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On transition to bursting via deterministic chaos
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On transition to bursting via deterministic chaos

ArXiv.org
13 May 2006
url
https://doi.org/10.48550/arxiv.nlin/0605030View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Physics - Chaotic Dynamics
Phys. Rev. Lett. 97, 048102 (2006) We study statistical properties of the irregular bursting arising in a class of neuronal models close to the transition from spiking to bursting. Prior to the transition to bursting, the systems in this class develop chaotic attractors, which generate irregular spiking. The chaotic spiking gives rise to irregular bursting. The duration of bursts near the transition can be very long. We describe the statistics of the number of spikes and the interspike interval distributions within one burst as functions of the distance from criticality.

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