In this paper, we address chaos control and synchronization problems of a new 3D chaotic system with uncertain parameters. Based on the Lyapunov stability theory and adaptive theory, the adaptive control law is derived such that the trajectory of the new chaotic system with unknown parameters can be globally stabilized to an unstable equilibrium point of the uncontrolled system. Meanwhile, an adaptive control approach is presented to the synchronization between two identical new uncertain chaotic systems. It is shown in detail that the chaos control and synchronization phenomena of this new uncertain 3D chaotic system can be realized by designing suitable adaptive control laws and parameter estimation update laws. In addition, numerical examples are presented to illustrate the feasibility and effectiveness of the theoretical analysis.

The energy problem and limited capacity of batteries have been fundamental constraints in many wireless sensor network (WSN) applications. For WSN, the wireless energy transmission technology based on magnetic resonance coupling is a promising energy transmission technology. To reduce the cost and energy consumption during charging in mobile wireless rechargeable sensor networks (MWRSNs), a cooperative mobile charging mechanism based on the Hamiltonian path is proposed in this paper. To improve the charging task interval, we study the use of a mobile charger (MC) as a mobile sink node to collect the data in this paper. Then, we used the sink and the charging sensors selected by the MC to construct the undirected complete graph. Finally, the Euclidean distance between nodes is used as the edge weight and a Hamiltonian loop is found by using the improved Clark–Wright (C-W) saving algorithm to solve the problem of charging a rechargeable sensor network. In addition to the energy usage efficiency (EUE) and the network lifetime, the average energy loss per unit time is considered as the evaluation index according to the impact of the MC on the energy consumption during charging. The simulation results show that the proposed scheme increases the average network lifetime, decreases the average energy loss per unit time, and improves the EUE.