论虚构叙述中的时间分岔——类聚合系文本的一个可能

在现代与后现代小说、电影、戏剧等虚构叙述体裁中常常出现时间分岔设计,经典和后经典叙述学的叙述时间理论在分析这一创作手法时遇到困难。从符号学的组合与聚合双轴操作理论来分析这一现象具有相当的适宜性。组合轴与聚合轴一显一隐,共同完成符号文本的构造。但有时,组合段文本中会出现聚合轴,形成双轴同显的局面。这种“聚合偏重”的“类聚合系文本”元素是虚构叙述中时间分岔情节在形式构成上的基本原则,时间分岔设计可以看作类聚合系文本的一个应用。

基于时间分岔的电路仿真分析方法的研究

构造了微弱扰动信号作用下的BUCK变换器电路模型作为研究对象,通过对微弱扰动信号的数学分析和变换,对间歇现象中的时间分岔仿真分析方法进行了分析和论证。并与传统参数分岔分析方法进行比较,从而证明了这种时间域分岔分析方法与参数分岔的方法所得结果的一致性。同时证明了应用该方法可以明显减少传统参数分岔仿真分析方法对电路模型所需仿真的时间和次数,从而为今后的时间域分岔仿真分析提供了可靠的依据。

浅析《小径分岔的花园》的“时间迷宫”

《小径分岔的花园》是后现代主义文学先驱博尔赫斯的名作,小说中出现的多系列时间的交叉、分岔、平行、背离、融合和循环共同融合成一座时间的迷宫,这座无限的迷宫就是博尔赫斯独特时间观的载体。由此可知,《小径分岔的花园》无疑是博尔赫斯迷宫似的叙述与迷宫般的时间观的完美融合。

高阶开关功率变换器中的间歇现象

以四阶电流模式控制单端初级电感变换器(single ended primary inductor converter,SEPIC)为例,研究高阶开关功率变换器中的间歇混沌和间歇分谐波现象。从电路耦合滤波的角度考虑,建立具有耦合干扰信号的SEPIC变换器模型,通过数值仿真和电路仿真观察到了间歇现象,分析不同电路参数对干扰信号强度阈值的影响。并将时间分岔映射为参数分岔,继而以此为基础运用特征值分析方法对变换器的稳定性进行了分析。参数分岔图、特征值轨迹与时间分岔图完全一致,均表明干扰信号的强度和频率决定着间歇现象的类型和间歇周期的大小。

Poincare映射图计算中的“伪收敛”

讨论了计算Poincare映射图时不同的收敛过程、相应的时间历程图呈现的不同特点和影响映射图准确性的因素,分析了时间分岔和伪收敛现象.

超高频Z源DC/DC变换器的呼吸现象分析

Z源变换器因在超高频条件下具有体积小、效率高等特点而备受关注,但该变换器在光伏并网等实际工作过程中更易产生一种规则的噪声,即耦合电路引起的传导和电磁辐射的干扰使得变换器产生呼吸现象,严重影响电网系统稳定。故建立了具有耦合干扰信号的超高频Z源变换器模型,通过电路仿真及实验观察到了间歇现象,从理论上将时间分岔映射为参数分岔,利用雅克比矩阵特征值运动变化判定系统的稳定性,从而验证了超高频Z源变换器呼吸现象的存在。最后根据对该变换器的分岔控制行为进行分析,确定该系统处于干扰信号下的电路参数稳定域。结论能够为超高频Z源变换器的稳定运行提供参考,对实际电路的设计提供理论依据。

Competition of Spatial and Temporal Instabilities under Time Delay near Codimension-Two Turing-Hopf Bifurcations

Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequency,theintrinsic wave vector,and the intensities of both Turing and Hopf modes.The application of appropriate time delaycan control the competition between the Turing and Hopf modes.Analysis shows that individual or both feedbacks canrealize the control of the transformation between the Turing and Hopf patterns.Two-dimensional numerical simulationsvalidate the analytical results.

Nonlinear Dynamic Analysis of Planetary Gear Train System with Meshing Beyond Pitch Point

Nonlinear dynamic analysis was performed on a planetary gear transmission system with meshing beyond the pitch point.The parameters of the planetary gear system were optimized,and a two-dimensional nonlinear dynamic model was established using the lumped-mass method.Time-varying meshing stiffness was calculated by the energy method.The model consumes the backlash,bearing clearance,time-varying meshing stiffness,time-varying bearing stiffness,and time-varying friction coefficient.The time-varying bearing stiffness was calculated according to the Hertz contact theory.The load distribution among the gears was computed,and the time-varying friction coefficient was calculated according to elastohydrodynamic lubrication(EHL)theory.The dynamical equations were solved via numerical integration.The global bifurcation characteristics caused by the input speed,backlash,bearing clearance,and damping were analyzed.The system was in a chaotic state at natural frequencies or frequency multiplication.The system transitioned from a single-period state to a chaotic state with the increase of the backlash.The bearing clearance of the sun gear had little influence on the bifurcation characteristics.The amplitude was restrained in the chaotic state as the damping ratio increased.

互动视频之叙事:口语叙事、游戏叙事与数字叙事

“祛魅”的现代性的世界观,促使艺术创作者以秩序的含糊性为作品明确的目的,且是凌驾于其他目标之上的首要目的,并带来作品的无序、偶然,结果的不确定和多结局。社会化媒体的迅速崛起带来了艺术领域的全新探索,社会化媒体的普及作为坚实的基础和无尽的推力,促进了开放式环境中的数字叙事探索。数字叙事是一种时空的多维度叙事,其中破碎的叙事时间、游移叙事时空与虚实交融的叙事空间等特征,带给观众新奇的参与体验和异于往昔的参与挑战。探讨数字叙事理论的嬗变,即从对媒体叙事的迁移,到类比思维对口语叙事的参照模仿,再到创新形成新的自我范式;从《黑镜:潘达斯奈基》到哔哩哔哩互动视频,概述国内外互动视频的发展;分析互动视频的叙事时空和叙事结构。

Oscillation control for n-dimensional congestion control model via time-varying delay

Time delay or round trip time (RTT) is an important parameter in the model of Internet congestion control. On the one hand, the delay may induce oscillation via the Hopf bifurcation. In the present paper, a congestion control model of n dimensions is considered to study the delay-induced oscillation. By linear analysis of the n-dimensional system, the critical delay for the Hopf bifurcation is obtained. To describe the relation between the delay and oscillation analytically, the method of multiple scales (MMS) is employed to obtain the bifurcating periodic solution. On the other hand, it can be understood that the oscillation will increase the risk of congestion for the network system. To avoid the congestion derived from the oscillation, a new control scheme is proposed by perturbing the delay periodically. Particularly, according to our study, it is possible to control the oscillation by perturbing only one of the n delays. This provides a practical scheme for the oscillation control in the real network system. By MMS, the strengths of the perturbations are predicted analytically such that the oscillation disappears. To give an example, an eight-dimensional model is studied in detail. The analytical results are in good agreement with the numerical simulations.

Control of stochastic spike motion in an excitable system via recycled noise

The control effect of recycled noise,generated by the superposition of a primary Gaussian noise source and a secondary source with a constant delay,has been studied in an excitable FitzHugh-Nagumo system.We mainly focus on the performance of noise-induced spike and coherence resonance in a parameter region sub-threshold to supercritical Hopf bifurcation.For fixed noise intensity,simulations show that the coherence(quantitatively measured by R,which is defined as the mean value of the spike interval time T normalized to its mean square root) and the emission velocity of the noise-induced spikes exhibit damped oscillations with the variation of delay time,demonstrating a new kind of multi-resonance phenomenon.Furthermore,the optimal delay times for resonance and the fast emission velocity are related to the inherent frequency of the system.It seems that there are some synchronization effects between the dynamic character of the system and the delay time of recycled noise.Our results give clear information about how one can control the coherence and emission velocity of the noise-induced spike in a rather effective way,by deliberately adjusting the delay time and the fraction of the secondary noise.

Abnormality diagnosis of cracks in the concrete dam based on dynamical structure mutation

A method of the fuzzy cross-correlation factor exponent in dynamics is researched and proposed to diagnose abnormality of cracks in the concrete dam. Moreover, the Logistic time series changing from period-doubling bifurcation to chaos is tested first using this method. Results indicate that it can distinguish inherent dynamics of time series and can detect mutations. Considering that cracks in the concrete dam constitute an open, dissipative and complex nonlinear dynamical system, a typical crack on the downstream face of a concrete gravity arch dam is analyzed with the proposed method. Two distinct mutations are discovered to indicate that the abnormality diagnosis of cracks in the concrete dam is achieved dynamically through this method. Furthermore, because it can be directly utilized in the measured crack opening displacement series to complete abnormality diagnosis, it has a good prospect for practical applications.

Stability switches and Bogdanov-Takens bifurcation in an inertial two-neuron coupling system with multiple delays

In this paper,we investigate an inertial two-neural coupling system with multiple delays.We analyze the number of equilibrium points and demonstrate the corresponding pitchfork bifurcation.Results show that the system has a unique equilibrium as well as three equilibria for different values of coupling weights.The local asymptotic stability of the equilibrium point is studied using the corresponding characteristic equation.We find that multiple delays can induce the system to exhibit stable switching between the resting state and periodic motion.Stability regions with delay-dependence are exhibited in the parameter plane of the time delays employing the Hopf bifurcation curves.To obtain the global perspective of the system dynamics,stability and periodic activity involving multiple equilibria are investigated by analyzing the intersection points of the pitchfork and Hopf bifurcation curves,called the Bogdanov-Takens(BT)bifurcation.The homoclinic bifurcation and the fold bifurcation of limit cycle are obtained using the BT theoretical results of the third-order normal form.Finally,numerical simulations are provided to support the theoretical analyses.

Hopf bifurcation and chaos in an inertial neuron system with coupled delay

In this paper, inertia is added to a simplified neuron system with time delay. The stability of the trivial equilibrium of the net- work is analyzed and the condition for the existence of Hopf bifurcation is obtained by discussing the associated characteristic equation. Hopf bifurcation is investigated by using the perturbation scheme without the norm form theory and the center man- ifold theorem. Numerical simulations are performed to validate the theoretical results and chaotic behaviors are observed. Phase plots, time history plots, power spectra, and Poincar6 section are presented to confirm the chaoticity. To the best of our knowledge, the chaotic behavior in this paper is new to the previously published works.

A SINGULAR BIOECONOMIC MODEL WITH DIFFUSION AND TIME DELAY

This paper studies a prey-predator singular bioeconomic system with time delay and diffusion, which is described by differential-algebraic equations. For this system without diffusion, there exist three bifurcation phenomena： Transcritical bifurcation, singularity induced bifurcation, and Hopf bifurcation. Compared with other biological systems described by differential equations, singularity induced bifurcation only occurs in singular system and usually links with the expansion of population. When the diffusion is present, it is shown that the positive equilibrium point loses its stability at some critical values of diffusion rate and periodic oscillations occur due to the increase of time delay. Furthermore, numerical simulations illustrate the effectiveness of results and the related biological implications are discussed.

Numerical studies on weak and strong ignition induced by reflected shock and boundary layer interaction

In shock tube experiments,the interaction between the reflected shock and boundary layer can induce shock bifurcation and weak ignition.The weak ignition can greatly affect the ignition delay time measurement in a shock tube experiment.In this work,two-dimensional simulations considering detailed chemistry and transport are conducted to investigate the shock bifurcation and non-uniform ignition behind a retlected shock.The objectives are to interpret the formation of shock bifurcation induced by the reflected shock and boundary layer interaction and to investigate the weak ignition and its transition to strong ignition for both hydrogen and dimethyl ether.It is found that the non-uniform reflection of the incident shock at the end wall produces a wedge-shaped oblique shock foot at the wall.The wedge-shaped structure results in strong interactions between reflected shock and boundary layer,which induces the shock bifurcation.It is demonstrated that the local high-temperature spots at the foot of the bifurcated shock is caused by viscous dissipation and pressure work.As the post-reflected shock temperature increases,the transition from weak ignition to strong ignition in a stoichiometric hydrogen/oxygen mixture is observed.The relative sensitivity of ignition delay time to the post-rellected shock temperature is introduced to characterize the appearance of weak ignition behind the reflected shock.Unlike in the hydrogen/oxygen mixture,weak ignition is not observed in the stoichiometric dimethyl-ether/oxygen mixture since it has a relatively longer ignition delay time and smaller relative sensitivity.