Chandrasekar V K, Gopal R, Venkatesan A, Lakshmanan M
Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA University, Thanjavur 613 401, India.
Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India and Department of Physics, Nehru Memorial College, Puthanampatti, Tiruchirapalli 621 007, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062913. doi: 10.1103/PhysRevE.90.062913. Epub 2014 Dec 18.
We identify the mechanism behind the existence of intensity-induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This in turn increases the number of multistable attractors, and we find that their stability is determined by the strength of coupling. This causes the coexistence of different collective states in the system depending upon the initial state. We demonstrate that intensity-induced chimera is generic to both periodic and chaotic systems. We discuss possible applications of our results to real-world systems like the brain and spin torque nano-oscillators.
我们确定了全局耦合振荡器中强度诱导的嵌合体状态存在背后的机制。我们发现，系统中强度的作用是通过增加固定点的数量来导致多稳定性。这反过来又增加了多稳态吸引子的数量，并且我们发现它们的稳定性由耦合强度决定。这导致系统中根据初始状态存在不同的集体状态。我们证明强度诱导的嵌合体对于周期系统和混沌系统都是普遍存在的。我们讨论了我们的结果在诸如大脑和自旋扭矩纳米振荡器等现实世界系统中的可能应用。
