Capacity of oscillatory associative-memory networks with error-free retrieval.
Networks of coupled periodic oscillators (similar to the Kuramoto model) have been proposed as models of associative memory. However, error-free retrieval states of such oscillatory networks are typically unstable, resulting in a near zero capacity. This puts the networks at disadvantage as compared with the classical Hopfield network. Here we propose a simple remedy for this undesirable property and show rigorously that the error-free capacity of our oscillatory, associative-memory networks can be made as high as that of the Hopfield network. They can thus not only provide insights into the origin of biological memory, but can also be potentially useful for applications in information science and engineering.
Nishikawa
Takashi
T
Department of Mathematics, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287, USA. tnishi@chaos6.la.asu.edu
Lai
Ying-Cheng
YC
Hoppensteadt
Frank C
FC
D001244:Association; D001683:Biological Clocks; D025802:Electric Capacitance; D008568:Memory; D008959:Models, Neurological