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David John Warwick Simpson

Bifurcations in Piecewise-Smooth Continuous Systems

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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 parti… Mehr

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Produktdetails


  • ISBN: 978-981-4293-84-6
  • EAN: 9789814293846
  • Produktnummer: 6376232
  • Verlag: World Scientific Pub Co Inc
  • Sprache: Englisch
  • Erscheinungsjahr: 2010
  • Seitenangabe: 238 S.
  • Masse: H23.5 cm x B15.7 cm x D1.8 cm 528 g
  • Reihenbandnummer: 70
  • Gewicht: 528

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