中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120512-120512.doi: 10.1088/1674-1056/ac1b83
所属专题: SPECIAL TOPIC — Interdisciplinary physics: Complex network dynamics and emerging technologies
Karthikeyan Rajagopal1,†, Anitha Karthikeyan2, and Balamurali Ramakrishnan1
Karthikeyan Rajagopal1,†, Anitha Karthikeyan2, and Balamurali Ramakrishnan1
摘要: A fractional-order difference equation model of a third-order discrete phase-locked loop (FODPLL) is discussed and the dynamical behavior of the model is demonstrated using bifurcation plots and a basin of attraction. We show a narrow region of loop gain where the FODPLL exhibits quasi-periodic oscillations, which were not identified in the integer-order model. We propose a simple impulse control algorithm to suppress chaos and discuss the effect of the control step. A network of FODPLL oscillators is constructed and investigated for synchronization behavior. We show the existence of chimera states while transiting from an asynchronous to a synchronous state. The same impulse control method is applied to a lattice array of FODPLL, and the chimera states are then synchronized using the impulse control algorithm. We show that the lower control steps can achieve better control over the higher control steps.
中图分类号: (Nonlinear dynamics and chaos)