{"product_id":"bifurcations-in-piecewise-smooth-continuous-systems","title":"Bifurcations In Piecewise-smooth Continuous Systems","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.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.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":54257174970712,"sku":"9789814293846","price":113.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9789814293846_b0d1a5e3-81f1-4dd8-84f6-af8bde29d07b.jpg?v=1777609843","url":"https:\/\/agendabookshop.com\/products\/bifurcations-in-piecewise-smooth-continuous-systems","provider":"Agenda Bookshop","version":"1.0","type":"link"}