{"product_id":"9783764359003","title":"Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem","description":"\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\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\u003cp\u003e- - -\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThe book as a whole is awell-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in therecently developed methods. The book, reflecting the currentstate of the art, can also be used for teaching special courses.\u003c\/i\u003e \u003cbr\u003e(Mathematical Reviews)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":47054990704880,"sku":"9783764359003","price":139.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783764359003_p0.jpg?v=1763682839","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783764359003","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}