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Ma Zhao-Zhao, Yang Qing-Chao, Zhou Rui-Ping.Lyapunov exponent algorithm based on perturbation theory for discontinuous systems. Acta Physica Sinica, 2021, 70(24): 240501.doi:10.7498/aps.70.20210492 |
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Zhou Shuang, Feng Yong, Wu Wen-Yuan, Wang Wei-Hua.A novel method based on the fuzzy C-means clustering to calculate the maximal Lyapunov exponent from small data. Acta Physica Sinica, 2016, 65(2): 020502.doi:10.7498/aps.65.020502 |
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Yang Dong-Dong, Ma Hong-Guang, Xu Dong-Hui, Liu Hao-Miao.Directional Lyapunov exponent and its application to fault detection of the single input single output system. Acta Physica Sinica, 2014, 63(22): 220505.doi:10.7498/aps.63.220505 |
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Li Qing-Du, Guo Jian-Li.Algorithm for calculating the Lyapunov exponents of switching system and its application. Acta Physica Sinica, 2014, 63(10): 100501.doi:10.7498/aps.63.100501 |
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Zang Hong-Yan, Fan Xiu-Bin, Min Le-Quan, Han Dan-Dan.Research of Lyapunov exponent of S-boxes. Acta Physica Sinica, 2012, 61(20): 200508.doi:10.7498/aps.61.200508 |
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Yao Tian-Liang, Liu Hai-Feng, Xu Jian-Liang, Li Wei-Feng.The largest Lyapunov exponent and the turbulent fluctuation of the time series from air turbulent jets. Acta Physica Sinica, 2012, 61(23): 234704.doi:10.7498/aps.61.234704 |
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Yao Tian-Liang, Liu Hai-Feng, Xu Jian-Liang, Li Wei-Feng.Noise-level estimation of noisy chaotic time series based on the invariant of the largest Lyapunov exponent. Acta Physica Sinica, 2012, 61(6): 060503.doi:10.7498/aps.61.060503 |
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Li Chun-Biao, Xu Ke-Sheng, Hu Wen.Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization. Acta Physica Sinica, 2011, 60(12): 120504.doi:10.7498/aps.60.120504 |
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Zhou Xiao-Yong.A chaotic system with invariable Lyapunov exponent and its circuit simulation. Acta Physica Sinica, 2011, 60(10): 100503.doi:10.7498/aps.60.100503 |
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Li Chun-Biao, Hu Wen.Synchronization methods and properties of the improved chaotic system with constant Lyapunov exponent spectrum. Acta Physica Sinica, 2010, 59(2): 801-815.doi:10.7498/aps.59.801 |
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Chen Xu, Qiu Shui-Sheng.Precise planement of all Lyapunov exponents for discrete-time dynamical systems. Acta Physica Sinica, 2010, 59(11): 7630-7634.doi:10.7498/aps.59.7630 |
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Shen Min-Fen, Lin Lan-Xin, Li Xiao-Yan, Chang Chun-Qi.Initial condition estimate of coupled map lattices system based on symbolic dynamics. Acta Physica Sinica, 2009, 58(5): 2921-2929.doi:10.7498/aps.58.2921 |
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Li Chun-Biao, Shan Liang, Wang De-Chun.Study on the generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system. Acta Physica Sinica, 2009, 58(9): 6016-6025.doi:10.7498/aps.58.6016 |
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Zhang Xiao-Dan, Liu Xiang, Zhao Pin-Dong.Methods for calculating the main-axis Lyapunov exponents of a type of chaotic systems with delay. Acta Physica Sinica, 2009, 58(7): 4415-4420.doi:10.7498/aps.58.4415 |
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Li Chun-Biao, Chen Su, Zhu Huan-Qiang.Circuit implementation and synchronization of an improved system with invariable Lyapunov exponent spectrum. Acta Physica Sinica, 2009, 58(4): 2255-2265.doi:10.7498/aps.58.2255 |
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Li Chun-Biao, Wang Han-Kang.An extension system with constant Lyapunov exponent spectrum and its evolvement. Acta Physica Sinica, 2009, 58(11): 7514-7524.doi:10.7498/aps.58.7514 |
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Yang Yong-Feng, Wu Ya-Feng, Ren Xing-Min, Qin Wei-Yang, Zhi Xi-Zhe, Qiu Yan.The largest Lyapunov prediction method for the end issue of empirical mode decomposition. Acta Physica Sinica, 2009, 58(6): 3742-3746.doi:10.7498/aps.58.3742 |
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Zhang Yong, Guan Wei.Predication of multivariable chaotic time series based on maximal Lyapunov exponent. Acta Physica Sinica, 2009, 58(2): 756-763.doi:10.7498/aps.58.756 |
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Liu Jian-Dong, Yu You-Ming.A TCML-based spatiotemporal chaotic one-way Hash function with changeable-parameter. Acta Physica Sinica, 2007, 56(3): 1297-1304.doi:10.7498/aps.56.1297 |
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LIU HAI-FENG, ZHAO YAN-YAN, DAI ZHENG-HUA, GONG XIN, YU ZUN-HONG.CALCULATION OF THE LARGEST LYAPUNOV EXPONENT IN THE DISCRETE DYNAMICAL SYSTEM WITH WAVELET ANALYSIS. Acta Physica Sinica, 2001, 50(12): 2311-2317.doi:10.7498/aps.50.2311 |