{"product_id":"single-linear-bivariate-cubic-systems-9789819818396","title":"Single Linear-Bivariate Cubic Systems","description":"\u003cp\u003e • Author(s): Luo Albert C J\u003cbr\u003e • Publisher: World Scientific Publishing Company\u003cbr\u003e • Publisher Imprint: World Scientific Publishing Company\u003cbr\u003e • BISAC: Linear \u0026amp; Nonlinear Programming\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book is about the nonlinear dynamics of single linear-bivariate cubic dynamical systems. For such cubic dynamical systems, the inflection-flows and third-order parabola flows exist for appearing bifurcations. The inflection-flows are for appearing bifurcations of two parabola flows on the same direction. The third-order parabola flows are for the appearing bifurcation of inflection and parabola flows, and for the appearing bifurcations of up, down and up-parabola flows or down, up and down-parabola flows. Third-order parabola flow are for the appearing bifurcation among the up and down-parabola flows. There are four types of infinite-equilibriums: (i) The inflection-source and sink infinite-equilibriums are for the switching bifurcations of two parabola flows on the two-directions. (ii) The parabola-source and sink infinite-equilibriums are for the switching bifurcations of parabola and inflection flows on the two-directions. (iii) The inflection-saddle infinite-equilibriums are for the switching bifurcation of two inflection flows in two directions. (iv) The parabola-saddle infinite-equilibriums are for the switching bifurcations of parabola and inflection flows on the two-directions are the switching bifurcations for parabola and inflection flows. Such switching bifurcations for 1-dimensional flow are based on the infinite-equilibriums, which will help one understand global dynamics in nonlinear cubic systems.\u003c\/p\u003e","brand":"World Scientific Publishing Company","offers":[{"title":"Hardcover","offer_id":47969090207895,"sku":"9789819818396","price":16328.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789819818396.webp?v=1782920415","url":"https:\/\/atlanticbooks.com\/products\/single-linear-bivariate-cubic-systems-9789819818396","provider":"Atlantic Books","version":"1.0","type":"link"}