Local and Global Bifurcations

Stephen Lynch ()
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Stephen Lynch: Loughborough University, Department of Computer Science

Chapter Chapter 18 in Dynamical Systems with Applications Using MATLAB®, 2025, pp 373-394 from Springer

Abstract: Abstract The problem of determining the maximum number of limit cycles for planar differential systems dates back more than 100 years and will be discussed in more detail in Chap. 19 . Local limit cycles can be analyzed in terms of local behavior of the system near to a relevant critical point or limit cycle. The theory involved in global bifurcations is not so well developed and involves larger scale behavior in the plane.

Date: 2025
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DOI: 10.1007/978-3-031-89067-3_18

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