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Truncated fractal basin boundaries in three machine power systems

机译:三台机电力系统中截断的分形盆地边界

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Pendulum systems with decaying sinusoidal input functions are examined. Earlier studies of the system dealt with theoretical predictions of (truncated) fractal deformations in the basin boundaries and also the existence of diffeomorphisms between basins when a single parameter was changed. Here, the authors present simulation evidence that show the unraveling of the truncated fractal basin boundary. A three machine power system, one application area of these pendulum systems, is reduced to a three-body problem, a critical parameter set is identified, and a simulation of a fractally deformed basin is shown.
机译:检查具有腐烂正弦输入功能的摆锤系统。对系统的早期研究涉及盆地边界中(截断)分形变形的理论预测,并且在改变单个参数时盆之间的散晶族存在的存在。在这里,作者呈现了仿真证据,其展示了截断的分形盆地边界的解开。这三种机器电力系统,这些摆动系统的一个应用面积,被识别到三体问题,识别临界参数集,并且示出了分形变形盆地的模拟。

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