Synchronization phenomena in neural networks of hard oscillators

Michele Bonnin; Valentina Lanza; Fernando Corinto; Marco Gilli

doi:10.1117/12.887189

3 May 2011 Synchronization phenomena in neural networks of hard oscillators

Michele Bonnin, Valentina Lanza, Fernando Corinto, Marco Gilli

Proceedings Volume 8068, Bioelectronics, Biomedical, and Bioinspired Systems V; and Nanotechnology V; 80680K (2011) https://doi.org/10.1117/12.887189
Event: SPIE Microtechnologies, 2011, Prague, Czech Republic

Abstract

Oscillatory networks are a special class of neural networks where each neuron exhibits time periodic behavior. They represent bio-inspired architectures which can be exploited to model biological processes such as the binding problem and selective attention. In most of situations, each neuron is assumed to have a stable limit cycle as the unique attractor. In this paper we investigate the dynamics of networks whose neurons are hard oscillators, namely they exhibit the coexistence of a stable limit cycle and a stable equilibrium point. We consider a constant external stimulus applied to each neuron, which influences the neuron's own natural frequency. We investigate the bifurcations in the neuron's dynamics induced by the input. We show that, due to the interaction between different kind of attractors, as well as between attractors and repellors, new interesting dynamics arises, in the form of synchronous oscillations of various amplitudes. We also show that neurons subject to different stimuli are able to synchronize if their couplings are strong enough.

Citation Download Citation

Michele Bonnin, Valentina Lanza, Fernando Corinto, and Marco Gilli "Synchronization phenomena in neural networks of hard oscillators", Proc. SPIE 8068, Bioelectronics, Biomedical, and Bioinspired Systems V; and Nanotechnology V, 80680K (3 May 2011); https://doi.org/10.1117/12.887189

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available