Study of Phase Circle Map Model and its Symbolic dynamics

DOI

10.2991/eame-15.2015.198How to use a DOI?

Keywords

neuron model; circle map; integrate-and-fire model; symbolic dynamics

Abstract

Integrate-and-Fire Mode (IFM) is a quite simple neuron model, however, it is possible to simulate circle map. With the aid of IFM, the circle map iteration of phase can be implemented, meanwhile the symbolic sequences are acquired conveniently from Integrate-and-Fire process. In this paper, the study of phase circle map model and its symbolic dynamics is made. Firstly, the partition of symbols and their acquiring way are introduced one after the other. And then, the rotation and the devil staircase are computed immediately to distinguish the working states from the symbolic sequences. Finally, a distance formula of symbolic sequence, by which the relationship between the initial phase and distance can be shown, is given. It is shown that above analysis provides a simple and convenient way for the application of circle map.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Z. Chen
AU  - S.W. Pan
PY  - 2015/07
DA  - 2015/07
TI  - Study of Phase Circle Map Model and its Symbolic dynamics
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 729
EP  - 733
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.198
DO  - 10.2991/eame-15.2015.198
ID  - Chen2015/07
ER  -