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Více informací o knize Bifurcations In Piecewise-smooth Continuous Systems

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Applied mathematics

• Plný název: Bifurcations In Piecewise-smooth Continuous Systems
• Autor: Simpson, David John Warwick (Univ Of British Columbia, Usa)
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 256
• EAN: 9789814293846
• ISBN: 9814293849
• ID: 05069986
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 500 g
• Rozměry: 235 × 162 × 20 mm
• Datum vydání: 15. January 2010

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