Téléchargez le livre : Two-Dimensional Quadratic Nonlinear Systems

Two-Dimensional Quadratic Nonlinear Systems

Volume I: Univariate Vector Fields de

Éditeur :

Springer


Collection :

Nonlinear Physical Science

Paru le : 2023-04-19

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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.
Pages
685 pages
Collection
Nonlinear Physical Science
Parution
2023-04-19
Marque
Springer
EAN papier
9789811678721
EAN PDF
9789811678738
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
68
Taille du fichier
9021 Ko
Prix
168,79 €
EAN EPUB
9789811678738
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
68
Taille du fichier
100209 Ko
Prix
168,79 €

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