6533b827fe1ef96bd12864d3

RESEARCH PRODUCT

Periodic orbits of a neuron model with periodic internal decay rate

Michael A. RadinInese Bula

subject

Piecewise linear functionComputational MathematicsCharacter (mathematics)Classical mechanicsDifferential equationApplied MathematicsMathematical analysisPeriodic orbitsPeriodic sequenceBiological neuron modelStability (probability)Mathematics

description

In this paper we will study a non-autonomous piecewise linear difference equation which describes a discrete version of a single neuron model with a periodic internal decay rate. We will investigate the periodic behavior of solutions relative to the periodic internal decay rate. Furthermore, we will show that only periodic orbits of even periods can exist and show their stability character.

yearjournalcountryeditionlanguage
2015-09-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2015.05.097