{"product_id":"two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-a-crossing-variable-cubic-vector-field-9783031571077","title":"Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossing-Variable Cubic Vector Field","description":"\u003cp\u003e • Author(s): Albert C. J. Luo\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Engineering (General)\u003c\/p\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 \u003cp\u003eReaders will learn new concepts, theory, phenomena, and analytic techniques, including\u003cbr\u003e Constant and crossing-cubic systems\u003cbr\u003e Crossing-linear and crossing-cubic systems\u003cbr\u003e Crossing-quadratic and crossing-cubic systems\u003cbr\u003e Crossing-cubic and crossing-cubic systems\u003cbr\u003e Appearing and switching bifurcations\u003cbr\u003e Third-order centers and saddles\u003cbr\u003e Parabola-saddles and inflection-saddles\u003cbr\u003e Homoclinic-orbit network with centers\u003cbr\u003e Appearing bifurcations\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45283321774231,"sku":"9783031571077","price":12354.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031571077.webp?v=1769304674","url":"https:\/\/atlanticbooks.com\/products\/two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-a-crossing-variable-cubic-vector-field-9783031571077","provider":"Atlantic Books","version":"1.0","type":"link"}