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Bifurcations Observed from Electronic Circuits

  • Takashi Matsumoto
  • Motomasa Komuro
  • Hiroshi Kokubu
  • Ryuji Tokunaga

Abstract

The purpose of this chapter is to give concrete experimental as well as numerical results of bifurcation phenomena in electronic circuits together with reasonable theoretical justifications. All circuits described are so simple that high school students can build them. All of them except for one, in addition, behave within audible frequencies. We strongly recommend that the reader build at least one of them, and take a look at and listen to the bifurcations. It is a lot of fun.

Keywords

Lyapunov Exponent Hopf Bifurcation Bifurcation Diagram Chaotic Attractor Homoclinic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Tokyo 1993

Authors and Affiliations

  • Takashi Matsumoto
    • 1
  • Motomasa Komuro
    • 2
  • Hiroshi Kokubu
    • 3
  • Ryuji Tokunaga
    • 4
  1. 1.Department of Electrical EngineeringWaseda UniversityShinjuku-ku, TokyoJapan
  2. 2.Department of MathematicsThe Nishi-Tokyo UniversityUenohara-machi, Kitatsurugun, Yamanashi-PrefectureJapan
  3. 3.Department of MathematicsKyoto UniversityKyotoJapan
  4. 4.Institute of Information Science and ElectronicsUniversity of TsukubaTsukuba Science CityJapan

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