Temporal sequences and chaos in neural nets
Physical review A, 1988•APS
Exact deterministic equations for the evolution of temporal sequences with a delay
stabilization and heat-bath dynamics are derived. The temperature may be arbitrary and
both parallel and sequential updating are allowed. The equations display limit-cycle
oscillations with a broad diversity of waveforms. For exponential delay it is shown how an
increase of the transition amplitude leads to local chaos.
stabilization and heat-bath dynamics are derived. The temperature may be arbitrary and
both parallel and sequential updating are allowed. The equations display limit-cycle
oscillations with a broad diversity of waveforms. For exponential delay it is shown how an
increase of the transition amplitude leads to local chaos.
Abstract
Exact deterministic equations for the evolution of temporal sequences with a delay stabilization and heat-bath dynamics are derived. The temperature may be arbitrary and both parallel and sequential updating are allowed. The equations display limit-cycle oscillations with a broad diversity of waveforms. For exponential delay it is shown how an increase of the transition amplitude leads to local chaos.
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