This paper investigates the synchronization of coupled chaotic systems with time delay in the presence of parameter mismatches by using intermittent linear state feedback control. Quasi-synchronization criteria are obtained by means of a Lyapunov function and the differential inequality method. Numerical simulations on the chaotic systems are presented to demonstrate the effectiveness of the theoretical results.

This paper studies the exponential stabilization of delayed chaotic neural networks (DCNNs) using what is called periodically intermittent control. An exponential stability criterion for the controlled neural networks, together with its simplified version, is established by using the Lyapunov function and Halanay inequality. The feasible region of control parameters is estimated in a rigorous way. Theoretical results and numerical simulations show that the continuous-time DCNN can be stabilized by intermittent feedback control with nonzero duration.

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This paper presents exact, analytical solutions for the transverse vibration of simply supported nanobeams subjected to an initial axial force based on nonlocal elasticity theory. Classical continuum theory is inherently size independent while nonlocal elasticity exhibits size dependence. The latter has signi¯cant e®ects on bending moment, which results in a conceptually di®erent de¯nition of a new e®ective nonlocal bending moment with respect to the corresponding classical bending moment. A sixth-order partial di®erential governing equation is subsequently obtained. The e®ects of nonlocal nanoscale on the vibration frequencies and mode shapes are considered and analytical solutions are solved. E®ects of the nonlocal nanoscale and dimensionless axial force including axial tension and axial compression on the¯rst three mode frequencies are presented and discussed. It is found that the nonlocal nanoscale induces higher natural frequencies and sti®ness of the nano structures.