Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C1L-D

Session:

Number:610

Modulating the oscillations produced by discrete biological models

Tian Ge,  Wei Lin,  Xiaoying Tian,  

pp.610-613

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.610

PDF download (403.1KB)

An analytical approach is developed to modulate either the frequency or the amplitude of an oscillator. We present the strategy in general two-dimensional discrete polynomial systems undergoing the Neimark-Sacker bifurcation imposed by designed linear feedback controls, and apply the method to a model of an ideal storage system and the Chialvo neuronal model. Our method shows potential to understand the mechanism of frequency and amplitude modulations in various biological systems.

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