{"product_id":"two-dimensional-self-and-product-cubic-systems-vol-ii-von-albert-c-j-luo","title":"Two-dimensional Self and Product Cubic Systems, Vol. II","description":"\n                                \n                \u003cp\u003eThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are:\u003c\/p\u003e\n                                \n                \n                \u003cp\u003esaddle-source (sink)\u003c\/p\u003e\n                                \n                \n                \u003cp\u003ehyperbolic-to-hyperbolic-secant flows\u003c\/p\u003e\n                                \n                \n                \u003cp\u003edouble-saddle\u003c\/p\u003e\n                                \n                \n                \u003cp\u003ethird-order saddle, sink and source\u003c\/p\u003e\n                                \n                \n                \u003cp\u003ethird-order saddle-source (sink)\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031595738\"\u003e\u003ch3\u003eCrossing-linear and Self-quadratic Product Vector Field\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031595738","offer_id":50320519823685,"sku":"9783031595738","price":181.89,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/98205ceb-e661-4942-a101-fcd2d552cdd0.jpg?v=1771477694","url":"https:\/\/shop.autorenwelt.de\/products\/two-dimensional-self-and-product-cubic-systems-vol-ii-von-albert-c-j-luo","provider":"Autorenwelt Shop","version":"1.0","type":"link"}