{"product_id":"engineering-9783031571084","title":"Engineering","description":"\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. Readers will learn new concepts, theory, phenomena, and analytic techniques, includingConstant and crossing-cubic systemsCrossing-linear and crossing-cubic systemsCrossing-quadratic and crossing-cubic systemsCrossing-cubic and crossing-cubic systemsAppearing and switching bifurcationsThird-order centers and saddlesParabola-saddles and inflection-saddlesHomoclinic-orbit network with centersAppearing bifurcations\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":53579609309463,"sku":null,"price":18738.3,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783031571084.jpg?v=1782479476","url":"https:\/\/payment.letskitaboo.com\/products\/engineering-9783031571084","provider":"Kitaboo One eStore","version":"1.0","type":"link"}