论文标题
混合雷利 - 莱利德非线性振荡器中通过脉搏形爆炸的极端破裂事件
Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Lienard nonlinear oscillator
论文作者
论文摘要
我们研究了参数和外部驱动的雷利 - 莱利德混合模型的动力学，并报告了由于新型的脉搏形爆炸机制而引起的极端爆发事件的出现。该系统表现出复杂的周期性和混乱的爆发模式，在较小的振荡中，随着激发频率的函数。特别是，为某些参数区域出现的稀有和复发性混乱爆发的出现被描述为极端事件。我们已经确定，在系统的平衡点中发生的锐脉冲样过渡的出现是爆发事件发展的基本机制。此外，尝试通过合并线性阻尼项来尝试极端事件的控制方面，我们表明，对于足够强大的阻尼强度，从系统中消除了极端事件，并且只有周期性的爆发是可行的。
We study the dynamics of a parametrically and externally driven Rayleigh-Lienard hybrid model and report the emergence of extreme bursting events due to a novel pulse-shaped explosion mechanism. The system exhibits complex periodic and chaotic bursting patterns amid small oscillations as a function of excitation frequencies. In particular, the advent of rare and recurrent chaotic bursts that emerged for certain parameter regions is characterized as extreme events. We have identified that the appearance of a sharp pulse-like transition that occurred in the equilibrium points of the system is the underlying mechanism for the development of bursting events. Further, the controlling aspect of extreme events is attempted by incorporating a linear damping term, and we show that for sufficiently strong damping strength, the extreme events are eliminated from the system, and only periodic bursting is feasible.
