Projective synchronization of spatiotemporal chaos in a weighted complex network

<正>Projective synchronization of a weighted complex network is studied in which nodes are spatiotemporal chaos systems and all nodes are coupled not with the nonlinear terms of the system but through a weighted connection.The range of the linear coefficient matrix of separated configuration,when the synchronization is implemented,is determined according to Lyapunov stability theory.It is found that projective synchronization can be realized for unidirectional star-connection even if the coupling strength between the nodes is a given arbitrary weight value.The Gray-Scott models having spatiotemporal chaos behaviours are taken as nodes in the weighted complex network,and simulation results of spatiotemporal synchronization show the effectiveness of the method.     

含一个非线性项混沌系统的线性控制及反控制

研究了一类仅含一个非线性项混沌系统的线性控制与反控制,根据Routh-Hurwitz稳定性条件,先对这类混沌系统进行控制,使其达到稳定的状态,然后改变控制系数,使其再次产生混沌,得到一个新的混沌系统,并对这个新的混沌系统的基本动力学行为进行了分析,数值仿真也验证了新系统的混沌性态.     

Time synchronization and carrier frequency control of CAPS navigation signals generated on the ground

The Chinese Area Positioning System (CAPS) works without atomic clocks on the satellite, and the CAPS navigation signals transmitted on the ground may achieve the same effect as that with high-performance atomic clocks on the satellite. The primary means of achieving that effect is through the time synchronization and carrier frequency control of the CAPS navigation signals generated on the ground. In this paper the synchronization requirements of different time signals are analyzed by the formation of navigation signals, and the theories and methods of the time synchronization of the CAPS navigation signals generated on the ground are also introduced. According to the conditions of the high-precision satellite velocity-measurement signal source, the carrier frequency and its chains of the navigation signals are constructed. CAPS velocity measurement is realized by the expected deviation of real time control to the carrier frequency, and the precision degree of this method is also analyzed. The experimental results show that the time synchronization precision of CAPS generating signals is about 0.3 ns and the precision of the velocity measurement signal source is about 4 cm/s. This proves that the theories and methods of the generating time synchronization and carrier frequency control are workable. Supported by the Major Knowledge Innovation Programs of the Chinese Academy of Sciences (Grant No. KGCX1-21), the National High Technology Research and Development Program of China (Grant Nos. 2004AA105030 and 2006AA12Z314), the National Natural Science Foundation of China (Grant No. 10453001), and the Major State Basic Research Development Program of China (Grant No. 2007CB815502)     

New mechanism for non-trivial intra-molecular vibrational dynamics

We investigate the time evolution process of one selected (initially prepared by optical pumping) vibrational molecular state S, coupled to all other intra-molecular vibrational states R of the same molecule, and also to its environment Q. Molecular states forming the first reservoir R are characterized by a discrete dense spectrum, whereas the environment reservoir Q states form a continuous spectrum. Assuming the equidistant reservoir R states we find the exact analytical solution of the quantum dynamic equations. S-Q and R-Q couplings yield to spontaneous decay of the S and R states, whereas S-R exchange leads to recurrence cycles and Loschmidt echo at frequencies of S-R transitions and double resonances at the interlevel reservoir R transitions. Due to these couplings the system S time evolution is not reduced to a simple exponential relaxation. We predict various regimes of the system S dynamics, ranging from exponential decay to irregular damped oscillations. Namely, we show that there are possible four dynamic regimes of the evolution: (i) independent of the environment Q exponential decay suppressing backward R - S transitions, (ii) Loschmidt echo regime, (iii) incoherent dynamics with multicomponent Loschmidt echo, when the system state is exchanged its energy with many states of the reservoir, (iv) cycle mixing regime, when long time system dynamics looks as a random-like. We suggest applications of our results for interpretation of femtosecond vibration spectra of large molecules and nano-systems.     

离散混沌电路的实现

利用基本的电子元件和基本的电路搭建成一维Logistic离散电路和二维Henon离散电路．该电路将模拟器件和数字器件巧妙结合，电路结构简单．通过模拟实验展示了混沌运动的基本特点和规律，实验结果与理论结果一致．     

用单一驱动变量同步混沌与超混沌的一种方法

为减少混沌或超混沌同步过程中所需同步信号的个数以及提高同步的效率，提出了用线性可逆变换的方法重组系统，从而使原来不能同步的系统实现了只用单一信号就可同步的目的-另外，也大大提高系统的同步速率- 关键词： 线性可逆变换 混沌和超混沌同步 最大条件Lyapunov指数     

各高速摄影仪跟踪测量数据时间一致性检验方法及准确分析

提出了各高速摄影测量仪跟踪测量数据时间一致性检验方法,并经实战任务数据处理分析,证明该方法行之有效.它不仅解决了跟踪设备时间一致性问题,同时也提高了卫星运载工具在起飞段的漂移量数据处理准确.     

掺铒光纤激光器反相位混沌同步及其编码

针对单模双环掺铒光纤激光器具有光耦合相互作用的非线性动力学特点,应用“交叉注入反相位双环对两环主动—被动”混沌同步方法,数值模拟实现了两组相互独立的单模单环掺铒光纤激光器激光分别和单模双环掺铒光纤激光器对应环激光混沌同步;提出并数值模拟了具有调制频率1kHz和15kHz的正弦信号的双环—两环的两路混沌隐藏编码保密通信系统,它们解码质量好,保密性能强,可以很好地应用在混沌多路保密通信中。     

An alternating periodic－chaotic ISI sequence of HH neuron under external sinusoidal stimulus

A study of Hodgkin－Huxley (HH) neuron under external sinusoidal excited stimulus is presented in this paper. As is well known, the stimulus frequency is to be considered as a bifurcate parameter, and numerous phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the stimulus frequency less than 2f_B (f_B being the base frequency in this paper), the simulation results demonstrate that the single HH neuron could completely convey the sinusoidal signal in anti-phase into interspike interval (ISI) sequences. We also report, perhaps for the first time, another kind of phenomenon, the beat phenomenon, which exists in the phase dynamics of the ISI sequences of the HH neuron stimulated by a sinusoidal current. It is shown furthermore that intermittent transition results in the general route to chaos.     

Security analysis of a spatiotemporal-chaos-based cryptosystem

An S-box modified one-way coupled map lattice is applied as a chaotic cryptograph. The security of the system is evaluated from various attacks currently used, including those based on error function analysis, statistical property analysis, and known-plaintext and chosen-ciphertext analytical computations. It is found that none of the above attacks can be better than the brute force attack of which the cost is exhaustively quantitated by the key number in the key space. Also, the system has fairly fast encryption (decryption) speed, and has extremely long period for finite-precision computer realization of chaos. It is thus argued that this chaotic cryptosystem can be a hopeful candidate for realistic service of secure communications.