Bifurcations in piecewise-smooth continuous systems /
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| Author / Creator: | Simpson, David John Warwick. |
|---|---|
| Imprint: | Singapore ; Hackensack, NJ : World Scientific, 2010. |
| Description: | xv, 238 p. : ill. (some col.) ; 24 cm. |
| Language: | English |
| 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. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8056368 |
MARC
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| 100 | 1 | |a Simpson, David John Warwick. |0 http://id.loc.gov/authorities/names/no2010112973 |1 http://viaf.org/viaf/128253786 | |
| 245 | 1 | 0 | |a Bifurcations in piecewise-smooth continuous systems / |c David John Warwick Simpson. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c 2010. | ||
| 300 | |a xv, 238 p. : |b ill. (some col.) ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a World Scientific series on nonlinear science. Series A, Monographs and treatises ; |v v. 70 | |
| 500 | |a Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Bifurcation theory. |0 http://id.loc.gov/authorities/subjects/sh85013940 | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 0 | |a Saccharomyces cerevisiae. |0 http://id.loc.gov/authorities/subjects/sh87002577 | |
| 650 | 7 | |a Bifurcation, Théorie de la. |2 ram | |
| 650 | 7 | |a Équations différentielles. |2 ram | |
| 650 | 7 | |a Bifurcation theory. |2 fast |0 http://id.worldcat.org/fast/fst00831564 | |
| 650 | 7 | |a Differential equations. |2 fast |0 http://id.worldcat.org/fast/fst00893446 | |
| 650 | 7 | |a Saccharomyces cerevisiae. |2 fast |0 http://id.worldcat.org/fast/fst01103039 | |
| 830 | 0 | |a World Scientific series on nonlinear science. |n Series A, |p Monographs and treatises ; |v v. 70. | |
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| 927 | |t Library of Congress classification |a QA380 .S55 2010 |l Eck |c Eck-Eck |e ABST |b 089541570 |i 8772268 | ||
