{"product_id":"albert-c-j-luo-two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-9783031571107","title":"Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II","description":"This 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. \n\u003cbr\u003e\nReaders will learn new concepts, theory, phenomena, and analytic techniques, including\n\u003cbr\u003e\nConstant and crossing-cubic systems\n\u003cbr\u003e\nCrossing-linear and crossing-cubic systems\n\u003cbr\u003e\nCrossing-quadratic and crossing-cubic systems\n\u003cbr\u003e\nCrossing-cubic and crossing-cubic systems\n\u003cbr\u003e\nAppearing and switching bifurcations\n\u003cbr\u003e\nThird-order centers and saddles\n\u003cbr\u003e\nParabola-saddles and inflection-saddles\n\u003cbr\u003e\nHomoclinic-orbit network with centers\n\u003cbr\u003e\nAppearing bifurcations","brand":"Springer","offers":[{"title":"Default Title","offer_id":53807617016150,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"url":"https:\/\/www.momoxbooks.com\/products\/albert-c-j-luo-two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-9783031571107","provider":"momoxbooks","version":"1.0","type":"link"}