数字采样下Filippov型混合系统从稳定轨道到混沌动力学的转变
Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling
摘要：
我们证明了一个有代表性的例子，一个平面的混合动力系统与数字采样的突然过渡，从一个稳定的极限环的混沌动力学的发病。我们证明，对于足够小的$τ.$值，吸引子大小的标度律与数字采样时间$τ$成正比。给出了数值和分析结果。对于采样时间$τ.$的大值，标度律变为非线性律。这种现象可以用吸引子有界性的变化来解释。
英文摘要：
We demonstrate on a representative example of a planar hybrid system with digital sampling a sudden transition from a stable limit cycle to the onset of chaotic dynamics. We show that the scaling law in the size of the attractor is proportional to the digital sampling time $τ$ for sufficiently small values of $τ.$ Numerical and analytical results are given. The scaling law changes to a nonlinear law for large values of the sampling time $τ.$ This phenomenon is explained by the change in the boundedness of the attractor.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
