Proceedings of the 2013 International Conference on Advances in Intelligent Systems in Bioinformatics

A modified duffing system with a sawtooth-wave excitation and its synchronization

Authors
Hongmin Deng, Jun Li Xu Gou
Corresponding Author
Hongmin Deng
Available Online January 2014.
Keywords
Sawtooth wave; modified duffing equation; chaotic synchronization; feedback control
Abstract
A duffing system under approximate sawtooth wave excitation obtained by a relaxation oscillator is proposed, and its dynamic properties (including phase trajectory, time evolution, bifurcation diagram) are analyzed, also the impact of excitation magnitude change on phase trajectory is discussed. The synchronization of two duffing systems under various excitations is achieved by nonlinear integral feedback method based on the sum of squared errors. Simulation results show that excitation amplitude affects the state of the system. Finally, it has been explained the effectiveness of this scheme on the generation of chaotic source in secure communication and synchronization control.
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Volume Title
Proceedings of the 2013 International Conference on Advances in Intelligent Systems in Bioinformatics
Series
Advances in Intelligent Systems Research
Publication Date
January 2014
ISBN
978-94-6252-000-4
ISSN
1951-6851
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Hongmin Deng
AU  - Jun Li Xu Gou
PY  - 2014/01
DA  - 2014/01
TI  - A modified duffing system with a sawtooth-wave excitation and its synchronization
BT  - Proceedings of the 2013 International Conference on Advances in Intelligent Systems in Bioinformatics
PB  - Atlantis Press
SP  - 64
EP  - 69
SN  - 1951-6851
UR  - https://www.atlantis-press.com/article/11359
ID  - Deng2014/01
ER  -