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Bifurcations In Piecewise-smooth Continuous Systems on Hardback by David John Warwick Simpson
Bifurcations In Piecewise-smooth Continuous Systems on Hardback by David John Warwick Simpson
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Bifurcations In Piecewise-smooth Continuous Systems

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Description

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail.Neimark-Sacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems.
Release date NZ
January 15th, 2010
Audiences
  • Professional & Vocational
  • Tertiary Education (US: College)
Pages
256
Dimensions
155x229x20
ISBN-13
9789814293846
Product ID
5846064

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