{"product_id":"two-dimensional-crossing-and-product-cubic-systems-ii-crossing-linear-and-self-quadratic-product-vector-field-9783031570995","title":"Two-dimensional Crossing and Product Cubic Systems, II: Crossing-Linear and Self-Quadratic Product Vector Field","description":"\u003cp\u003e • Author(s): Albert C. J. Luo\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Engineering (General)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":47658139779223,"sku":"9783031570995","price":11752.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031570995.webp?v=1775817297","url":"https:\/\/atlanticbooks.com\/products\/two-dimensional-crossing-and-product-cubic-systems-ii-crossing-linear-and-self-quadratic-product-vector-field-9783031570995","provider":"Atlantic Books","version":"1.0","type":"link"}