Journal of Applied Mathematics and Physics

Volume 2, Issue 5 (April 2014)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Bifurcation and Chaos in Delayed Cellular Neural Network Model

HTML  Download Download as PDF (Size: 490KB)  PP. 219-224  
DOI: 10.4236/jamp.2014.25027    4,085 Downloads   5,573 Views  Citations

ABSTRACT

This paper deals with control of chaotic behavior of a delayed Cellular Neural Network (DCNN) model which is a one-dimensional regular array of four cells with continuous activation function. We investigate different dynamical behaviors including limit cycle, torus, and chaos for different range of weight parameters of the system. Regarding synaptic weight as parameter, Hopf bifurcations are obtained in the system without delay. In the delayed model condition for the Global asymptotic stability of the equilibrium point is presented. Numerical simulation and results are given to show the role of delay in chaos control of the CNNs.

Share and Cite:

Das, P. and Kundu, A. (2014) Bifurcation and Chaos in Delayed Cellular Neural Network Model. Journal of Applied Mathematics and Physics, 2, 219-224. doi: 10.4236/jamp.2014.25027.

Cited by

[1] Global Synchronization of Fractional-Order Non-autonomous Neural Network Model with Time Delays Through Centralized Data-Sampling Approach
2020
[2] Anti-control of periodic firing in HR model in the aspects of position, amplitude and frequency
2020
[3] Global Exponential Stability of Non-autonomous Cellular Neural Network Model with Time Varying
2020
[4] Dynamics of fractional-order neural networks with discrete and distributed delays
2019
[5] Global Exponential Stability of Non-autonomous Cellular Neural Network Model with Time Varying Delays
2018
[6] Hopf bifurcation analysis of coupled two-neuron system with discrete and distributed delays
Nonlinear Dynamics, 2016
[7] Gecikmeli bir yapay sinir ağı modeli ile gecikmeli bir av-avcı modelinin kararlılık ve hopf çatallanma analizleri
2016
[8] Stability and bifurcation analysis of two-neuron network with discrete and distributed delays
Neurocomputing, 2015
[9] Global Stability, Bifurcation, and Chaos Control in a Delayed Neural Network Model
Advances in Artificial Neural Systems, 2014

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.