This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fra...This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.展开更多
Editorial comment Translational medicine is a new discipline which aims to eliminate the barrier between preclinical and clinical medicine. Here, Dr. Li discusses the application of translational medicine in the resea...Editorial comment Translational medicine is a new discipline which aims to eliminate the barrier between preclinical and clinical medicine. Here, Dr. Li discusses the application of translational medicine in the research, teaching and clinical work of Prof. Liu Shih-Hao, the founder of endocrinology in China, who was particularly renowned for his early work in calcium and phosphorus metabolism. This well-known success story can be traced back to an early appreciation of translational medicine by Prof. Liu Shih-Hao, and serves as an important and revelatory lesson for us all.展开更多
描述了广东姜科(Zingiberaceae)姜黄属(Curcuma)的一个新变种——南岭莪术(C.kwangsiensis var. nanlingensis N. Liu et X.Y.Ma).该新变种与原变种的区别在于植株矮小,株高仅0.4-0.6 m,主根茎直径仅2-3 cm、长约3-4 cm,孕苞片白...描述了广东姜科(Zingiberaceae)姜黄属(Curcuma)的一个新变种——南岭莪术(C.kwangsiensis var. nanlingensis N. Liu et X.Y.Ma).该新变种与原变种的区别在于植株矮小,株高仅0.4-0.6 m,主根茎直径仅2-3 cm、长约3-4 cm,孕苞片白绿色.另检测表明该变种的体细胞染色体为2n=84.展开更多
Singchia Z. J. Liu & L. J. Chen, a new orchid genus, is established based on the new species S. malipoensis Z. J. Liu & L. J. Chen found in southeast Yunnan, China. The new genus is related to Pteroceras, from which...Singchia Z. J. Liu & L. J. Chen, a new orchid genus, is established based on the new species S. malipoensis Z. J. Liu & L. J. Chen found in southeast Yunnan, China. The new genus is related to Pteroceras, from which it differs by having a lip with its basal margins immovably adnate to the lower part of the pendent column foot, a thin-walled spur, and very unequally and deeply split pollinia, each with a distinct caudicle. In addition to a discussion on Ascocentrum pusillum, a species of questionable placement, another new genus, namely Gunnaria S. C. Chen ex Z. J. Liu & L. J. Chen, is set up and a new combination, namely G. pusilla (Aver.) Z. J. Liu & L. J. Chen, is made. The new genus Gunnaria differs from its allyAscocentrum by having a cross-shaped pollinarium, sulcate or split pollinia, each with a distinct caudicle attached to a common linear stipe much longer than either pollinia or viscidium, and strongly incurved side lobes of the lip.展开更多
在太阳能系统的设计中常涉及倾斜面上日总直射辐射的计算。计算倾斜面上日总直射辐射最常用的方法是Liu and Jordan所提出的数学方法,该方法是在假设地球表面没有大气层的情况下得出的,是一个典型的近似计算方法。研究通过直接数值积分...在太阳能系统的设计中常涉及倾斜面上日总直射辐射的计算。计算倾斜面上日总直射辐射最常用的方法是Liu and Jordan所提出的数学方法,该方法是在假设地球表面没有大气层的情况下得出的,是一个典型的近似计算方法。研究通过直接数值积分和Collares-Pereira and Rabl辐射计算经验关系对Liu and Jordan计算方法的正确性进行分析。结果表明:Liu and Jordan所提出的计算倾斜面上日总直射辐射的方法存在明显的计算误差,误差的大小与倾斜面的倾角和方位角有关,且方位角越大,计算误差越大;对于垂直表面,计算误差随着方位角的增加迅速增加,当方位角偏离正南90度时,由Liu andJordan方法所计算出的年总直射辐射误差高达20%以上。展开更多
In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with...In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with q=0.1 - 0.9 in a step of 0.1, and an experiment has demonstrated the 2.7-order Liu system. The simulation results prove that the chaos exists indeed in the fractional-order Liu system with an order as low as 0.3. The experimental results prove that the fractional-order chaotic system can be realized by using hardware devices, which lays the foundation for its practical applications.展开更多
Based on the three-dimensional Liu chaotic system, this paper appends a feedback variable to construct a novel hyperchaotic Liu system. Then, a control signal is further added to construct a novel nonautonomous hyperc...Based on the three-dimensional Liu chaotic system, this paper appends a feedback variable to construct a novel hyperchaotic Liu system. Then, a control signal is further added to construct a novel nonautonomous hyperchaotic Liu system. Through adjusting the frequency of the control signal, the chaotic property of the system can be controlled to show some different dynamic behaviors such as periodic, quasi-periodic, chaotic and hyperchaotic dynamic behaviours. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the two new systems are studied, respectively. Furthermore, the synchronizing circuits of the nonautonomous hyperchaotic Liu system are designed via the synchronization control method of single variable coupling feedback. Finally, the hardware circuits are implemented, and the corresponding waves of chaos are observed by an oscillograph.展开更多
Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and...Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the anti-synchronization of identical Qi three-dimensional (3D) four-wing chaotic systems (2008) and identical Liu 3D four-wing chaotic systems (2009). The stability results for the anti-synchronization schemes derived in this paper using sliding mode control (SMC) are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the SMC method is very effective and convenient to achieve global chaos anti-synchronization of the identical Qi four-wing chaotic systems and identical Liu four-wing chaotic systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper.展开更多
This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with to...This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end.展开更多
文摘This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.
文摘Editorial comment Translational medicine is a new discipline which aims to eliminate the barrier between preclinical and clinical medicine. Here, Dr. Li discusses the application of translational medicine in the research, teaching and clinical work of Prof. Liu Shih-Hao, the founder of endocrinology in China, who was particularly renowned for his early work in calcium and phosphorus metabolism. This well-known success story can be traced back to an early appreciation of translational medicine by Prof. Liu Shih-Hao, and serves as an important and revelatory lesson for us all.
文摘描述了广东姜科(Zingiberaceae)姜黄属(Curcuma)的一个新变种——南岭莪术(C.kwangsiensis var. nanlingensis N. Liu et X.Y.Ma).该新变种与原变种的区别在于植株矮小,株高仅0.4-0.6 m,主根茎直径仅2-3 cm、长约3-4 cm,孕苞片白绿色.另检测表明该变种的体细胞染色体为2n=84.
基金supported financially by the National Program for Wild Life Conservation and Nature Reserve Construction,China,and by the Science & Technology Plan of Shenzhen,China (SYF 200646408).
文摘Singchia Z. J. Liu & L. J. Chen, a new orchid genus, is established based on the new species S. malipoensis Z. J. Liu & L. J. Chen found in southeast Yunnan, China. The new genus is related to Pteroceras, from which it differs by having a lip with its basal margins immovably adnate to the lower part of the pendent column foot, a thin-walled spur, and very unequally and deeply split pollinia, each with a distinct caudicle. In addition to a discussion on Ascocentrum pusillum, a species of questionable placement, another new genus, namely Gunnaria S. C. Chen ex Z. J. Liu & L. J. Chen, is set up and a new combination, namely G. pusilla (Aver.) Z. J. Liu & L. J. Chen, is made. The new genus Gunnaria differs from its allyAscocentrum by having a cross-shaped pollinarium, sulcate or split pollinia, each with a distinct caudicle attached to a common linear stipe much longer than either pollinia or viscidium, and strongly incurved side lobes of the lip.
文摘在太阳能系统的设计中常涉及倾斜面上日总直射辐射的计算。计算倾斜面上日总直射辐射最常用的方法是Liu and Jordan所提出的数学方法,该方法是在假设地球表面没有大气层的情况下得出的,是一个典型的近似计算方法。研究通过直接数值积分和Collares-Pereira and Rabl辐射计算经验关系对Liu and Jordan计算方法的正确性进行分析。结果表明:Liu and Jordan所提出的计算倾斜面上日总直射辐射的方法存在明显的计算误差,误差的大小与倾斜面的倾角和方位角有关,且方位角越大,计算误差越大;对于垂直表面,计算误差随着方位角的增加迅速增加,当方位角偏离正南90度时,由Liu andJordan方法所计算出的年总直射辐射误差高达20%以上。
文摘In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with q=0.1 - 0.9 in a step of 0.1, and an experiment has demonstrated the 2.7-order Liu system. The simulation results prove that the chaos exists indeed in the fractional-order Liu system with an order as low as 0.3. The experimental results prove that the fractional-order chaotic system can be realized by using hardware devices, which lays the foundation for its practical applications.
基金Project supported by the National Natural Science Foundation of China (Grant No 60572089)the Natural Science Foundation of Chongqing (Grant No CSTC,2008BB2087)
文摘Based on the three-dimensional Liu chaotic system, this paper appends a feedback variable to construct a novel hyperchaotic Liu system. Then, a control signal is further added to construct a novel nonautonomous hyperchaotic Liu system. Through adjusting the frequency of the control signal, the chaotic property of the system can be controlled to show some different dynamic behaviors such as periodic, quasi-periodic, chaotic and hyperchaotic dynamic behaviours. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the two new systems are studied, respectively. Furthermore, the synchronizing circuits of the nonautonomous hyperchaotic Liu system are designed via the synchronization control method of single variable coupling feedback. Finally, the hardware circuits are implemented, and the corresponding waves of chaos are observed by an oscillograph.
文摘Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the anti-synchronization of identical Qi three-dimensional (3D) four-wing chaotic systems (2008) and identical Liu 3D four-wing chaotic systems (2009). The stability results for the anti-synchronization schemes derived in this paper using sliding mode control (SMC) are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the SMC method is very effective and convenient to achieve global chaos anti-synchronization of the identical Qi four-wing chaotic systems and identical Liu four-wing chaotic systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper.
基金Project supported by the Educational Commission of Hubei Province of China,(Grant No 080056)
文摘This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end.