dorsal/arxiv
View SchemaNoise Delays Bifurcation in a Positively Coupled Neural Circuit
| Authors | Boris Gutkin, Tim Hely, Juergen Jost |
|---|---|
| Categories | |
| ArXiv ID | physics/0009003 |
| URL | https://arxiv.org/abs/physics/0009003 |
Abstract
We report a noise induced delay of bifurcation in a simple pulse-coupled neural circuit. We study the behavior of two neural oscillators, each individually governed by saddle-node dynamics, with reciprocal excitatory synaptic connections. In the deterministic circuit, the synaptic current amplitude acts as a control parameter to move the circuit from a mono-stable regime through a bifurcation into a bistable regime. In this regime stable sustained anti-phase oscillations in both neurons coexist with a stable rest state. We introduce a small amount of random current into both neurons to model possible randomly arriving synaptic inputs. We find that such random noise delays the onset of bistability, even though in decoupled neurons noise tends to advance bifurcations and the circuit has only excitatory coupling. We show that the delay is dependent on the level of noise and suggest that a curious stochastic ``anti-resonance'' is present.
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"abstract": "We report a noise induced delay of bifurcation in a simple pulse-coupled\nneural circuit. We study the behavior of two neural oscillators, each\nindividually governed by saddle-node dynamics, with reciprocal excitatory\nsynaptic connections. In the deterministic circuit, the synaptic current\namplitude acts as a control parameter to move the circuit from a mono-stable\nregime through a bifurcation into a bistable regime. In this regime stable\nsustained anti-phase oscillations in both neurons coexist with a stable rest\nstate. We introduce a small amount of random current into both neurons to model\npossible randomly arriving synaptic inputs. We find that such random noise\ndelays the onset of bistability, even though in decoupled neurons noise tends\nto advance bifurcations and the circuit has only excitatory coupling. We show\nthat the delay is dependent on the level of noise and suggest that a curious\nstochastic ``anti-resonance\u0027\u0027 is present.",
"arxiv_id": "physics/0009003",
"authors": [
"Boris Gutkin",
"Tim Hely",
"Juergen Jost"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"title": "Noise Delays Bifurcation in a Positively Coupled Neural Circuit",
"url": "https://arxiv.org/abs/physics/0009003"
},
"schema_id": "dorsal/arxiv",
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