata with Memory When All the Weighting Coefficients are Strictly Positive

@article{Ndoundam2000CyclicEO,
  title={Cyclic Evolution of Neuronal Automata with Memory When All the Weighting Coefficients are Strictly Positive},
  author={Ren{\'e} Ndoundam and Mart{\'i}n Matamala},
  journal={Complex Systems},
  year={2000},
  volume={12}
}
In this paper we study the sequences generated by a neuronal equation of the form xn " 1[!ki"1 aixn#i # Θ], where k is the size of the memory. We show that in the case where all the parameters (ai)1%i%k are strictly positive reals and k is a multiple of 6 (i.e., k " 6m), there exists a subset B " &w1, w2, . . . , wΑ( of &1, 2, . . . , m # 1( and for which there exists a neuronal equation of memory lengthΑk (i.e., k " 6m) with strictly positive weighting coefficients that generates a sequence of… CONTINUE READING

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