Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems

In this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronization are proved. Then, based on these conditions, all solutions of such synchronization phenomenon for a given chaotic system are derived. After that, physical controllers that are not only simple but also implementable are designed to realize the simultaneity of synchronization and antisynchronization in the above system. Finally, illustrative examples based on numerical simulations are used to verify the validity and effectiveness of the above theoretical results.

Partial Contraction Analysis of Coupled Fractional Order Systems

Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems.

Stability and Oscillation for a Coupled Hamiltonian Duffing Oscillator Model with Delays

This paper deals with a coupled Hamiltonian Duffing oscillator model with delays. The stability of the equilibrium for the system is investigated. Synchronization phenomenon occurred. Some sufficient conditions to guarantee the stability and oscillation of the trivial solution are derived. Computer simulations are provided to verify our theoretical results.

Vortex Shedding Control on a Three-Dimensional Ground Vehicle With Synthetic Jets

The study is mainly focused on the influence of the vortex shedding control of a three-dimensional ground vehicle by using synthetic jet actuators based on Large-eddy simulation. Excitation parameters for synthetic jet actuators, such as the excitation frequency, momentum coefficient and jet location, have an influence on vortex shedding control process, which lead to different unsteady flow phenomenon, vortex shedding frequency value and space distribution in the wake. Vortex shedding suppression and vortex-synchronization phenomenon have an influence on the pressure. Under present momentum coefficient, the excitation frequency plays an important role in the occurrence of vortex-synchronization phenomenon behind vertical base. As the momentum coefficient increase, the vortex-synchronization zone expands.