Two-Dimensional Quadratic Nonlinear Systems

Volume II: Bivariate Vector Fields

Albert C. J. Luo

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ca. 149,79 €
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Springer Singapore img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

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Schlagwörter

Nonlinear Systems, infinite-equilibrium, Saddle-center networks, directrix flows, Singularity and new bifurcations, Flow bifurcations, Quadratic nonlinear systems