The Simulation of Chaotic Circuits and Spectrum Analysis

[[abstract]]本篇論文主要是分析探討典型的蔡氏電路外，利用OP AMP來等效模擬電感器應用在混沌電路中，進行混沌及多渦捲混沌吸引子的模擬觀察，透過模擬軟體CircuitMaker，對混沌電路模擬分析各狀態下的雙渦捲吸引子波形、電壓-時間波形及Fourier頻譜分析波形，觀測其示波器所產生的信號特徵，再比較各電路的差異與同步控制範圍，並於實驗中量測混沌信號波形，與CircuitMaker模擬之訊號波形相互對照。 本論文同時研究討論低損失、無損失與通用阻抗轉換器等效電感針對外加驅動信號於混沌電路的影響，增加混沌信號的複雜性，利於保密通訊不易被破解。 研究憶阻器混沌系統電路所產生的混沌電路信號，並於實驗中觀測混沌信號波形，與Fourier頻譜分析量測波形。嘗試模擬單OP/ Riordan無損失模擬電感耦合型蔡氏電路能否耦合匹配成4渦捲混沌系統的可行性。比較觀測其同步控制與訊號變化性。先利用電壓隨耦器將兩組混沌電路耦合產生4渦捲吸引子，並實驗量測波形。[[abstract]]This paper is to analyze the typical Chua's circuit that the use of OP AMP to the equivalent analog inductor used in chaos The multi-scroll chaotic attractor is simulated and observed through simulation software CircuitMaker We perform the circuit simulation of chaos analysis and the state of the double-scroll attractor wave We observed the voltage - time waveform and Fourier spectrum analysis We compare the differences of each circuit and synchronization control and chaos in the experiment measuring the signal waveform the signal waveform with CircuitMaker simulated cross-referencing We also study the low-loss inductor and discussion without loss of general impedance converter and the equivalent inductance for the external drive signal to the chaotic circuits increasing the complexity of the chaotic signal It helps secure communication and can not easily be cracked The first device using the voltage follower circuit coupled to generate two sets of 4-scroll chaotic attractor and experimental measurement waveform Finally we study the memristor circuit chaotic system We observed the chaotic signals in the experimental waveform and Fourier spectrum analysis measurement waveform We simulate a single OP / Riordan lossless analog inductive coupling coupled Chua's circuit that can match a 4-scroll chaotic syste