{"product_id":"two-dimensional-crossing-and-product-cubic-systems-vol-i-von-albert-c-j-luo","title":"Two-dimensional Crossing and Product Cubic Systems, Vol. I","description":"\n                \u003cp\u003eThis book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:\u003c\/p\u003e\n\n\u003cp\u003e-        double-inflection saddles, \u003c\/p\u003e\n\n\u003cp\u003e-        inflection-source (sink) flows,\u003c\/p\u003e\n\n\u003cp\u003e-        parabola-saddles (saddle-center),\u003c\/p\u003e\n\n\u003cp\u003e-        third-order parabola-saddles, \u003c\/p\u003e\n\n\u003cp\u003e-        third-order saddles and centers.\u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031595813\"\u003e\u003ch3\u003eSelf-linear and Crossing-quadratic Product Vector Field\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031595813","offer_id":54066437128517,"sku":"9783031595813","price":171.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/87c68ac6-dbdf-4bd4-ae1c-a5200e09c45a.jpg?v=1744691705","url":"https:\/\/shop.autorenwelt.de\/products\/two-dimensional-crossing-and-product-cubic-systems-vol-i-von-albert-c-j-luo","provider":"Autorenwelt Shop","version":"1.0","type":"link"}