Dynamical analysis and numerical simulation of bloch chaotic system. (15th June 2016)

• Record Type: Journal Article
• Authors: Zhang, Fuchen; Liao, Xiaofeng; Zhang, Guangyun; Mu, Chunlai; Lin, Da
• Is Part Of: Complexity. Volume 21(2016)Supplement 2
• Page Start: 201
• Page End: 206
• Publication Date: 2016-06-15
• Subjects: Bloch chaotic system -- chaotic attractor -- Lyapunov stability -- Lagrange multiplier method -- optimization theory; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21798
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this article, some dynamics of Bloch chaotic system have been studied. Based on Lagrange multiplier method, optimization theory, and the generalized positively definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive the ultimate bound and a family of mathematical expressions of globally exponentially attractive sets for this system with respect to the parameters of system. The results obtained in this article provides theory basis for chaotic synchronization, chaotic control, Hausdorff dimension, and Lyapunov dimension of chaotic attractors of Bloch chaotic system. © 2016 Wiley Periodicals, Inc. Complexity 21: 201–206, 2016