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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… 相似文献
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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 相似文献
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弱联络线功率浑沌振荡研究 总被引:2,自引:0,他引:2
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。 相似文献
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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 相似文献
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Strange Quasi-Repeller in a Kicked Rotor 总被引:1,自引:0,他引:1
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. 相似文献
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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. 相似文献