How Long to Read Bifurcations in Piecewise-smooth Continuous Systems

By David John Warwick Simpson

How Long Does it Take to Read Bifurcations in Piecewise-smooth Continuous Systems?

It takes the average reader 4 hours and 20 minutes to read Bifurcations in Piecewise-smooth Continuous Systems by David John Warwick Simpson

Assuming a reading speed of 250 words per minute. Learn more

Description

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. NeimarkSacker-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.

How long is Bifurcations in Piecewise-smooth Continuous Systems?

Bifurcations in Piecewise-smooth Continuous Systems by David John Warwick Simpson is 255 pages long, and a total of 65,025 words.

This makes it 86% the length of the average book. It also has 79% more words than the average book.

How Long Does it Take to Read Bifurcations in Piecewise-smooth Continuous Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 55 minutes to read Bifurcations in Piecewise-smooth Continuous Systems aloud.

What Reading Level is Bifurcations in Piecewise-smooth Continuous Systems?

Bifurcations in Piecewise-smooth Continuous Systems is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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