{"product_id":"single-linear-bivariate-cubic-systems-book-albert-c-j-luo-9789819818396","title":"SINGLE LINEAR-BIVARIATE CUBIC SYSTEMS","description":"This 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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53698570944785,"sku":null,"price":0.0,"currency_code":"AUD","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":53698571239697,"sku":"NLS9789819818396","price":334.99,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789819818396.jpg?v=1782169947","url":"https:\/\/www.worldofbooks.com\/en-au\/products\/single-linear-bivariate-cubic-systems-book-albert-c-j-luo-9789819818396","provider":"World of Books ","version":"1.0","type":"link"}