International Journal of Computational Intelligence Systems

Volume 2, Issue 2, June 2009, Pages 140 - 146

Networks of Mixed Canonical-Dissipative Systems and Dynamic Hebbian Learning

Authors
Julio Rodriguez, Max-Olivier Hongler
Corresponding Author
Julio Rodriguez
Available Online 16 June 2009.
DOI
https://doi.org/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.
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
2 - 2
Pages
140 - 146
Publication Date
2009/06
ISSN
1875-6883
DOI
https://doi.org/10.2991/ijcis.2009.2.2.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Julio Rodriguez
AU  - Max-Olivier Hongler
PY  - 2009
DA  - 2009/06
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  - https://doi.org/10.2991/ijcis.2009.2.2.5
ID  - Rodriguez2009
ER  -