Bifurcations of Continuous Piecewise-Linear Vector Fields

Takashi Matsumoto, Motomasa Komuro, Hiroshi Kokubu and Ryuji Tokunaga
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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

Chapter 2 in Bifurcations, 1993, pp 139-296 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68243-1_2

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DOI: 10.1007/978-4-431-68243-1_2

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