Bifurcations In Piecewise-smooth Continuous Systems - World Scientific Series on Nonlinear Science Series A 70 (Hardback)
  • Bifurcations In Piecewise-smooth Continuous Systems - World Scientific Series on Nonlinear Science Series A 70 (Hardback)
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Bifurcations In Piecewise-smooth Continuous Systems - World Scientific Series on Nonlinear Science Series A 70 (Hardback)

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£101.00
Hardback 256 Pages / Published: 15/01/2010
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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 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.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789814293846
Number of pages: 256
Weight: 454 g
Dimensions: 229 x 155 x 20 mm

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