摘要
研究了2个耦合Duffing振子组成的哈密顿系统的测度同步现象,从相空间的相图、测度同步与系统的位相关系、系统的裸能量及李雅普诺夫指数等方面研究系统的测度同步的性质,发现系统测度同步的发生与李雅普诺夫指数分叉现象有关.
Measure synchronization is studied in coupled Hamiltonian systems which are composed of two Duffing oscillator.The characteristics of measure synchronization in the systems are further investigated from the phase diagram of phase space,the relationship of measure synchronization and phase synchronization,naked energy and lyapunov exponent aspects.It is found that the change of measure synchronization in coupled Hamiltonian systems is related to lyapunov exponent bifurcation phenomena.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2011年第1期37-44,共8页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(10547111)
内蒙古自然科学基金(200508010105)
关键词
Duffing模型
测度同步
辛算法
Duffing model
measure synchronization
symplectic algorithm
