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Incommensurate Fractional-Order Chaotic System and Its Circuit Implementation

机译：不相称的分数阶混沌系统及其电路实现

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摘要

The design of a chaotic circuit has been thought of as a key factor for the application of nonlinear chaotic system. In order to realize the application of chaotic systems in various engineering fields, based on three-dimensional generalized Lorentz system, a novel different fractional-order four-dimensional chaotic system, which could improve the complexity of chaotic signals, is presented. The chaotic dynamical properties of the proposed system are investigated in the way of bifurcation and phase diagram. Analysis shows that the lowest order for the different fractional-order is 3.39. What is more, the new system was achieved in analog circuits with two different design methods. A two-stage operational amplifier is used at the input end of the circuit designed by the traditional method, which has the advantages of easy selection of resistance value and reduction of input resistance value. A novel circuit, with fewer components is designed at the same time. Multisim experimental results are put forward to demonstrate the effectiveness of the circuit.
机译：混沌电路的设计被认为是非线性混沌系统应用的关键因素。为了实现混沌系统在各个工程领域的应用，基于三维广义洛伦兹系统，提出了一种新型的分数阶四维混沌系统，可以提高混沌信号的复杂度。通过分叉和相图的方式研究了所提出系统的混沌动力学性质。分析表明，不同分数阶的最低阶为3.39。而且，新系统是通过两种不同的设计方法在模拟电路中实现的。采用传统方法设计的电路的输入端采用两级运算放大器，具有易于选择电阻值和减小输入电阻值的优点。同时设计了一种新颖的电路，具有更少的组件。提出了Multisim实验结果以证明该电路的有效性。

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