Goswami B K, Euzzor S, Al Naimee K, Geltrude A, Meucci R, Arecchi F T
Laser and Plasma Technology Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jul;80(1 Pt 2):016211. doi: 10.1103/PhysRevE.80.016211. Epub 2009 Jul 22.
Stochastic disturbances and spikes (sudden sharp fluctuations of any system parameter), commonly observed among natural and laboratory-scale systems, can perturb the multistable dynamics significantly and become a serious impediment when the device is designed for a certain dynamical behavior. We experimentally demonstrate that suitable periodic modulation of any system parameter may efficiently control such stochastic multistability related problems. The control mechanism is verified individually with two standard models (namely, an analog circuit of Lorenz equations and a cavity-loss modulated CO2 laser), against three externally introduced disturbing signals, (namely, white Gaussian noise, pink noise, and train of spikes). Indeed, with both the systems, it has been observed that the modulation is capable to significantly control untoward jumps to coexisting attractors that otherwise would have occurred due to either of the disturbances. These results establish the robustness and wide applicability of this control mechanism in resolving stochastic multistability related problems.
随机扰动和尖峰（任何系统参数的突然急剧波动）在自然系统和实验室规模的系统中普遍存在，它们会显著扰乱多稳态动力学，并且当设备设计用于特定动力学行为时，会成为一个严重障碍。我们通过实验证明，对任何系统参数进行适当的周期性调制可以有效控制此类与随机多稳态相关的问题。针对三种外部引入的干扰信号（即白高斯噪声、粉红噪声和尖峰序列），分别使用两个标准模型（即洛伦兹方程的模拟电路和腔损耗调制二氧化碳激光器）验证了控制机制。事实上，在这两个系统中都观察到，这种调制能够显著控制由于任何一种干扰而原本会发生的向共存吸引子的不良跳跃。这些结果确立了这种控制机制在解决与随机多稳态相关问题方面的稳健性和广泛适用性。
