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Biblioteca Dr. Antonio Monteiro · Catálogo |
| LDR | ·····cam##22·····5a#4500 |
| 001 | 006465 |
| 005 | 20130314174817.0 |
| 008 | 100927s2010####njua#####b####001#0#eng#d |
| 245 | 10 | $a Bifurcations in piecewise-smooth continuous systems / $c David John Warwick Simpson. |
| 260 | ## | $a New Jersey : $b World Scientific, $c 2010. |
| 300 | ## | $a xv, 238 p. : $b il. (algunas col.) ; $c 24 cm. |
| 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 Incluye referencias bibliográficas (p. 215-235) e índice. |
| 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. |
| 020 | ## | $a 9789814293846 |
| 020 | ## | $a 9814293849 |
| 100 | 1# | $a Simpson, David John Warwick. |
| 830 | #0 | $a World Scientific series on nonlinear science. $n Series A, $p Monographs and treatises ; $v v. 70. |
| 650 | #0 | $a Bifurcation theory. |
| 650 | #0 | $a Differential equations. |
| 650 | #0 | $a Saccharomyces cerevisiae. |
| 084 | ## | $a 37Gxx (92C99) $2 msc2000 |
| 010 | ## | $a ##2010484011 |
| 040 | ## | $a BTCTA $b eng $c BTCTA $d YDXCP $d FQG $d BWX $d TXA $d SINLB $d DLC |
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