基于MATLAB的蔡氏混沌非线性电路的仿真研究

摘要

混沌现象存在于自然界各个领域，在现代科学与工程学领域的应用也十分广泛。通过对混沌现象及其特征，产生的机理和条件的研究，并从理论分析与MATLAB仿真两个角度分别研究了蔡氏混沌电路的演化过程和混沌电路状态，进而构造出符合三阶混沌系统的非线性电路和数学模型。研究结果表明，蔡氏混沌非线性电路中元件参数影响电路混沌状态的演化，仿真数据与理论分析结论一致，随着线性电阻阻值的减小电路状态大致经历：稳定态，周期态，混沌态，负阻尼振荡态。%Chaos exists in nature in various fields, in the field of modern science and engineering applications are very extensive. Through the chaos and its characteristics, the production mechanism and conditions of the study and theoretical analysis and MATLAB simulation from two angles were investigated chaotic circuit evolution and chaos circuit state, and thus construct a third-order chaotic systems with non-compliance linear circuits and mathematical models. The results show that non-linear circuit element Chua circuit parameters that affect the evolution of the chaotic state, the simulation data and theoretical analysis conclusion consistent with the decrease of the linear resistor circuit state generally experience:steady state, periodic state, chaotic state, negative damping oscillation state.