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above gives c 2 = 2c 1 =(c 1 +(2?c 1)). Clearly, c 2 is proportional to the reciprocal of the ratio. Thus, when is small, can be taken larger than when is large. This may be used to evolve the network eeciently in the beginning and slow it down later, while ensuring that 2-cycles are never retrieved. Neurons with graded response have collective… (More)

Autism spectrum disorders (ASDs) are a triad of disturbances affecting the areas of communication, social interaction and behavior. In educational contexts, without appropriate intervention methodologies, these limitations can be deeply disabling. Our research promotes the communicative competence of children with ASDs It extends the current… (More)

We prove that except possibly for small exceptional sets, discrete-time analog neural nets are globally observable, i.e. all their corrupted pseudo-orbits on computer simulations actually reflect the true dynamical behavior of the network. Locally finite discrete (boolean) neural networks are observable without exception.

- Fernanda Botelho, James Jamison, Angela Murdock
- 2006

We study the existence and stability of pulse stationary solutions of an integro-differential equation modelling the coarse-grained averaged activity of a single layer of interconnected neurons. The neuronal connections considered are laterally oscilla-tory with an exponential rate of decay and variable phase. We identify regions in the parameter space… (More)

- J. Angela Hart Murdock, Fernanda Botelho, ANGELA HART MURDOCK
- 2007

We study the existence and stability of stationary solutions of an integro-differential equation modelling the activity of a single layer of interconnected neurons. The multi-parameter neural connections considered incorporate lateral oscillations with an exponential rate of decay. We identify regions in the parameter space where solutions exhibit areas of… (More)

This paper gives a characterization of a class of surjective isometries on spaces of Lipschitz functions with values in a finite dimensional complex Hilbert space.

We study an integro-differential equation defined on a spatially extended domain, proposed in the literature as a model of short term memory. Previous researchers have established necessary conditions for the existence of two-bump stationary solutions of this equation when considering a Heaviside firing rate function and a coupling function of " Mexican hat… (More)