{"product_id":"9783031571107","title":"Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossing-variable Cubic Vector Field","description":"\u003ch1\u003eTwo-dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossing-variable Cubic Vector Field\u003c\/h1\u003e \u003ch2\u003eLuo, Albert C. J.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows.  The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. \u003c\/p\u003e\n\n\u003cp\u003eReaders will learn new concepts, theory, phenomena, and analytic techniques, including\u003cbr\u003e\nConstant and crossing-cubic systems\u003cbr\u003e\nCrossing-linear and crossing-cubic systems\u003cbr\u003e\nCrossing-quadratic and crossing-cubic systems\u003cbr\u003e\nCrossing-cubic and crossing-cubic systems\u003cbr\u003e\nAppearing and switching bifurcations\u003cbr\u003e\nThird-order centers and saddles\u003cbr\u003e\nParabola-saddles and inflection-saddles\u003cbr\u003e\nHomoclinic-orbit network with centers\u003cbr\u003e\nAppearing bifurcations\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-11-20\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031571107\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-57108-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 240\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":45169222123660,"sku":"9783031571107","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031571107.jpg?v=1776092928","url":"https:\/\/lateknightbooks.com\/products\/9783031571107","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}