Dynamic interaction between discontinuity and noninvertibility: An analytical study

Shan Guan; Bing–Hong Wang; Da–kai Wang; Da–Ren He

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Dynamic interaction between discontinuity and noninvertibility: An analytical study

机译：不连续性与不可逆性之间的动态相互作用：一项分析研究

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A discontinuous and noninvertible circle map is introduced to describe modulated relaxation oscillators. The boundaries of the parameter regions are calculated where images of the jumping gap completely cover the noninvertible region so that the dynamics of the system are abruptly changed. We show that a kind of structure called a ``hole'' may appear due to the interaction between these two competing characteristics and may lead to some dynamic features. The influence of the holes on the boundaries of Arnold tongues is also discussed.

机译：引入了不连续且不可逆的圆图来描述调制弛豫振荡器。计算参数区域的边界，其中跳跃间隙的图像完全覆盖了不可逆区域，因此系统的动力学突然改变。我们表明，由于这两个竞争特征之间的相互作用，可能会出现一种称为``孔''的结构，并可能导致某些动态特征。还讨论了孔对Arnold舌头边界的影响。

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《Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics》 |1995年第1期|共13页
作者
Shan Guan; Bing–Hong Wang; Da–kai Wang; Da–Ren He;
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Dynamic interaction between discontinuity and noninvertibility: An analytical study

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