The Leading eBooks Store Online 4,034,055 members ⚫ 1,328,001 ebooks

New to

Learn more

Bifurcations in Piecewise-Smooth Continuous Systems

Bifurcations in Piecewise-Smooth Continuous Systems by David John Warwick Simpson
Buy this eBook
US$ 98.00 US$ 89.18
(If any tax is payable it will be calculated and shown at checkout.)
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.
World Scientific Publishing Company; January 2010
256 pages; ISBN 9789814465731
Read online, or download in secure PDF format
Title: Bifurcations in Piecewise-Smooth Continuous Systems
Author: David John Warwick Simpson