论文标题

伪造的伪层来自开关间歇性

Pseudo-laminar chaos from on-off intermittency

论文作者

Müller-Bender, David, Valani, Rahil N., Radons, Günter

论文摘要

在有限维,混沌,洛伦兹样波粒子动力学系统中,可以找到扩散的轨迹,它们与层状混沌扩散的外观共享它们的外观[Phys。莱特牧师。 128,074101(2022)]从具有滞后时间调制的延迟系统中知道。但是,如[Phys。 Rev. E 101,032213(2020)],这些信号未通过这种测试,因此导致了伪层混乱的概念。后者可以被解释为综合驱动的开关间歇性。我们证明,在信号级别上,在有或没有动态噪声的系统中,真正的层流和伪层混乱几乎无法区分。但是,当考虑信号和增量的相关性时,非常明显的差异就会显而易见。我们比较和对比伪层混乱与真实的层流混乱的这些特性。

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay systems with lag-time modulation. Applying, however, to such systems a test for laminar chaos, as proposed in [Phys. Rev. E 101, 032213 (2020)], these signals fail such test, thus leading to the notion of pseudo-laminar chaos. The latter can be interpreted as integrated periodically driven on-off intermittency. We demonstrate that, on a signal level, true laminar and pseudo-laminar chaos are hardly distinguishable in systems with and without dynamical noise. However, very pronounced differences become apparent when correlations of signals and increments are considered. We compare and contrast these properties of pseudo-laminar chaos with true laminar chaos.

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