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.
- Copyright
- © 2014, 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/).
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 -