理解确定性和随机性偶然解耦通过彼此诱导同步
Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each other
摘要：
在本文中，我们数值研究随机和确定性偶尔解耦的方法，影响相同的同步状态在低维，耗散，扩散耦合，混沌流，否则不同步时，连续耦合在相同的耦合强度参数。在我们试图理解偶然解耦方案成功背后的机制的过程中，我们设计了瞬态解耦和随机开关耦合之间的混合，并恰当地将其命名为瞬态随机解耦-另一种随机偶然解耦方法。我们随后对瞬态随机解耦的研究使我们能够以非常快的开关速率超越随机开关耦合的有效性。此外，通过瞬态随机解耦，我们建立的指标量化的局部收缩动力学在相应的横向流形通常是没有用的，在确定性瞬态解耦的情况下，在寻找相空间的最佳耦合区域。事实上，我们强调，自相关函数-一个非本地指标的动态-相应的响应系统的混沌时间序列决定何时确定性解耦可以成功。我们说明了我们所有的启发式结果使用几个著名的例子扩散耦合混沌振荡器。
英文摘要：
In this paper, we numerically study the stochastic and the deterministic occasional uncoupling methods of effecting identical synchronized states in low dimensional, dissipative, diffusively coupled, chaotic flows that are otherwise not synchronized when continuously coupled at the same coupling strength parameter. In the process of our attempt to understand the mechanisms behind the success of the occasional uncoupling schemes, we devise a hybrid between the transient uncoupling and the stochastic on-off coupling, and aptly name it the transient stochastic uncoupling---yet another stochastic occasional uncoupling method. Our subsequent investigation on the transient stochastic uncoupling allows us to surpass the effectiveness of the stochastic on-off coupling with very fast on-off switching rate. Additionally, through the transient stochastic uncoupling, we establish that the indicators quantifying the local contracting dynamics in the corresponding transverse manifold are generally not useful in finding the optimal coupling region of the phase space in the case of the deterministic transient uncoupling. In fact, we highlight that the autocorrelation function---a non-local indicator of the dynamics---of the corresponding response system's chaotic time-series dictates when the deterministic uncoupling could be successful. We illustrate all our heuristic results using a few well-known examples of diffusively coupled chaotic oscillators.
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