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Author Simpson, David John Warwick.

Title Bifurcations in piecewise-smooth continuous systems [electronic resource] / David John Warwick Simpson.

Imprint New Jersey : World Scientific, 2010.


Location Call No. OPAC Message Status
 Axe ProQuest E-Book  Electronic Book    ---  Available
Description xv, 238 p. : ill. (some col.).
Series World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 70.
Note Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.
Bibliography Includes bibliographical references (p. 215-235) and index.
Summary 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.
Reproduction Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Subject Bifurcation theory.
Differential equations.
Saccharomyces cerevisiae.
Genre/Form Electronic books.
Added Author ProQuest (Firm)
ISBN 9789814293846
9789814293853 (e-book)

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