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Bifurcations pp 139-296 | Cite as

Bifurcations of Continuous Piecewise-Linear Vector Fields

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

Abstract

This chapter provides several fundamental theorems for continuous piecewise-linear vector fields. In Section 2.2, we will give a definition of continuous piecewise-linear mappings. And we will give a fundamental representation theorem (Standard Form) for an arbitrary continuous piecewise-linear mapping.

Keywords

Vector Field Normal Form Periodic Point Homoclinic Orbit Homoclinic Bifurcation 
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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