电光混合系统超混沌控制、同步与应用研究
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摘要
超混沌产生、控制和同步是非线性动力学的重要前沿课题之一。在这一领域开展研究，未知空间广阔，具有巨大的应用潜力。
本文利用电学参数调制法和单元功能电路模块化思想，研究了电光混合系统超混沌的控制与同步，并对其在保密通信中的应用进行了实验研究。全文内容主要包括四个主要研究方面：①电参数调制光学系统，形成超混沌控制和同步；②单元功能电路法构造超混沌电路实现超混沌控制和同步；③推导复合映射动力学方程产生扩频序列构造数字化电路模块；④利用超混沌动力学系统展开保密通信实验应用研究。
第一部分电参数调制光学系统，形成超混沌控制和同步。首先介绍了电光混合系统的混沌与超混沌的研究进展，概述了电学和光学领域中超混沌的最新研究成果。然后建立起以半导体激光器和双环铒光纤激光器为主要研究对象的电光混合系统的动力学模型，对光学系统施加电学调制使之产生超混沌，并利用电参数调整法对光学系统超混沌施加控制和同步，也就是用电去控制和左右光学系统的动力学行为。
第二部分研究单元功能电路法构造超混沌电路实现超混沌控制和同步。首先利用单元功能电路模块化思想，构造电路系统本身，使之产生超混沌，其目的是一方面可以自身进行控制和同步化，另一方面可对光学系统施加更高级控制和同步。以经典CLHS超混沌动力学系统作为问题切入点，利用单元功能电路研究构建一个四阶和两个五阶超混沌电路，并加以控制和同步。通过示波器观测实验、数值模拟计算对比分析去验证系统的可靠性。
第三部分推导并建立一个复合映射动力学方程产生扩频序列构造数字化电路模块。利用非线性动力学方程和超混沌电路，通过扩频序列或者超混沌设计出能够实现超混沌加密的单元器件。设计开发一个能够在计算机上运行并能够实现超混沌加密图文图像等多媒体文档的应用
柏逢明:博士学位论文
软件。
第四部分利用超混沌动力学系统展开保密通信实验应用研究。利用
所研究的超混沌成果:①扩频序列数字电路超混沌模块;②计算机应用
系统中图文图像等多媒体文档的加密软件;③软件无线电通信系统保密
单元，开展实验应用研究，目的是在现有条件下促使研究成果尽快在科
研领域中加以应用。通过时间连续与离散的超混沌保密通信对比，进一
步讨论超混沌通信过程中的调制解调、杭干扰和误码率问题。在进行调
制、解调通信密码传输的误差及精度分析基础上研究其影响规律。
The generation, control, and synchronization of hyperchaos are one of the most important problems in the field of nonlinear dynamics. It has great applying potentialities which relate to broadly unknown subjects.
In this dissertation we make used some methods of modulation with electronics parameter and modularization ideas of unit of function circuit, to study the control and synchronization of hyperchaos in System Combined Electronics with Optics(for short SCEO), and research its applications of secure communications experiment. There are mainly four parts about control synchronization of hyperchaos and their application in this paper: Optic systems is modulated with electronic parameters, the unit of function circuit is applied to construct circuit system, educed a equation of the nonlinear dynamics of complex map and designed a kind of digital circuit used to spread spectrum sequence and application experiment of secure communication system.
In part one, optical system is modulated with electronic parameters; realize control and synchronization in hyperchaotic system combined electronics with optics. First we introduce the development of the SCEO about chaos and hyperchaos. summarize the research results in the field of electronics and optics up to date, make used of electronics modulation put on to optical system to make it generate hyperchaos, and then we set up two devices, to study dynamic model these SCEO, it based on semiconductor laser and Erbium-doped fiber laser, more study make used of electronics modulation put on to optical system realize control and synchronization hyperchaos, that is, It use electric signal to control the dynamic behavior of the optical system.
In part two, we use a method of the unit of function circuit to structure some hyperchaotic circuits realize the control and synchronization of hyperchaos. First we adopt modularization design ideas of unit of function circuit, construct the system of nonlinear circuit, and make it generates. One side, it can take control and synchronization himself. And on the other side, it also
can take more advanced control and synchronization for optics system. Adopt a classical CLHS hyperchaotic dynamics system as research problem object. Use the unit of function circuit to construct one 4D and two 5D hyperchaotic circuit systems, and make it to be controlled and synchronized. The reliabilities of these system are validated through be observed oscillograph, numerical simulations and numerical analysis.
In part three, educed an equation of the nonlinear dynamic equation of complex map and designed a kind of digital circuit used to spread spectrum sequence. Make used of nonlinear dynamic equation and hyperchaotic circuit and through spread spectrum sequence or hyper chaos design the secure secrecy unit of hyperchaotic device. Other the hyperchaos application software is designed which can be used to operate on computer and realize multimedia secrecy function such as text files, picture files, speech language and so on.
In part four, research and discuss application experiment of secure communication system. To utilize hyperchaos research results, we begin some application study such as digital circuit of the spread spectrum sequence of hyperchaos, the hyperchaos application software used for multimedia files of secrecy with computer, unit of secrecy based on the software radio communication. Through secrecy communication contrast the time series with disperse in the hyperchaotic system; more discuss its some problem such as modulation and demodulation, anti-jamming and bit error rate. Another, more analyzed its influencing orderliness in codes transmits.
本文利用电学参数调制法和单元功能电路模块化思想，研究了电光混合系统超混沌的控制与同步，并对其在保密通信中的应用进行了实验研究。全文内容主要包括四个主要研究方面：①电参数调制光学系统，形成超混沌控制和同步；②单元功能电路法构造超混沌电路实现超混沌控制和同步；③推导复合映射动力学方程产生扩频序列构造数字化电路模块；④利用超混沌动力学系统展开保密通信实验应用研究。
第一部分电参数调制光学系统，形成超混沌控制和同步。首先介绍了电光混合系统的混沌与超混沌的研究进展，概述了电学和光学领域中超混沌的最新研究成果。然后建立起以半导体激光器和双环铒光纤激光器为主要研究对象的电光混合系统的动力学模型，对光学系统施加电学调制使之产生超混沌，并利用电参数调整法对光学系统超混沌施加控制和同步，也就是用电去控制和左右光学系统的动力学行为。
第二部分研究单元功能电路法构造超混沌电路实现超混沌控制和同步。首先利用单元功能电路模块化思想，构造电路系统本身，使之产生超混沌，其目的是一方面可以自身进行控制和同步化，另一方面可对光学系统施加更高级控制和同步。以经典CLHS超混沌动力学系统作为问题切入点，利用单元功能电路研究构建一个四阶和两个五阶超混沌电路，并加以控制和同步。通过示波器观测实验、数值模拟计算对比分析去验证系统的可靠性。
第三部分推导并建立一个复合映射动力学方程产生扩频序列构造数字化电路模块。利用非线性动力学方程和超混沌电路，通过扩频序列或者超混沌设计出能够实现超混沌加密的单元器件。设计开发一个能够在计算机上运行并能够实现超混沌加密图文图像等多媒体文档的应用
柏逢明:博士学位论文
软件。
第四部分利用超混沌动力学系统展开保密通信实验应用研究。利用
所研究的超混沌成果:①扩频序列数字电路超混沌模块;②计算机应用
系统中图文图像等多媒体文档的加密软件;③软件无线电通信系统保密
单元，开展实验应用研究，目的是在现有条件下促使研究成果尽快在科
研领域中加以应用。通过时间连续与离散的超混沌保密通信对比，进一
步讨论超混沌通信过程中的调制解调、杭干扰和误码率问题。在进行调
制、解调通信密码传输的误差及精度分析基础上研究其影响规律。
The generation, control, and synchronization of hyperchaos are one of the most important problems in the field of nonlinear dynamics. It has great applying potentialities which relate to broadly unknown subjects.
In this dissertation we make used some methods of modulation with electronics parameter and modularization ideas of unit of function circuit, to study the control and synchronization of hyperchaos in System Combined Electronics with Optics(for short SCEO), and research its applications of secure communications experiment. There are mainly four parts about control synchronization of hyperchaos and their application in this paper: Optic systems is modulated with electronic parameters, the unit of function circuit is applied to construct circuit system, educed a equation of the nonlinear dynamics of complex map and designed a kind of digital circuit used to spread spectrum sequence and application experiment of secure communication system.
In part one, optical system is modulated with electronic parameters; realize control and synchronization in hyperchaotic system combined electronics with optics. First we introduce the development of the SCEO about chaos and hyperchaos. summarize the research results in the field of electronics and optics up to date, make used of electronics modulation put on to optical system to make it generate hyperchaos, and then we set up two devices, to study dynamic model these SCEO, it based on semiconductor laser and Erbium-doped fiber laser, more study make used of electronics modulation put on to optical system realize control and synchronization hyperchaos, that is, It use electric signal to control the dynamic behavior of the optical system.
In part two, we use a method of the unit of function circuit to structure some hyperchaotic circuits realize the control and synchronization of hyperchaos. First we adopt modularization design ideas of unit of function circuit, construct the system of nonlinear circuit, and make it generates. One side, it can take control and synchronization himself. And on the other side, it also
can take more advanced control and synchronization for optics system. Adopt a classical CLHS hyperchaotic dynamics system as research problem object. Use the unit of function circuit to construct one 4D and two 5D hyperchaotic circuit systems, and make it to be controlled and synchronized. The reliabilities of these system are validated through be observed oscillograph, numerical simulations and numerical analysis.
In part three, educed an equation of the nonlinear dynamic equation of complex map and designed a kind of digital circuit used to spread spectrum sequence. Make used of nonlinear dynamic equation and hyperchaotic circuit and through spread spectrum sequence or hyper chaos design the secure secrecy unit of hyperchaotic device. Other the hyperchaos application software is designed which can be used to operate on computer and realize multimedia secrecy function such as text files, picture files, speech language and so on.
In part four, research and discuss application experiment of secure communication system. To utilize hyperchaos research results, we begin some application study such as digital circuit of the spread spectrum sequence of hyperchaos, the hyperchaos application software used for multimedia files of secrecy with computer, unit of secrecy based on the software radio communication. Through secrecy communication contrast the time series with disperse in the hyperchaotic system; more discuss its some problem such as modulation and demodulation, anti-jamming and bit error rate. Another, more analyzed its influencing orderliness in codes transmits.
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