Sriram Gokulakrishnan, Parastesh Fatemeh, Natiq Hayder, Rajagopal Karthikeyan, Meucci Riccardo, Jafari Sajad
Centre for Computational Modelling, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India.
Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, Tamilnadu, India.
Chaos. 2023 Nov 1;33(11). doi: 10.1063/5.0174028.
This paper studies the effects of a switching parameter on the dynamics of a multistable laser model. The laser model represents multistability in distinct ranges of parameters. We assume that the system's parameter switches periodically between different values. Since the system is multistable, the presence of a ghost attractor is also dependent on the initial condition. It is shown that when the composing subsystems are chaotic, a periodic ghost attractor can emerge and vice versa, depending on the initial conditions. In contrast to the previous studies in which the attractor of the fast blinking systems approximates the average attractor, here, the blinking attractor differs from the average in some cases. It is shown that when the switching parameter values are distant from their average, the blinking and the average attractors are different, and as they approach, the blinking attractor approaches the average attractor too.
本文研究了一个切换参数对多稳态激光模型动力学的影响。该激光模型在不同的参数范围内表现出多稳态。我们假设系统参数在不同值之间周期性切换。由于系统是多稳态的，幽灵吸引子的存在也取决于初始条件。结果表明，当组成子系统是混沌的时候，根据初始条件，可能会出现周期性幽灵吸引子，反之亦然。与之前关于快速闪烁系统吸引子近似平均吸引子的研究不同，在这里，闪烁吸引子在某些情况下与平均值不同。结果表明，当切换参数值远离其平均值时，闪烁吸引子与平均吸引子不同，而当它们接近时，闪烁吸引子也接近平均吸引子。
