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| 1 | Impact chaos control and stress release——A key for development of ultra fine vibration milling显示文摘Through our previous experimental and analytical studies, it has been discovered that the key for the development of vibration milling is the impact chaos control and stress release. The necessities for the chaos control and stress release are: (i) to strictly eliminate the sub-harmonics; (ii) to control the super-harmonics to a lower level and (iii) to load the system compressively with relatively higher period, in order that the vibration energy can be absorbed by the particles effectively and sufficiently. A new vibration model for ultra fine milling is proposed, which has wide applications in preparing ultra fine particles. | WANG Shulin(Department of Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China) | 2002 | Progress in Natural Science:Materials International2002，12，5： | 40 |
| 2 | Relation of chaos activity characteristics of the cardiac system with the evolution of species显示文摘According to the nonlinear theory, the experiments have been conducted on sample ECG (electrocardiogram) signals of healthy human beings, coronary heart disease patients and adult canines. On the basis of the analyses of the power spectra, the computation of the correlation dimension and the Lyapunov exponent to a large number of ECG signals, the following conclusions are shown: through the comparative research, (1) the analyses of the power spectra, the computation of the correlation dimension and the Lyapunov exponent to the ECG signals reflect the whole dynamic characteristics of the hearts, and they may become a new method of researching ECG quantitatively to an early diagnose of heart disease. (2) Under normal physiological conditions the cardiac activities are chaotic, while under pathologic conditions the cardiac activities approach regularity. (3) On the basis of the comparative research of human beings and canines, it is revealed that chaos may be a quantitative index to measure the evolution | WANG XingyuanSchool of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China | 2002 | Chinese Science Bulletin2002，47，24： | 21 |
| 3 | Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy显示文摘A class of minimal subshifts which display Schweizer Smítal chaos and have zero topological entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer Smítal chaos occurring on the measure centre. | 廖公夫 范钦杰 | 1998 | Science China Mathematics1998，41，1： | 20 |
| 4 | 基于相对增益和改进粒子群算法的PSS与直流调制协调策略显示文摘现有电力系统稳定器(power system stabilizer,PSS)和直流调制多使用本地信号作为控制器反馈输入信号,控制器间的交互作用可能降低甚至破坏系统稳定性。提出了一种基于广域测量信号的PSS与直流调制协调策略,首先通过留数法选择对于振荡模态可观性较强的广域信号作为阻尼控制器备选反馈信号;其次通过相对增益方法选择使PSS和直流调制交互影响最小的备选信号作为最佳反馈信号;而后设计分散控制器,并运用基于混沌和差分进化的混合粒子群优化算法对PSS和直流调制控制器参数进行协调优化。最后,通过EPRI 36节点系统仿真验证了协调策略的正确性和有效性。 | 王曦 李兴源 赵睿 | 2014 | 中国电机工程学报2014，34，34： | 17 |
| 5 | The evolution of cooperation in asymmetric systems显示文摘Explaining the 'Tragedy of the Commons' of the evolution of cooperation remains one of the greatest problems for both biology and social science.Asymmetrical interaction,which is one of the most important characteristics of cooperative systems,has not been sufficiently considered in the existing models of the evolution of cooperation.Considering the inequality in the number and payoff between the cooperative actors and recipients in cooperation systems,discriminative density-dependent interference competition will occur in limited dispersal systems.Our model and simulation show that the local but not the global stability of a cooperative interaction can be maintained if the utilization of common resource remains unsaturated,which can be achieved by density-dependent restraint or competition among the cooperative actors.More intense density dependent interference competition among the cooperative actors and the ready availability of the common resource,with a higher intrinsic contribution ratio of a cooperative actor to the recipient,will increase the probability of cooperation.The cooperation between the recipient and the cooperative actors can be transformed into conflict and,it oscillates chaotically with variations of the affecting factors under different environmental or ecological conditions.The higher initial relatedness(i.e.similar to kin or reciprocity relatedness),which is equivalent to intrinsic contribution ratio of a cooperative actor to the recipient,can be selected for by penalizing less cooperative or cheating actors but rewarding cooperative individuals in asymmetric systems.The initial relatedness is a pivot but not the aim of evolution of cooperation.This explains well the direct conflict observed in almost all cooperative systems. | WANG RuiWu1 & SHI Lei2 1 State Key Laboratory of Genetic Resources and Evolution,Kunming Institute of Zoology,Chinese Academy of Science,Kunming 650223,China 2 Statistics and Mathematics College,Yunnan University of Finance and Economics,Kunming 650221,China | 2010 | Science China(Life Sciences)2010，53，1： | 11 |
| 6 | Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance显示文摘The bifurcations and chaotic dynamics of a simply supported symmetric cross-ply composite lami- nated piezoelectric rectangular plate are studied for the first time, which are simultaneously forced by the transverse, in-plane excitations and the excitation loaded by piezoelectric layers. Based on the Reddy’s third-order shear deformation plate theory, the nonlinear governing equations of motion for the composite laminated piezoelectric rectangular plate are derived by using the Hamilton’s principle. The Galerkin’s approach is used to discretize partial differential governing equations to a two-degree- of-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is employed to obtain the four-dimensional averaged equation. Numerical method is utilized to find the periodic and chaotic responses of the composite laminated piezoelectric rectangular plate. The numerical results indicate the existence of the periodic and chaotic responses in the aver- aged equation. The influence of the transverse, in-plane and piezoelectric excitations on the bifurca- tions and chaotic behaviors of the composite laminated piezoelectric rectangular plate is investigated numerically. | ZHANG Wei YAO ZhiGang YAO MingHui | 2009 | Science China(Technological Sciences)2009，52，3： | 11 |
| 7 | Application of polynomial chaos on numerical simulation of stochastic cavity flow显示文摘In present paper,the mathematic background of intrusive polynomial chaos (IPC) method and coupling process with one dimension Euler equation were introduced. The IPC method was implemented for the 2D compressible stochastic Navier-Stokes equations to simulate the non-deterministic behavior of a lid driven cavity flow under the influence of uncertainties. The driven velocity and fluid viscosity were supposed respectively to be the uncertain variable which has Gaussian probability distribution. Based on the validation with benchmark results,discussions were mainly focused on the statistic properties of velocity distribution. The results indicated the effect of IPC method on the simulation of propagation of uncertainty in the flow field. For the simulated results of 2D cavity flow,influence of the driven velocity uncertainty is larger than that of viscosity. | WANG XiaoDong1,2 & KANG Shun1 1 Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, School of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China 2 Department of Mechanical Engineering, Vrije Universiteit Brussel, Brussels 1050, Belgium | 2010 | Science China(Technological Sciences)2010，53，10： | 9 |
| 8 | ON HYDRODYNAMIC INSTABILITIES,CHAOS AND PHASE TRANSITION显示文摘Ellipticity as the underlying mechanism for instabilities of physi-cal systems is highlighted in the study of model nonlinear evolution equations withdissipation and the study of phase transition in Van der Waals fluid. Interestingresults include spiky solutions, chaotic behavior in the context of partial differentialequations, as well as the nucleation process due to elhpticity in phase transition. | D. Y. Hsieh S. Q. Tang X. P. Wang | 1996 | Acta Mechanica Sinica1996，12，1： | 9 |
| 9 | Theory for Constructing Generalized Synchronization and Applications显示文摘The approaches for constructing directionally coupled generalized synchronization (GS) systems are presented, which are available for the driving system and the respond system that are in GS via a given diffeomorphism transformation. Examples are proposed for illustrating the methods. | Xiaodan Zhang, Lequan Min (Applied Science School, University of Science and Technology Beijing, Beijing 100083, China) | 2000 | International Journal of Minerals,Metallurgy and Materials2000，14，3： | 9 |
| 10 | STUDY OF ATMOSPHERIC BOUNDARY LAYER TURBULENCE——COMPOSITE OBSERVATIONAL EXPERIMENT OF ATMOSPHERIC BOUNDARY LAYER TURBULENCE AND STUDY OF ITS DYNAMIC CHARACTERISTICS | 赵松年 洪钟祥 胡非 | 1992 | Progress in Natural Science:Materials International1992，2，3： | 8 |
| 11 | Experimental Investigation on Noise of Cavitation Nozzle and Its Chaotic Behaviour显示文摘The researches of cavitation noise mainly focus on the incipiency and developing of cavitation to prevent the cavititation erosion in the hydraulic machinery, while there is few report about the collapse strength of cavitation bubbles produced by water jet through the cavitation nozzle to utilize efficiently the collapse energy of cavitation bubbles. The cavitation noise signals are collected with hydrophones for the cavitation nozzle and general nozzle at the target position and the nozzle exit separately in the conditions of different standoff distance. The features of signal's frequency spectrum and power spectrum are analyzed for various nozzles by way of classical methods. Meanwhile, based on chaotic theory, phase space reconstruction is processed and the maximum Lyapunov index is calculated separately for each cavitation signal's time series. The results of chaotic analysis are compared with the one of conventional analysis. The analyzed data show that there are the marked differences at the spectrum between the cavitation nozzle and general nozzle at the target position while the standoff distance is 35 mm, which mainly displays at the high frequency segment (60-120 kHz). The maximum Lyapunov index calculated appear at standoff distance 35 mm, which is an optimum standoff distance for the most bubbles to collapse at the target. At the nozzle exit, the noise signal of cavitation nozzle is different from the general nozzle, which also displays at the high frequency segment. The results demonstrate that the water jet modulated by the cavitation nozzle can produce effectually cavitation, and at the target position the amplitude and energy of noise spectrum in high frequency segment for cavitation nozzle are higher than conventional nozzle and the Lyapunov index of cavitation nozzle is larger than conventional nozzle as the standoff distance is less than 55 mm. The proposed research reveals that the cavitation noise produced by collapse of cavitation bubbles attributes mainly to the high frequency segment of the spectrum, which provides references for the research on cavitation noise. | ZHANG Fenghua LIU Haifeng XU Junchao TANG Chuanlin | 2013 | Chinese Journal of Mechanical Engineering2013，26，4： | 8 |
| 12 | A Novel Genetic Algorithm Preventing Premature Convergence by Chaos Operator显示文摘An improved genetic algorithm (GA) is proposed based on the analysis of population diversity within the framework of Markov chain. The chaos operator to combat premature convergence concerning two goals of maintaining diversity in the population and sustaining the convergence capacity of the GA is introduced. In the CHaos Genetic Algorithm (CHGA), the population is recycled dynamically whereas the most highly fit chromosome is intact so as to restore diversity and reserve the best schemata which may belong to the optimal solution. The characters of chaos as well as advanced operators and parameter settings can improve both exploration and exploitation capacities of the algorithm. The results of multimodal function optimization show that CHGA performs simple genetic algorithms and effectively alleviates the problem of premature convergence. | LIU Juan CAI Zi-xing LIU Jian-qin | 2000 | Journal of Central South University2000，12，2： | 8 |
| 13 | Chaotic Characteristic Analysis of Air Traffic System显示文摘Chaotic characteristics of traffic flow time series is analyzed to further investigate nonlinear characteristics of air traffic system.Phase space is reconstructed both by time delay which is built through mutual information,and by embedding dimension which is based on false nearest neighbors method.In order to analyze chaotic characteristics of time series,correlation dimensions and the largest Lyapunov exponents are calculated through Grassberger-Procaccia(G-P)algorithm and small-data method.Five-day radar data from the control center in Guangzhou area are analyzed and the results show that saturated correlation dimensions with self-similar structures exist in time series,and the largest Lyapunov exponents are all equal to zero and not sensitive to initial conditions.Air traffic system is affected by multiple factors,containing inherent randomness,which lead to chaos.Only grasping chaotic characteristics can air traffic be predicted and controlled accurately. | 丛玮 胡明华 | 2014 | Transactions of Nanjing University of Aeronautics and Astronautics2014，31，6： | 7 |
| 14 | 军事需求工程技术之需求管理显示文摘 | 余滨 石建迈 段采宇 | 2006 | 国防科技2006，27，10： | 7 |
| 15 | 0.75 Gbit/s high-speed classical key distribution with mode-shift keying chaos synchronization of Fabry–Perot lasers显示文摘High-speed physical key distribution is diligently pursued for secure communication.In this paper,we propose and experimentally demonstrate a scheme of high-speed key distribution using mode-shift keying chaos synchronization between two multi-longitudinal-mode Fabry–Perot lasers commonly driven by a super-luminescent diode.Legitimate users dynamically select one of the longitudinal modes according to private control codes to achieve mode-shift keying chaos synchronization.The two remote chaotic light waveforms are quantized to generate two raw random bit streams,and then those bits corresponding to chaos synchronization are sifted as shared keys by comparing the control codes.In this method,the transition time,i.e.,the chaos synchronization recovery time is determined by the rising time of the control codes rather than the laser transition response time,so the key distribution rate is improved greatly.Our experiment achieved a 0.75-Gbit/s key distribution rate with a bit error rate of 3.8×10^(−3)over 160-km fiber transmission with dispersion compensation.The entropy rate of the laser chaos is evaluated as 16 Gbit/s,which determines the ultimate final key rate together with the key generation ratio.It is therefore believed that the method pays a way for Gbit/s physical key distribution. | Hua Gao Anbang Wang Longsheng Wang Zhiwei Jia Yuanyuan Guo Zhensen Gao Lianshan Yan Yuwen Qin Yuncai Wang | 2021 | Light(Science & Applications)2021，10，9： | 7 |
| 16 | Using Complexity Measure to Characterize Information Transmission of Human Brain Cortex显示文摘The information transmission among various parts of the cortex are computed with the the-ory of mutual information from the data of the electroencephalogram(EEG)time series of normal humansubjects.The intensities of these transmissions are characterized by the'complexity'measures.These mea-sures have revealed to be sensitively related to the functional conditions of human beings. | 徐京华 吴祥宝 | 1994 | Science China Chemistry1994，37，12： | 6 |
| 17 | 看国外如何“玩”转创客空间显示文摘创客空间,顾命思义,就是"创客"们一起做东西的地方。这个概念最早可以追溯到发源于欧洲的"黑客空间"(hackerspace),目前在欧美有很多知名的创客空间。创客空间可以是一群有相同兴趣的人们互相分享空间和工具的兴趣团体,也可以是商业公司或非盈利公司,还可以是学校或图书馆等的附属组织。 | 翟露 | 2015 | 信息化建设2015，0，7： | 6 |
| 18 | Bifurcation and chaos of the bladed overhang rotor system with squeeze film dampers显示文摘To study the nonlinear dynamic behavior of the bladed overhang rotor system with squeeze film damper (SFD), a blade-overhang rotor-SFD model is formulated using the lumped mass method and the Lagrange approach. The cavitated short bearing model is employed to describe the nonlinear oil force of the SFD. To reduce the scale of the nonlinear coupling system, a set of orthogonal transformations is employed to decouple the one nodal diameter equations of blades, which are coupled with the dy- namical equations of the rotor, with other equations of blades. In this way, the original system with 16+4n (n≥3) degrees of freedom (DoF) is reduced to a system with 24 DoF only. Then the parametric excitation terms in the blade-overhang rotor-SFD model are simplified in terms of periodic transforma- tions. The coupling equations are numerically solved and the solutions are used to analyze the dy- namic behavior of the system in terms of the bifurcation diagram, whirl orbit, Poincaré map and spec- trum plot. A variety of motion types are found such as multi-periodic, quasi-periodic, and chaotic mo- tions. Moreover, the typical nonlinear dynamic evolutions including the periodic-doubling bifurcation and reverse bifurcation are noted. It is noticed that there exist apparent differences in the dynamic behavior between the blade-overhang rotor-SFD models without and with considering the effect of blades. | CAO DengQing WANG LiGang CHEN YuShu HUANG WenHu | 2009 | Science China(Technological Sciences)2009，52，3： | 5 |
| 19 | Parameter identification and synchronization of spatiotemporal chaos in an uncertain Gray-Scott system显示文摘The zero-asymptotic property of sliding variables in discrete systems is extended to a continuous one and applied to partial differential equations which describe spatiotemporal chaos. A method of chaos synchronization and parameter identifi-cation is proposed. The synchronization controllers and the parameter recognizers are designed. The uncertain Gray-Scott system is taken as an example to verify the effectiveness of the method. Simulation results show that the identification vari-ables in the parameter recognizers may take the place of the unknown parameters in both target and response systems. Global synchronization of the two spatio-temporal chaotic systems with uncertain parameters may be realized quickly after controllers are added. | LüLing LI Yi GUO ZhiAn | 2008 | Science China(Physics,Mechanics & Astronomy)2008，51，11： | 5 |
| 20 | QUASI-PERIODIC AND CHAOTIC BEHAVIOUR OF A TWO-DEGREE-OF-FREEDOM IMPACT SYSTEM IN A STRONG RESONANCE CASE显示文摘A two-degree-of-freedom system contacting a single stop is considered.Quasi-periodicand chaotic behavior of the system in a strong resonance case is investigated by theoretical analysis andnumerical simulation. | Luo Guanwei Xie Jianhua Sun Xunfang | 1999 | Acta Mechanica Solida Sinica1999，12，3： | 5 |
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