Bifurcations in piecewise-smooth continuous systems / David John Warwick Simpson.
| Author/creator | Simpson, David John Warwick |
| Format | Electronic |
| Publication Info | New Jersey : World Scientific, |
| Description | xv, 238 p. : ill. (some col.) ; 24 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| 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. ^A870344 |
| Abstract | 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. |
| General note | Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008. |
| Bibliography note | Includes bibliographical references (p. 215-235) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2010484011 |
| ISBN | 9789814293846 |
| ISBN | 9814293849 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |