{"product_id":"two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-von-albert-c-j-luo","title":"Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II","description":"\n                                \n                \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                \n                \u003cp\u003e\n                                        Readers will learn new concepts, theory, phenomena, and analytic techniques, including\n                    \n                    \u003cbr\u003e\n                                        Constant and crossing-cubic systems\n                    \n                    \u003cbr\u003e\n                                        Crossing-linear and crossing-cubic systems\n                    \n                    \u003cbr\u003e\n                                        Crossing-quadratic and crossing-cubic systems\n                    \n                    \u003cbr\u003e\n                                        Crossing-cubic and crossing-cubic systems\n                    \n                    \u003cbr\u003e\n                                        Appearing and switching bifurcations\n                    \n                    \u003cbr\u003e\n                                        Third-order centers and saddles\n                    \n                    \u003cbr\u003e\n                                        Parabola-saddles and inflection-saddles\n                    \n                    \u003cbr\u003e\n                                        Homoclinic-orbit network with centers\n                    \n                    \u003cbr\u003e\n                                        Appearing bifurcations\n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031571077\"\u003e\u003ch3\u003eA Crossing-variable Cubic Vector Field\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031571107\"\u003e\u003ch3\u003eA Crossing-variable Cubic Vector Field\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031571077","offer_id":53725732143429,"sku":"9783031571077","price":171.19,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783031571107","offer_id":56619999985989,"sku":"9783031571107","price":171.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a49aab95-d154-4802-b011-56e4a2c0b470.jpg?v=1769404114","url":"https:\/\/shop.autorenwelt.de\/products\/two-dimensional-single-variable-cubic-nonlinear-systems-vol-ii-von-albert-c-j-luo","provider":"Autorenwelt Shop","version":"1.0","type":"link"}