Spectral Statistics of Instantaneous Normal Modes in Liquids and Random Matrices
AbstractWe 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 exitatory coupling. We show that the delay is dependent on the level of noise and suggest that a curious stochastic "anti-resonance" is present. PACS numbers: 87.10.+e,87.18.Bb,87.18.Sn,87.19.La
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 00-09-054.
Date of creation: Sep 2000
Date of revision:
Contact details of provider:
Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501
Web page: http://www.santafe.edu/sfi/publications/working-papers.html
More information through EDIRC
You can help add them by filling out this form.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel).
If references are entirely missing, you can add them using this form.