This title appears in the Scientific Report :
2014
Please use the identifier:
http://hdl.handle.net/2128/13253 in citations.
Spectral properties of excitable systems subject to colored noise
Spectral properties of excitable systems subject to colored noise
Many phenomena in nature are described by excitable systems driven by colored noise. For systems with noise fast compared to their intrinsic time scale, we here present a general method of reduction to a lower dimensional effective system, capturing the details of the noise by dynamic boundary condi...
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Personal Name(s): | Schuecker, Jannis (Corresponding Author) |
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Diesmann, Markus / Helias, Moritz | |
Contributing Institute: |
Computational and Systems Neuroscience; IAS-6 Computational and Systems Neuroscience; INM-6 |
Imprint: |
2014
|
Document Type: |
Preprint |
Research Program: |
Theory of multi-scale neuronal networks Supercomputing and Modelling for the Human Brain Brain-inspired multiscale computation in neuromorphic hybrid systems Theory, modelling and simulation Signalling Pathways and Mechanisms in the Nervous System |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Many phenomena in nature are described by excitable systems driven by colored noise. For systems with noise fast compared to their intrinsic time scale, we here present a general method of reduction to a lower dimensional effective system, capturing the details of the noise by dynamic boundary conditions. We apply the formalism to the leaky integrate-and-fire neuron model, revealing an analytical expression for the transfer function valid up to moderate frequencies. This enables the characterization of the response properties of such excitable units and the assessment of the stability of networks thereof. |