Bifurcations in piecewise-smooth continuous systems
نام عام مواد
[Book]
نام نخستين پديدآور
/ David John Warwick Simpson
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New Jersey
نام ناشر، پخش کننده و غيره
: World Scientific,
تاریخ نشرو بخش و غیره
, 2010.
مشخصات ظاهری
نام خاص و کميت اثر
xv, 238 p. , ill. (some col.) , 24 cm.
فروست
عنوان فروست
(World Scientific series on nonlinear science. Series A, Monographs and treatises
مشخصه جلد
; v. 70)
يادداشت کلی
متن يادداشت
Originally presented as: Thesis (Ph.D.)--University of Colorado at Boulder, 2008.
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. 215-235) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
فروست (داده ارتباطی)
عنوان
World Scientific series on nonlinear science.Series A,Monographs and treatises
شماره جلد
v. 70
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Bifurcation theory
موضوع مستند نشده
Differential equations
موضوع مستند نشده
Saccharomyces cerevisiae
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )