The piston motion of HFPE (hydraulic free-piston engine) was determined by the forces acting on the mover rather than on the crankshaft. This makes the complex interaction coupling between the piston motions and the combustion process. These factors lead to the combustion in the HFPE unstable...

This paper presents some applications of the canonical dual theory in optimal control problems. The analytic solutions of several nonlinear and nonconvex problems are investigated by global optimizations. It turns out that the backward differential flow defined by the KKT equation may reach the...

Based on recent work [B. Lindner and E. M., Nicola, Phys. Rev. Lett. 101 (2008) 190603], the transport of N globally coupled Brownian motors with diversity is investigated. By applying the mean-field approximation, the effects of the diversity disturbance and the coupling strength on the...

A stochastic system with coupling between non-Gaussian and Gaussian noise terms is investigated. A general approximate Fokker–Planck equation of the system is derived through a path-integral approach. For a bistable system, the coupling λ between noise terms can induce the reentrance-like...

The phenomena of diversity-induced resonance in a coupled bistable system are investigated numerically and analytically when two different characteristic time delays are considered, i.e., the feedback time delay and the coupling time delay. By applying the mean-field approximation, the...

The transport of the coupled Brownian ratchets with two different kinds of time delays is investigated. The increase of the feedback delay reduces the transport with oscillations. While increasing the coupling delay increases the transport with some irregular oscillations and finally saturates...