Networks of Mixed Canonical-Dissipative Systems and Dynamic Hebbian Learning

DOI

10.2991/ijcis.2009.2.2.5How to use a DOI?

Keywords

mixed canonical-dissipative systems, diffusive coupling, Laplacian matrix, algebraic connec- tivity.

Abstract

We study the dynamics of a network consisting of N diffusively coupled, stable-limit-cycle oscillators on which individual frequencies are parametrized by ωk , k = 1, . . . , N. We introduce a learning rule which influences the ωk by driving the system towards a consensual oscillatory state in which all oscillators share a common frequency ωc . We are able to analytically calculate ωc . The network topology strongly affects the relaxation rate but not the ultimate consensual ωc . We report numerical simulations to show the learning mechanisms at work and confirm our theoretical assertions.

Copyright

© 2009, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Julio Rodriguez
AU  - Max-Olivier Hongler
PY  - 2009
DA  - 2009/06/01
TI  - Networks of Mixed Canonical-Dissipative Systems and Dynamic Hebbian Learning
JO  - International Journal of Computational Intelligence Systems
SP  - 140
EP  - 146
VL  - 2
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2009.2.2.5
DO  - 10.2991/ijcis.2009.2.2.5
ID  - Rodriguez2009
ER  -