A Fat strange Repeller

This article reports an observation on a fat strange repeller, which appears after a characteristic crisis observed in a kicked rotor subjected to a piecewise continuous force field. The discontinuity border in the definition range of the two-dimensional mapping, which describes the system, oscillates as the discrete time develops. At a threshold of a control parameter a fat chaotic attractor suddenly transfers to a fat transient set. The strange repeller, which appears after the crisis, is also a fat fractal, This is the reason why super-transience happens     

A Confined Chaotic Motion of a Kicked Particle

1. IntroductionWe shall consider a kicked classic particle, which isan ion driven by an electromagnetic field.' Its motionis bounded on a cycle. A basic question is how onecan obtain a confined chaotic motion of it. Here, the"confined" means that the motion is bounded insidea part Of the phase space. It may be difficult to find adirect correspondence with this question in practicalsituations, such as in the confinement of hot plasma.However, the discussion may present helpful ideas fOrsolvin…     

电压敏器件动力学行为的数值模拟

电压敏器件作为保护器件多应用于有电感性元件存在的电路中.电压敏器件良好的非线性伏安特性将保护其电路元件不因感应过电压或浪涌电压而损坏.考虑到电路中总存在有一定的分布电容,因此可将有压敏电阻存在的保护电路等效成图1所示的电路.为     

红外激光材料上的非晶碳氢膜及其激光破坏

在 Si,Ge,KC1,Au,Cu 衬底上制备了非晶碳氢膜(a—C:H)。由红外透射谱分析得到膜中 SP~3键占主导地位。对 Si、KC1、Au、Cu 衬底上非晶碳膜的激光破坏作了研究,指出非晶碳膜的激光破坏机制与非晶硅、非晶锗相比远为复杂。     

Strange Quasi-Repeller in a Kicked Rotor

A new kind of crisis was observed in a system where a transition from conservative to quasi-dissipative can be observed. The crisis signifies a sudden and intrinsic change of a stochastic web, which is formed by the end-results of the images of the discontinuous borderlines of the system function. In the crisis, a strange quasi-repeller can be defined. When changing the controlling parameter, the variation of the fractile dimension of the quasi-repeller obeys a logarithmic rule.     

a-C∶H/a-Se复合膜非平衡晶化分形特征的SEM观测

a-C∶H/a-Se/Al 感光体的 a-C:H 层在能流密度的6.4×10~(14)eV/mm~2·s 的离子流轰击下发生了非平衡晶化凝聚。晶体凝聚物为“链环状分形”。用盒子计数法测得其分数维 D_0=1.35±0.04;用相关函数法测得其关联维为 D_2=1.39±0.03。这与我们用计算机模拟的结果很好地符合。本文同时讨论了这一系列文章([2][3]及本文)对发展一种新的非平衡晶化分析方法的意义。     

弱联络线功率浑沌振荡研究

本文应用Melnikov方法首次对两个周期性负荷扰动引起联络线功率浑沌振荡进行解析分析，得出引起系统出现浑沌振荡的条件，数值计算表明，在浑沌发生区域，系统中只有确定性的负荷扰动，联络线功率也会出现随机振荡现象。     

Unpredictable Property of a Kicked Billiard Ball

A simultaneous change in the systemic property of a kicked billiard ball is observed from an entirely smooth and conservative state to a piecewise smooth and quasi-dissipative state when a single controlling parameter has been adjusted. The transition induces a sudden change of a typical conservative stochastic web into a transient web. The iterations on the transient web eventually escape to some elliptic islands. In the meantime, a fat fractal forbidden web, which appears also at the threshold, grows up and cuts away increasingly more parts from the original conservative stochastic web. We numerically show that the initial conditions that generated different attractors are mixed in a random manner and the pattern remains unchanged even when smaller and smaller scales are used for examination, indicating a riddle-like basin structure that practically rules out the possibility of predicting the attractors from a given initial condition.     

Cu/a—C:H双层膜的网络分形及Cu膜退炎缩聚

远离平衡生长的Cu/a-C∶H双层膜具有网络分形的结构。在本实验条件下,测量出它的分维数D_f≈1.83。在TEM中对该双层膜进行缓慢加热的原位动态观察,发现原有的网络结构在535℃时完全遭到破坏,同时随着Cu膜的退火缩聚,逐渐出现随机分布的缩聚区,此区的分维值随着退火温度的上升而下降,最后在850℃时变为D_f=1.63。利用金属原子的表面与界面扩散模型,可以解释这种结构特征的变化。