Volume 2, Issue 2, June 2009, Pages 140 - 146
Networks of Mixed Canonical-Dissipative Systems and Dynamic Hebbian Learning
Julio Rodriguez, Max-Olivier Hongler
Received 30 September 2008, Revised 19 May 2009, Available Online 1 June 2009.
- https://doi.org/10.2991/ijcis.2009.2.2.5How to use a DOI?
- mixed canonical-dissipative systems, diffusive coupling, Laplacian matrix, algebraic connec- tivity.
- We study the dynamics of a network consisting of N diffusively coupled, stable-limit-cycle oscillators on which individual frequencies are parametrized by Ï‰k , k = 1, . . . , N. We introduce a learning rule which influences the Ï‰k by driving the system towards a consensual oscillatory state in which all oscillators share a common frequency Ï‰c . We are able to analytically calculate Ï‰c . The network topology strongly affects the relaxation rate but not the ultimate consensual Ï‰c . We report numerical simulations to show the learning mechanisms at work and confirm our theoretical assertions.
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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 -