Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
144 tokens/sec
GPT-4o
8 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Bifurcation analysis of a fractional-order Pinsky-Rinzel model (2110.08582v1)

Published 16 Oct 2021 in math.DS

Abstract: Abstract The present work describes a new fractional-order system of a two-compartment CA3 hippocampal pyramidal cell, which is known as Pinsky-Rinzel model with Caputo fractional derivative. Firstly, The transient of the solutions is investigated. Then based on the bifurcation diagrams, we study the general behavior of the system. In this case, fractional derivative order and currents injection, are taken as bifurcation parameters. Chaotic regions are obtained for different values of the fractional derivative order and different injection currents. Finally, a numerical approach is introduced to study the stability of the system under certain conditions. The obtained results can be considered as help to control relevant diseases caused by maximal injection currents abnormality.

Summary

We haven't generated a summary for this paper yet.