Dissipative Nambu systems and oscillator circuit design

• Mathis Wolfgang

  Institute of Theoretical Electrical Engineering, Leibniz Universität Hannover

• Mathis Richard

  Department of Physics, University of Göttingen

抄録

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.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 5 (3), 259-271, 2014

  一般社団法人 電子情報通信学会

キーワード

• nonlinear circuits
• oscillators
• dynamical systems
• limit cycles
• Nambu mechanics
• canonical dissipation

詳細情報

• CRID: 1390282680323160064
• NII論文ID: 130004555681
• DOI: 10.1587/nolta.5.259
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/5/3/5_259/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可