时滞耦合约瑟夫森结系统的时空特性

项目名称： 时滞耦合约瑟夫森结系统的时空特性

项目编号： No.11205104

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 物理学II

项目作者： 张晓明

作者单位： 深圳大学

项目金额： 22万元

中文摘要： 本项目拟提出含时滞的约瑟夫森结系统，并用非时滞耦合和时滞耦合方式构造一、二维约瑟夫森结阵列系统，研究这些系统的时空特性。在已有约瑟夫森结系统中，结合该系统中实际发生的物理过程，适当引入形式简单的时滞项，建立含时滞的约瑟夫森结混沌或超混沌系统。以所构建的含时滞约瑟夫森结系统为元胞，用非时滞耦合及时滞耦合构造一、二维约瑟夫森结阵列系统，研究在不同形式的外场、参数、拓扑耦合结构和边界条件等情况下，时滞对耦合系统中的协同效应、相变等诸多问题的影响，探究其产生的原因和规律。设计并搭建含时滞约瑟夫森结系统电路及耦合约瑟夫森结阵列电路，从实验上验证上述理论分析结果。期望能为含时滞约瑟夫森结器件的制备和它的潜在应用提供有借鉴意义的理论和实验基础。

中文关键词： 时滞耦合；含时滞约瑟夫森结；等效电路模型；时空特性；自相似控制

英文摘要： We study the spatiotemperal characteristics of time delay coupled chaotic Josephson junction systems. The time-delayed chaotic or hyperchaotic Josephson junction system is formulated by introducing time-delayed term into the existing Josephson junction model according to the real physical processes. Then using the formulated time-delayed chaotic Josephson system, we construct one-dimensional and two-dimensional coupled Josephson junction array systems by instantaneous and time-delayed couplings. The spatiotemperal characteristics of these formulated systems, such as coordination effects, phase transition, etc., are studied under different external fields, parameters, topological structure and boundary conditions. Based on these theoretical results, the electronic circuits of the formulated time-delayed chaotic Josephson junction systems are designed. The spatiotemperal characteristics of one-dimensional and two-dimensional time delay coupled Josephson junction array systems are testified by the electronic circuit experiments. We hope that above works can provide meaningful theoretical and experimental results for the preparation and potential applications of time-delayed Josephson junction devices.

英文关键词： time-delayed coupling；time-delayed Josephson junction；equivalent circuit model；spatiotemperal characteristic；self-similar control