Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling

Joint Authors

Xu, Changjin
Li, Peiluan

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-08-16

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

A delayed neural network model of two neurons with inertial coupling is dealt with in this paper.

The stability is investigated and Hopf bifurcation is demonstrated.

Applying the normal form theory and the center manifold argument, we derive the explicit formulas for determining the properties of the bifurcating periodic solutions.

An illustrative example is given to demonstrate the effectiveness of the obtained results.

American Psychological Association (APA)

Xu, Changjin& Li, Peiluan. 2012. Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-490722

Modern Language Association (MLA)

Xu, Changjin& Li, Peiluan. Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-490722

American Medical Association (AMA)

Xu, Changjin& Li, Peiluan. Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-490722

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-490722