Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields

The book discusses nonlinear dynamics based on bivariate quadratic functions, providing insights into bifurcations, singular dynamics, equilibriums, and one-dimensional flows on bivariate manifolds. It serves as a valuable reference for researchers, students, and engineers in mathematics, mechanical, and electrical engineering.

Format: Hardback
Length: 445 pages
Publication date: 30 March 2022
Publisher: Springer Verlag, Singapore

This captivating book delves into the intricate realm of nonlinear dynamics, centered around the study of vector fields with bivariate quadratic functions. It stands as a singular monograph, offering a comprehensive exploration of two-dimensional quadratic nonlinear systems rooted in bivariate vector fields. This unique resource presents a diverse range of perspectives on nonlinear dynamics, shedding light on the fascinating phenomena of bifurcations in quadratic dynamical systems across linear and nonlinear bivariate manifolds. Thorough analysis is conducted into the potential singular dynamics of these two-dimensional quadratic systems, providing a deep understanding of their behavior. Additionally, the book explores the dynamics of equilibriums and one-dimensional flows on bivariate manifolds, showcasing the rich tapestry of mathematical concepts at play. Saddle-focus bifurcations and switching bifurcations based on infinite-equilibriums are explored in detail, offering insights into the complex dynamics of these systems. Furthermore, the book showcases saddle-focus networks on bivariate manifolds, illustrating the intricate connections and patterns that emerge in these systems. As a valuable reference book, this text caters to researchers, students, and engineering professionals alike, spanning the fields of mathematics, mechanical, and electrical engineering. It serves as a cornerstone for understanding dynamical systems and control, fostering a deeper comprehension of the intricate mechanisms governing complex systems in our world.

Weight: 846g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811678684
Edition number: 1st ed. 2021