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Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields (Nonlinear Physical Science) free ebook download

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Author(s):	Albert C. J. Luo

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	9811678723
Pages:	698	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	8/2/2023 4:07:17 AM

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This 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 Hilberts 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.
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3190307	Book	https://nitroflare.com/view/3C4118DBDB8C...		0.00	maveriks

Tags: Fields Nonlinear Nonlinear Physical Quadratic Systems Two-Dimensional Univariate Vector Volume

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Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields (Nonlinear Physical Science) free ebook download

Category: Other Engineering

Description: Click to see full description

Category:
Other Engineering