耦合哈密顿系统中测度同步的研究

Study on the measure synchronization in coupled Hamiltonian systems

测度同步现象是耦合哈密顿系统的一种重要性质 .对规则系统和混沌系统的测度同步性质作了深入研究 ,重点讨论了耦合哈密顿系统处于混沌状态时 ,系统测度同步的特点及系统的相位关系 .提出了一种定量判断测度同步的简单方法 。

The phenomenon of measure synchronization is an important property in coupled Hamiltonian systems. In this paper,we investigate the measure synchronization in a chaotic system,and the regularity of phase difference is also discussed in the regular coupled systems and the chaotic coupled system.A new method is proposed for determining the critical coupled strength of transition to the measure synchronization. At the same time,we have studied the influence of Gaussian white noise on the measure synchronization. It is significant to investigate the conservative system using the property of measure synchronization.