Jian-Gang Zhang

TL;DR: In this article, the high-definition resolution phase diagrams are used to identify how the complex mode-locking behaviors arise with the parameters changed, and the interesting "Devils staircase" is presented with the parameter changed, meanwhile, the modelocking structure is organized according to the broken Farey tree sequence.

TL;DR: In this article, a two-degree-of-freedom vibratory system with symmetric rigid stops is considered, where the maximum displacement of one of the masses is limited to a threshold value by the symmetrical rigid stops.

TL;DR: In this article, the authors dealt with the dynamical behaviors of a discrete SIR epidemic model with the saturated contact rate and vertical transmission, and investigated the local stability of equilibriums.

TL;DR: In this article, the authors introduce a discretization process to discretize a modified fractional-order optically injected semiconductor laser model and investigate its dynamical behaviors. And they show that the system's fractional parameter has an effect on the stability of the discrete system, and the system has rich dynamic characteristics such as Hopf bifurcation, attractor crisis, and chaotic attractors.

TL;DR: In this paper, the authors report the topology of stable periodic solutions of an SIR epidemic dynamics model with impulsive vaccination control, a hybrid discrete/continuous non-smooth system, in the parameter plane spanned by the pulse period T and the quantity of pulse vaccination b.