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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 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.
Produkteigenschaften
- Artikelnummer: 9789811678721
- Medium: Buch
- ISBN: 978-981-16-7872-1
- Verlag: Springer
- Erscheinungstermin: 21.04.2023
- Sprache(n): Englisch
- Auflage: 2023
- Serie: Nonlinear Physical Science
- Produktform: Gebunden, HC runder Rücken kaschiert
- Gewicht: 1203 g
- Seiten: 685
- Format (B x H x T): 160 x 241 x 43 mm
- Ausgabetyp: Kein, Unbekannt
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