Investigation of a Unified Chaotic System and Its Synchronization by Simulations*
WU Qing-Chu1,2, FU Xin-Chu1, Michael Small3
1Department of Mathematics, Shanghai University, Shanghai 200444 2College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022 3Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Investigation of a Unified Chaotic System and Its Synchronization by Simulations*
WU Qing-Chu1,2, FU Xin-Chu1, Michael Small3
1Department of Mathematics, Shanghai University, Shanghai 200444 2College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022 3Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
We investigate a unified chaotic system and its synchronization including feedback synchronization and adaptive synchronization by numerical simulations. We propose a new dynamical quantity denoted by K, which connects adaptive synchronization and feedback synchronization, to analyze synchronization schemes. We find that K can estimate the smallest coupling strength for a unified chaotic system whether it is complete feedback or one-sided feedback. Based on the previous work, we also give a new dynamical method to compute the leading Lyapunov exponent.
We investigate a unified chaotic system and its synchronization including feedback synchronization and adaptive synchronization by numerical simulations. We propose a new dynamical quantity denoted by K, which connects adaptive synchronization and feedback synchronization, to analyze synchronization schemes. We find that K can estimate the smallest coupling strength for a unified chaotic system whether it is complete feedback or one-sided feedback. Based on the previous work, we also give a new dynamical method to compute the leading Lyapunov exponent.
WU Qing-Chu;FU Xin-Chu;Michael Small. Investigation of a Unified Chaotic System and Its Synchronization by Simulations*[J]. 中国物理快报, 2010, 27(6): 60505-060505.
WU Qing-Chu, FU Xin-Chu, Michael Small. Investigation of a Unified Chaotic System and Its Synchronization by Simulations*. Chin. Phys. Lett., 2010, 27(6): 60505-060505.
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2010, Vol. 27 
