Local and Global Bifurcations

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 16 in Dynamical Systems with Applications using MATLAB®, 2014, pp 335-354 from Springer

Abstract: Abstract Aims and Objectives • To introduce some local and global bifurcation theory in the plane. • To bifurcate limit cycles in the plane. • To introduce elementary theory of Gröbner bases. On completion of this chapter the reader should be able to • bifurcate small-amplitude limit cycles from fine foci; • solve systems of multivariate polynomial equations; • bifurcate limit cycles from a center; • investigate limit cycle bifurcation from homoclinic loops, numerically.

Keywords: Small Amplitude Limit Cycle; Homoclinic Loop; Lyapunov Quantities; FontSize; MuPAD Command (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06820-6_16

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DOI: 10.1007/978-3-319-06820-6_16

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