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Fundamental Concepts in Bifurcations

In: Bifurcations

Author

Listed:
  • Takashi Matsumoto

    (Waseda University, Department of Electrical Engineering)

  • Motomasa Komuro

    (The Nishi-Tokyo University, Department of Mathematics)

  • Hiroshi Kokubu

    (Kyoto University, Department of Mathematics)

  • Ryuji Tokunaga

    (University of Tsukuba, Institute of Information Science and Electronics)

Abstract

The objective of this chapter is to give some fundamental notions and results in the theory of dynamical systems as well as their bifurcations, which are important in the qualitative study of dynamical systems and are used in the other two chapters, so that readers can become familiar with those important underlying ideas without referring to other textbooks or articles. Since the other chapters mainly deal with vector fields, that is, continuous dynamical systems, the description of this chapter also places more emphasis on continuous dynamical systems than on discrete dynamical systems, although one section is devoted to these discrete systems.

Suggested Citation

  • Takashi Matsumoto & Motomasa Komuro & Hiroshi Kokubu & Ryuji Tokunaga, 1993. "Fundamental Concepts in Bifurcations," Springer Books, in: Bifurcations, chapter 3, pages 297-443, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-68243-1_3
    DOI: 10.1007/978-4-431-68243-1_3
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