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The Design and Research of Nonlinear Chaotic Circuit

Author: SongHongWei
Tutor: WangXueShui
School: Shandong University of Science and Technology
Course: Physical Electronics
Keywords: Chaos Circuit Analysis Operational amplifier Chaotic system Numerical calculation Secure communication
CLC: O415.5
Type: Master's thesis
Year: 2011
Downloads: 136
Quote: 0
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Abstract


Chaos is deterministic nonlinear system of internal random process , which is characterized by extreme sensitivity to the initial conditions of the system . Extensive research , Chaos and engineering and technical contact more and more closely , there is a wide range of applications in the field of bio-engineering , mechanical engineering , electronic engineering , chemical engineering , information engineering , computer engineering , applied mathematics and experimental physics prospects . Nonlinear chaotic circuit is an important part of modern nonlinear science . The chaotic circuit including the chaotic circuit theory and applied research , between these two chaotic circuit experiment plays a vital role . First, the article describes the emergence and development of chaos theory , Study of chaos at home and abroad the status quo , and the chaos theoretical significance and application value elaborated . Then , more systematic summarizes the work of their predecessors , including the definition of chaos , chaos basic characteristics and related concepts of chaos theory , and methods of analysis of the chaotic system to do a systematic study . Next, the theory of chaotic circuit to do in-depth research , the nonlinear chaotic circuit the overall design of the experimental apparatus , and circuit implementation of the experimental instrument in each unit were carried out detailed argumentation and elaboration , the use of the operational amplifier and resistive and capacitive components of the basic principles of chaotic systems , and the proposed use of the operational amplifier and RC component design chaotic systems , and ultimately from the hardware circuit verification of the chaotic system dynamics . Finally, the article describes a new chaotic system , the nonlinear dynamics , on the basis of the numerical calculation using MATLAB software system simulation by scalar transform the system of equations into the equation of state , draw the circuit schematic , according to the equation of state , the method to select the appropriate circuit parameters introduced Finally, a typical application of the chaotic circuit - chaotic masking secure communication . Some practical value in the design and implementation of non-linear chaotic circuit experimental apparatus for the experimental study of chaotic circuits and the teaching of non-linear circuits , thesis topics has some theoretical significance and application prospects .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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