arXiv
Open Access
2023
Effect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneities
Viktoras Pyragas
Kestutis Pyragas
Abstrak
We analyze the dynamics of large networks of pulse-coupled quadratic integrate-and-fire neurons driven by Cauchy noise and non-Cauchy heterogeneous inputs. Two types of heterogeneities defined by families of $q$-Gaussian and flat distributions are considered. Both families are parametrized by an integer $n$, so that as $n$ increases, the first family tends to a normal distribution, and the second tends to a uniform distribution. For both families, exact systems of mean-field equations are derived and their bifurcation analysis is carried out. We show that noise and heterogeneity can have qualitatively different effects on the collective dynamics of neurons.
Topik & Kata Kunci
Penulis (2)
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Viktoras Pyragas
K
Kestutis Pyragas
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
- Bahasa
- en
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- arXiv
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- Open Access ✓