{"product_id":"9783034897785","title":"Modern Birkhäuser Classics","description":"\u003ch1\u003eModern Birkhäuser Classics\u003c\/h1\u003e \u003ch2\u003eRoussarie, Robert\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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 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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783034897785\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-8798-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 206\u003c\/p\u003e ","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":46541448183948,"sku":"9783034897785","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034897785.jpg?v=1775736460","url":"https:\/\/lateknightbooks.com\/products\/9783034897785","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}