Stationary cell size distributions and mean protein chain length distributions of Archaea,Bacteria and Eukaryotes described with an increment model in terms of irreversible thermodynamics

In terms of an increment model irreversible thermodynamics allows to formulate general relations of stationary cell size distributions observed in growing colonies. The treatment is based on the following key postulates: i) The growth dynamics covers a broad spectrum of fast and slow processes. ii) Slow processes are considered to install structural patterns that operate in short periods as temporary stationary states of reference in the sense of irreversible thermodynamics. iii) Distortion during growth is balanced out via the many fast processes until an optimized stationary state is achieved. The relation deduced identifies the numerous different stationary patterns as equivalents, predicting that they should fall on one master curve. Stationary cell size distributions of different cell types, like Hyperphilic archaea, E. coli (Prokaryotes) and S. cerevisiae (Eukaryotes), altogether taken from the literature, are in fact consistently described. As demanded by the model they agree together with the same master curve. Considering the “protein factories” as subsystems of cells the mean protein chain length distributions deduced from completely sequenced genomes should be optimized. In fact, the mean course can be described with analogous relations as used above. Moreover, the master curve fits well to the patterns of different species of Archaea, Bacteria and Eukaryotes. General consequences are discussed.     

The renormalization group of the model ofA 4-coupling in the abstract approach of quantum field theory

For the model ofA ⁴-interaction the postulates of the renormalization group are stated within the abstract approach of quantum field theory. In the massive case these postulates follow if an on-shell formulation of the model is assumed to exist. For the massless model the postulates of the renormalization group imply that the propagator has a pole at momentum zero. Consequently there is no dynamic mass generation and the propagator is normalizable on the mass shell. It is shown that theS-matrix elements scale with canonical dimensions. A general method of rescaling parameter values is developed which takes into account the possibility of propagator zeros and stationary points of the effective coupling.     

混沌的模糊神经网络逆系统控制

提出用Sugeno型的模糊推理神经网络建立混沌系统的逆系统模型,并采用逆系统方法进行混沌的控制.这种方法的特点是可以不必建立混沌系统的解析模型,通过模糊神经网络学习混沌系统的运动规律,通过学习获得的规律对混沌进行有效的控制,并且该控制方法可以控制混沌系统以一定精度跟踪连续变化的给定信号.理论分析及针对虫口模型和Henon模型仿真研究证明了该方法的有效性 关键词： 混沌 模糊神经网络 逆系统控制     

Continuous feedback control of KdV Burgers system

The chaos in the KdV Burgers equation describing a ferroelectric system has been successfully controlled by using a continuous feedback control. This system has two stationary points. In order to know whether the chaos is controlled or not, the instability of control equation has been analysed numerically. The numerical analysis shows that the chaos can be converted to one point by using one control signal, however, it can converted to the other point by using three control signals. The chaotic motion is converted to two desired stationary points and periodic orbits in numerical experiment separately.     

THE NONLINEAR SCHRÖDINGER EQUATION FOR THE DELTA-COMB POTENTIAL: QUASI-CLASSICAL CHAOS AND BIFURCATIONS OF PERIODIC STATIONARY SOLUTIONS

The nonlinear Schrödinger equation is studied for a periodic sequence of delta-potentials (a delta-comb) or narrow Gaussian potentials. For the delta-comb the time-independent nonlinear Schrödinger equation can be solved analytically in terms of Jacobi elliptic functions and thus provides useful insight into the features of nonlinear stationary states of periodic potentials. Phenomena well-known from classical chaos are found, such as a bifurcation of periodic stationary states and a transition to spatial chaos. The relation to new features of nonlinear Bloch bands, such as looped and period doubled bands, are analyzed in detail. An analytic expression for the critical nonlinearity for the emergence of looped bands is derived. The results for the delta-comb are generalized to a more realistic potential consisting of a periodic sequence of narrow Gaussian peaks and the dynamical stability of periodic solutions in a Gaussian comb is discussed.     

Optic-fiber communications: Nonlinear-transformation group

A new method for finding solutions of the nonlinear Schrödinger equation is proposed. A comutative multiplicative group of nonlinear transformations, which operate on stationary localized solutions, enables a consideration of fractal subspaces in the solution space, stability, and deterministic chaos. An increase of the transmission rate in the optic-fiber communications can be based on new forms of localized stationary solutions, without significant change of input power. The estimated transmission rate is 50 Gbit/s, for certain available soliton transmission systems.     

双环掺铒光纤激光器混沌双环反馈相移控制方法

 基于单模双环掺铒光纤激光器混沌反馈相移控制方法和物理模型,分别对两种单环反馈相移的物理模型作了讨论。利用耦合器将系统的输出量反馈到系统中,选取适当的反馈系数,并在反馈通道上加入相移控制器控制反馈光的相移,通过对反馈系数和反馈光相移的控制可以有效地控制激光输出的混沌态、稳定态和周期态。在此基础上,对激光器双环反馈相移控制方法作了详细分析,研究了反馈系数和反馈相移对单模双环掺铒光纤激光器激光混沌双环反馈相移控制模型的影响,并得到一定的规律。     

一种Duffing弱信号检测新方法及仿真研究

研究了利用混沌相变进行弱信号检测的理论及仿真试验.对基于Duffing振子初值敏感性检测弱信号的方法分析后指出,过渡过程会影响检测性能,提出一种改进的弱信号检测方法.对仿真输入噪声生成和仿真步长选择进行研究后建立了仿真模型,在典型噪声背景下检测弱正弦信号.实验结果表明：所提出的方法有较好检测性能;混沌临界态的Duffing系统对噪声敏感导致相变方法难以精确确定最小检测幅值.指出了这类方法的局限性. 关键词： 混沌 信号检测 周期信号 白噪声     

Fractal Analysis of Transport Properties in a Sinai Billiard

Research contacting chaos with fractals is carried out.First,we employ the theoretical quarter Sinai billiard model to study its chaos by using the stationary e...     

THE TIME RESPONSE OF THE FERRITE LOADED CAVITY AND STABILITY OF BIAS AUTOTUNING SYSTEM

A state space model is described, the time response of ferrite loaded cavity is proposed and a new digital measuring method devised.
Results of actual measurement on model cavity are given. On these bases the stability of stationary state of bias autotuning system to fast external perturbation is discussed.     

Optical-feedback induced chaos and its control in semiconductor lasers based on sliding tunable dual-wedges

We present a method of chaos and its control in semiconductor laser based on sliding tunable dual-wedges. We numerically reveal the dynamics of chaos and its control in semiconductor lasers by changing the length of sliding tuneable dual-wedges. The results indicated that, with the appropriate changes of the length of sliding tuneable dual-wedge, the laser can be controlled into steady state, single-periodic, multi-periodic and even chaos respectively. The results also provide a new method to generate various period states in the chaos system.     

The evolution of the chaotic dynamics of collective modes as a method for the behavioral description of living systems

Human-scaled (in complexity) systems possess a unique feature, viz., the continuous random motion of many components of the state vector x = x(t) of such living systems. Taking this property into consideration causes the rejection of any of the known types of stationary modes (e.g., dx/dt = 0) and requires revision of the concept of chaos. A new approach to the understanding of living systems (as a third paradigm of the natural sciences) and new methods for the study of living systems (as a theory of chaos and self-organization) are proposed. Common grounds of physics and theory of chaos and self-organization are revealed as a generalized uncertainty principle and a limit on the parameters of quasi-attractors.     

Dynamical precession of spin in the two-dimensional spin-orbit coupled systems

We investigate the spin dynamics in the two-dimensional spin-orbit coupled system subject to an in-plane (x-y plane) constant electric field, which is assumed to be turned on at the moment $t=0$. The equation of spin precession in linear response to the switch-on of the electric field is derived in terms of Heisenberg's equation by the perturbation method up to the first order of the electric field. The dissipative effect, which is responsible for bringing the dynamical response to an asymptotic result, is phenomenologically implemented à la the Landau-Lifshitz-Gilbert equation by introducing damping terms upon the equation of spin dynamics. Mediated by the dissipative effect, the resulting spin dynamics asymptotes to a stationary state, where the spin and the momentum-dependent effective magnetic field are aligned again and have nonzero components in the out-of-plane (z) direction. In the linear response regime, the asymptotic response obtained by the dynamical treatment is in full agreement with the stationary response as calculated in the Kubo formula, which is a time-independent approach treating the applied electric field as completely time-independent. Our method provides a new perspective on the connection between the dynamical and stationary responses.     

Asymptotic form of a strange attractor

A new model is proposed which has a strange attractor as a stationary state for small parameter values. The asymptotic form of the strange attractor is discussed by using the method of nonlinear scales.     

Collective patterns arising out of spatio-temporal chaos

We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under periodic boundary conditions. Thus the spatial inhomogeneity of the statistical state arises through spontaneous symmetry breaking. The transition from a state of homogeneous spatio-temporal chaos to one exhibiting spatial order is explained by introducing a collective viscosity which relates the averaged pattern with a correlation of the fluctuations. (c) 1996 American Institute of Physics.     

Controlling fractional order chaotic systems based on Takagi-Sugeno fuzzy model and adaptive adjustment mechanism

In this Letter, a kind of novel model, called the generalized Takagi-Sugeno (T-S) fuzzy model, is first developed by extending the conventional T-S fuzzy model. Then, a simple but efficient method to control fractional order chaotic systems is proposed using the generalized T-S fuzzy model and adaptive adjustment mechanism (AAM). Sufficient conditions are derived to guarantee chaos control from the stability criterion of linear fractional order systems. The proposed approach offers a systematic design procedure for stabilizing a large class of fractional order chaotic systems from the literature about chaos research. The effectiveness of the approach is tested on fractional order Rössler system and fractional order Lorenz system.     

Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters

This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model （DFHM） with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li-Yorke definition. An example is presented to demonstrate the effectiveness of the approach.     

一种研究非旋波近似演化问题的系统近似方法

以一个与玻色场耦合的二能级粒子为例，证实了在静态极化子问题的研究中取得成功的相干态近似方法，同样也能够有效地用于非旋波近似下量子系统的时间演化问题。结果同时表明，在一般情况下，哈密顿算符中的非旋波项不能被忽略；并提供了在频率空间进一步检测非旋波项效应的可能性。