{"product_id":"two-dimensional-crossing-and-product-cubic-systems-vol-ii-9783031570995","title":"Two-dimensional Crossing and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field","description":"This 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).\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication date:\u003c\/strong\u003e 30 March 2025\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePage count:\u003c\/strong\u003e 259\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e Height 235 mm; Width 155 mm\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer International Publishing AG\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Hardback\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9783031570995\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Albert C. J. Luo","offers":[{"title":"Hardback","offer_id":50122439098618,"sku":"9783031570995","price":123.89,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/9783031570995.jpg?v=1787044214","url":"https:\/\/shulphink.com\/products\/two-dimensional-crossing-and-product-cubic-systems-vol-ii-9783031570995","provider":"Shulph Ink","version":"1.0","type":"link"}