论文标题
通过间歇相互作用来调节动态
Regulating dynamics through intermittent interactions
论文作者
论文摘要
在这封信中，我们通过实验证明了一种有效的方案，可以通过动态控制其相互作用来调节耦合非线性振荡器的行为。据观察，在交互项中引入间歇性作为时间或系统状态的函数，可以预见，可以改变组成振荡器的动力学。选择相互作用的性质 - 有吸引力或排斥，可以抑制振荡或刺激活动。引入了两个参数$δ$和$τ$，这些参数统治了子系统之间的相互作用程度。它们是访问从固定点到混乱的整个可能行为范围的利益。对于系统参数和耦合强度的固定值，更改$δ$和$τ$可以很好地控制耦合子系统的动力学。我们使用耦合的Chua电路表明了这一实验，并通过详细的数值模拟阐明了一系列耦合参数的行为。
In this letter, we experimentally demonstrate an efficient scheme to regulate the behaviour of coupled nonlinear oscillators through dynamic control of their interaction. It is observed that introducing intermittency in the interaction term as a function of time or the system state, predictably alters the dynamics of the constituent oscillators. Choosing the nature of the interaction - attractive or repulsive, allows for either suppression of oscillations or stimulation of activity. Two parameters $Δ$ and $τ$, that reign the extent of interaction among subsystems are introduced. They serve as a harness to access the entire range of possible behaviours from fixed points to chaos. For fixed values of system parameters and coupling strength, changing $Δ$ and $τ$ offers fine control over the dynamics of coupled subsystems. We show this experimentally using coupled Chua's circuits and elucidate their behaviour for a range of coupling parameters through detailed numerical simulations.
