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Hyperchaos in Wilson-Cowan Oscillator Circuits.

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The Wilson-Cowan equations were originally shown to produce limit cycle oscillations for a range of parameters. Others subsequently showed that two coupled Wilson-Cowan oscillators could produce chaos, especially if the… Click to show full abstract

The Wilson-Cowan equations were originally shown to produce limit cycle oscillations for a range of parameters. Others subsequently showed that two coupled Wilson-Cowan oscillators could produce chaos, especially if the oscillator coupling was from inhibitory interneurons of one oscillator to excitatory neurons of the other. Here this is extended to show that chains, grids, and sparse networks of Wilson-Cowan oscillators generate hyperchaos with linearly increasing complexity as the number of oscillators increases. As there is now evidence that humans can voluntarily generate hyperchaotic visuo-motor sequences, these results are particularly relevant to the unpredictability of a range of human behaviours. These also include incipient senescence in aging, effects of concussive brain injuries, autism, and perhaps also intelligence and creativity.

Keywords: oscillator circuits; cowan oscillator; cowan; hyperchaos wilson; wilson cowan

Journal Title: Journal of neurophysiology
Year Published: 2019

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