Adaptive Complex Function Projective Synchronization of Uncertain Complex Chaotic Systems-Reference-Cited by-同舟云学术

Adaptive Complex Function Projective Synchronization of Uncertain Complex Chaotic Systems

Published:2015-08-12 Issue:1 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Zhang Fangfang¹,Liu Shutang²

Affiliation:

1. School of Electrical Engineering and Automation, Qilu University of Technology, No. 3501 Daxue Road, Jinan 250353, China e-mail:

2. College of Control Science and Engineering, Shandong University, No. 17923 Jingshi Road, Jinan 250061, China e-mail:

Abstract

Complex function projective synchronization (CFPS) is the most general synchronization and it enhances the security of communication. However, there always exist unknown parameters for chaotic systems in the real world. Considering all possible cases of unknown parameters of two complex chaotic systems, we design adaptive CFPS schemes and parameters update laws based on speed-gradient (SG) method. The convergence factors and pseudogradient condition are added to regulate the convergence speed and increase robustness. SG method is extended from real field to complex field. Numerical simulations are performed to demonstrate the effectiveness and feasibility of the proposed schemes.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4030893/6107425/cnd_011_01_011013.pdf

Reference32 articles.

1. The Complex Lorenz Equations;Physica D,1982

2. The Dynamics of Systems of Complex Nonlinear Oscillators: A Review;Int. J. Bifurcat. Chaos,2004

3. Active Control and Global Synchronization for Complex Chen and Lü Systems;Int. J. Bifurcat. Chaos,2007

4. Phase and Antiphase Synchronization of Two Identical Hyperchaotic Complex Nonlinear Systems;Nonlinear Dyn.,2010

5. Complete Synchronization of Chaotic Complex Nonlinear Systems With Uncertain Parameters;Nonlinear Dyn.,2012

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Speed Gradient Method and Its Applications;Automation and Remote Control;2021-09

2. Time-Delay Characteristics of Complex Lü System and Its Application in Speech Communication;Entropy;2020-11-05

3. Simplified method and synchronization for a class of complex chaotic systems;Mathematical Methods in the Applied Sciences;2019-11-28

4. Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System;Journal of Computational and Nonlinear Dynamics;2019-06-10

5. Parameters identification and adaptive tracking control of uncertain complex-variable chaotic systems with complex parameters;Nonlinear Dynamics;2019-01-25