Dissipative Nambu systems and oscillator circuit design
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概要
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Electronic oscillators have to be described by nonlinear differential equations with a limit cycle where analytical solutions are rarely predictable. Therefore, design concepts of oscillators are not available where a designer can start with a complete set of specifications of the desired oscillator. Only linear aspects of the oscillator design can be solved in a reasonable manner. In this paper we present a mathematical concept that is appropriate to construction nonlinear differential equations with a limit cycle. For this purpose we use a concept from theoretical physics, the so-called Nambu mechanics, and add canonical dissipation. It can be shown that a limit cycle arises under certain conditions. Based on the corresponding system of differential equations a SIMULINK model is constructed that can be the basis of a circuit realization.
- The Institute of Electronics, Information and Communication Engineersの論文
The Institute of Electronics, Information and Communication Engineers | 論文
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