中文摘要：

分析了耦合系统与外界作用力的交互作用,从做功与能量的角度提出了控制随机能量共振的方法.根据二维耦合Langevin方程的随机动力学特性,采用微观动力学和宏观热力学方法,建立了基于单一随机轨线的耦合系统的热力学关系.通过调节施加于控制系统的周期性外力,定量刻画了作用于被控系统的输入力对耦合系统做功的大小与能量转换关系.结果表明,控制信号能控制耦合系统与输入力和噪声之间的相互作用,能有效地控制耦合系统的随机能量共振.

英文摘要：

The interaction of a coupled system and an external force is analyzed. The method of controlling stochastic energetic resonance is proposed from the viewpoint of work done and energy. According to the stochastic dynamics described by two-dimensional coupled Langevin equation, the thermodynamic relations of coupled systems based on single stochastic trajectories are established using microcosmic dynamics and macroscopic thermodynamic methods. By adjusting the periodic external force acting upon the control system, the work that is done on the coupled system by the input force acting on a controlled system and energy conversion relations are quantitatively characterized. The results show that the interaction of a coupled system, an input force and noise can be controlled by the control signal, and stochastic energetic resonance in a coupled system can be effectively con- trolled by the control signal.