Chaotic synchronization in small assemblies of driven Chua's circuits
Chaotic synchronization in small assemblies of driven Chua's circuits
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DOI：
10.1109/81.847871
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发表时间：
2000-05
影响因子：
5.1
通讯作者：
E. Sánchez;M. Matías;V. Pérez‐Muñuzuri
中科院分区：
文献类型：
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作者：
E. Sánchez;M. Matías;V. Pérez‐Muñuzuri
混沌同步研究在实验中进行的动态阵列的蔡氏电路连接使用最近推出的驱动方法，特别适合于这种阵列的设计。即，驱动电路具有与驱动电路相同数量的能量存储元件。实验结果得到了理论分析的支持，但阵列的几何排列方式不同，实验结果也不同。在线性阵列的情况下，第一个电路总是以有限的速度将其行为强加给链的其余部分。相反，在环几何形状的情况下，混沌同步状态仅在环的一定尺寸内是稳定的。超过这个临界尺寸，就会发生去混沌分叉，导致混沌旋转波穿过阵列。这种不稳定性是通过执行模式方面的分析来解释的。
Chaotic synchronization is studied in experiments performed on dynamic arrays of Chua's circuits that are connected by using a recently introduced driving method especially suited for the design of such arrays. Namely, the driven circuit has the same number of energy storage elements as the driving circuit. The experimental results, which are supported by theoretical analysis, are different depending on the geometric arrangement of the array. In the case of linear arrays, the first circuit always imposes its behavior on the rest of the chain at a finite velocity. Instead, in the case of ring geometries, the chaotic synchronized state is only stable up to a certain size of the ring. Beyond this critical size a desynchronizing bifurcation occurs, leading to a chaotic rotating wave that travels through the array. This instability is explained by performing an analysis in terms of modes.