Two-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields Hardback
by Albert C. J. Luo
Part of the Nonlinear Physical Science series
Hardback
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Description
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 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.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:685 pages, 84 Illustrations, color; 37 Illustrations, black and white; XIII, 685 p. 121 illus., 84 i
- Publisher:Springer Verlag, Singapore
- Publication Date:21/04/2023
- Category:
- ISBN:9789811678721
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:685 pages, 84 Illustrations, color; 37 Illustrations, black and white; XIII, 685 p. 121 illus., 84 i
- Publisher:Springer Verlag, Singapore
- Publication Date:21/04/2023
- Category:
- ISBN:9789811678721