dorsal/arxiv
View SchemaHow to compute using globally coupled oscillators
| Authors | Peter Ashwin, Jon Borresen |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0409012 |
| URL | https://arxiv.org/abs/q-bio/0409012 |
Abstract
Synchronization is known to play a vital role within many highly connected neural systems such as the olfactory systems of fish and insects. In this paper we show how one can robustly and effectively perform practical computations using small perturbations to a very simple globally coupled network of coupled oscillators. Computations are performed by exploiting the spatio-temporal dynamics of a robust attracting heteroclinic network (also referred to as `winnerless competition' dynamics). We use different cluster synchronization states to encode memory states and use this to design a simple multi-base counter. The simulations indicate that this gives a robust computational system exploiting the natural dynamics of the system.
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"abstract": "Synchronization is known to play a vital role within many highly connected\nneural systems such as the olfactory systems of fish and insects. In this paper\nwe show how one can robustly and effectively perform practical computations\nusing small perturbations to a very simple globally coupled network of coupled\noscillators. Computations are performed by exploiting the spatio-temporal\ndynamics of a robust attracting heteroclinic network (also referred to as\n`winnerless competition\u0027 dynamics). We use different cluster synchronization\nstates to encode memory states and use this to design a simple multi-base\ncounter. The simulations indicate that this gives a robust computational system\nexploiting the natural dynamics of the system.",
"arxiv_id": "q-bio/0409012",
"authors": [
"Peter Ashwin",
"Jon Borresen"
],
"categories": [
"q-bio.NC"
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"title": "How to compute using globally coupled oscillators",
"url": "https://arxiv.org/abs/q-bio/0409012"
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