Bifurcations in piecewise-smooth continuous systems /
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 sys...
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New Jersey :
World Scientific,
2010.
|
| Series: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 70. |
| Materias: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Sumario: | 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. |
|---|---|
| descripción de la copia: | Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008. |
| Descripción Física: | xv, 238 p. : il. (algunas col.) ; 24 cm. |
| Bibliografía: | Incluye referencias bibliográficas (p. 215-235) e índice. |
| ISBN: | 9789814293846 9814293849 |