Chaos in rf-driven long Josephson junctions in the presence of an external field.
Chaos in rf-driven long Josephson junctions in the presence of an external field.
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在存在外部场的情况下，射频驱动的长约瑟夫森结中存在混沌。
DOI：
10.1103/physrevb.52.10359
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Kofané
中科院分区：
文献类型：
--
作者：
Kenfack;Kofané
利用基于正弦-戈登方程的模型，研究了恒定直流驱动场作用下射频信号在长约瑟夫森结上引起的混沌响应。我们假设作为初始数据存在于系统中的局部非线性激励为类呼吸模式。因此，为了详细分析复杂的不规则行为（混沌）的开始，我们采用集体坐标理论推导了总哈密顿量和呼吸宽度的耗散函数。用梅尔尼科夫理论和一些数值处理方法预测了该系统混沌的出现。找到了混沌阈值作为系统物理参数的函数。最后，将使我们能够清楚地看到非耗散情况下的现象的庞加莱剖面与解析预测进行了比较，得到了很好的一致性。
Chaotic responses induced by an applied rf signal on the long Josephson junction influenced by a constant dc-driven field are investigated by means of a model based on the sine-Gordon equation. We assume that the localized nonlinear excitations present in the system as initial data are the breatherlike mode. Thus, in order to analyze in detail the onset of the complicated irregular behavior (chaos), we employ collective coordinate theory to derive the total Hamiltonian and the dissipative function in terms of the breather width. The appearance of chaos in this system is predicted by the Melnikov theory and a few numerical treatments. A threshold for chaos as a function of the physical parameters of the system is found. Finally, the Poincar\'e sections, which allow us to see clearly the phenomenon in the nondissipative case, is compared to the analytical prediction and good agreement is obtained.