{"product_id":"two-dimensional-quadratic-nonlinear-systems-von-albert-c-j-luo-1","title":"Two-Dimensional Quadratic Nonlinear Systems","description":"\n                \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\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789811678752\"\u003e\u003ch3\u003eVolume I: Univariate Vector Fields\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789811678721\"\u003e\u003ch3\u003eVolume I: Univariate Vector Fields\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9789811678752","offer_id":48627392348485,"sku":"9789811678752","price":171.19,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9789811678721","offer_id":46661702680901,"sku":"9789811678721","price":171.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/76612765-36be-4288-8200-f09a6f4cfb72.jpg?v=1764919373","url":"https:\/\/shop.autorenwelt.de\/en\/products\/two-dimensional-quadratic-nonlinear-systems-von-albert-c-j-luo-1","provider":"Autorenwelt Shop","version":"1.0","type":"link"}