强耦合混沌系统中的近似同步

以单向驱动耦合Lorenz振子一维链为研究对象，研究振子间的混沌同步行为. 数值计算结果表明，对于变量y驱动x的耦合方式，在合适的耦合强度下，会出现第一个振子和第二个振子不同步，而与次近邻非直接连接的振子(如第三个振子)近似同步. 进一步研究表明，出现这一现象的原因是在大耦合强度下，对于这种驱动方式，第一个振子和第二个振子间出现驱动单变量近似同步；虽然它们之间未出现所有变量的完全同步，但是驱动信号事实上已经传递下去了. 关键词：Lorenz振子混沌同步近似同步

Approximate synchronization of strongly coupled chaotic systems

The chaotic synchronization in a one-way coupled oscillator array is studied. We find that, in certain coupling schemes (for example, the variable y driving x in the Lorenz system) and under proper coupling strengths, a nonlocal approximate synchronization happens between the first and the third oscillator, or all succeeding ones, which are not directly connected, accompanied with a desynchronization between the first and the closest, namely the second one. More detailed observation finds that under sufficiently strong coupling, there exists a single-driving-signal (not all three variables) synchronization between the first and the second oscillator that transfers the synchronization information to all remaining oscillators in the array. The nonlocal synchronization is a general phenomenon that has been observed in other systems.