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 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...

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 network growth model with geographic limitation of accessible information about the status of existing nodes is investigated. In this model, the probability Π(k) of an existing node of degree k is found to be super-linear with Π(k)∼kα and α1 when there are links from new nodes. The...

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...