World Scientific Publishing Company Incorporated
Continuous and Discontinuous Piecewise-smooth One-dimensional Maps : Invariant Sets and Bifurcation Structures
$244.88
World Scientific Publishing Company
Bifurcations in Piecewise-Smooth Continuous Systems
Product Code:
9789814293846
ISBN13:
9789814293846
Condition:
New
$130.79
Bifurcations in Piecewise-Smooth Continuous Systems
$130.79
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.
| Author: David John Warwick Simpson |
| Publisher: World Scientific Publishing Company |
| Publication Date: 40267 |
| Number of Pages: 256 pages |
| Binding: Science |
| ISBN-10: 9814293849 |
| ISBN-13: 9789814293846 |
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