A new dynamical system with a single nonlinearity and its global exponential stabilization

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• 作者：Guo-Cun Zuo^a ; Cai-Xia Zhang^b ; ^{CaiXiaZhang_aut@126.com" class="auth_mail" title="E-mail the corresponding author} ; Chun-Lai Li^a
• 关键词：Chaotic system ; Chaos control ; Global exponential stabilization
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：127
• 期：20
• 页码：9905-9910
• 全文大小：1483 K

文摘

This paper reports a dynamical system with a single nonlinearity. Basic dynamical properties including equilibrium point, phase portrait, frequency spectrum and bifurcation of the new system are investigated theoretically and numerically. A linear feedback scheme is designed based on the Lyapunov theory to stabilize this chaotic system with global exponential convergence. Numerical analyses are implemented to confirm the theoretical scheme.