Dynamics analysis of neuron bursting under the modulation of periodic stimulation

DOI10.1155/2016/1965790zbMath1400.92094OpenAlexW2528596687WikidataQ59131076 ScholiaQ59131076MaRDI QIDQ1792782

Tingting Hua, Zhiya Chen, Mingming Zhang, Ying Ji, Zhiduo Xin, Wenbo Tang, Ya-wei Wang

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/1965790

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Biophysics (92C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• A generalized analog implementation of piecewise linear neuron models using CCII building blocks
• Bifurcations of equilibria in non-smooth continuous systems
• Dissection of a model for neuronal parabolic bursting
• Nonautonomous discrete neuron model with multiple periodic and eventually periodic solutions
• Bursting behavior in a non-smooth electric circuit
• Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
• BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS
• Biologically Inspired Spiking Neurons: Piecewise Linear Models and Digital Implementation

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