{"product_id":"9789811678752","title":"Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields","description":"\u003ch1\u003eTwo-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields\u003c\/h1\u003e \u003ch2\u003eLuo, Albert C. J.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert’s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-05-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789811678752\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-981-16-7873-8\u003c\/p\u003e \u003cp\u003eDimensions: 235.0cm x155.0cm\u003c\/p\u003e \u003cp\u003ePages: 685.0\u003c\/p\u003e ","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":45382829506700,"sku":"9789811678752","price":161.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789811678752.jpg?v=1765490293","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789811678752","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}