{"product_id":"bifurcations-of-planar-vector-fields-and-hilberts-sixteenth-problem-von-robert-roussarie","title":"Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem","description":"\n                \u003cp\u003eIn a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets.\u003c\/p\u003e\n                \u003cp\u003eThe methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations.\u003c\/p\u003e\n                \u003cp\u003e- - -\u003c\/p\u003e\n                \u003cp\u003e\n                    \u003ci\u003eThe book as a whole is a well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses.\u003c\/i\u003e \u003cbr\u003e(Mathematical Reviews)\u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034807173\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034897785\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783764359003\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783034807173","offer_id":39424524910685,"sku":"9783034807173","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783034897785","offer_id":39424524812381,"sku":"9783034897785","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783764359003","offer_id":50693579590,"sku":"9783764359003","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/17662db0-6bed-4224-9ff0-b161164fb78a.jpg?v=1772087703","url":"https:\/\/shop.autorenwelt.de\/en\/products\/bifurcations-of-planar-vector-fields-and-hilberts-sixteenth-problem-von-robert-roussarie","provider":"Autorenwelt Shop","version":"1.0","type":"link"}