摘要
基于相轨迹随时间的变化规律,提出了混沌振荡系统空时复杂度的概念,给出了空时复杂度的定义和计算方法.定义物理意义直观明确,与Lyapunov指数计算相比,方法计算量少,便于实际应用.以Duffing振子为例,通过数值仿真与实验,研究了混沌振荡系统的空时复杂度,实验结果表明空时复杂度可以很好地刻画Duffing振子丰富的动力学特性.
Based on the fact that trajectories which start as neighbors diverge away even- tually from each other in exponential fashion, spatiotemporal complexity （STC） was defined for measured the complexity of chaotic oscillatory systems. In comparison with Lyapunov exponent of simulation results, the efficiency and advantages of the proposed measure are obvious. Simulation results show that the STC can effectively character the dynamic behavior of Duffing oscillator.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第18期123-129,共7页
Mathematics in Practice and Theory
