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1. |
Record Nr. |
UNINA9910717418003321 |
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Autore |
Luo Albert C. J. |
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Titolo |
Two-dimensional quadratic nonlinear systems : univariate vector fields / / Albert C. J. Luo |
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Pubbl/distr/stampa |
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Singapore : , : Springer, , [2023] |
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©2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (XIII, 685 p. 121 illus., 84 illus. in color.) |
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Collana |
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Nonlinear Physical Science, , 1867-8459 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Chapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields. |
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Sommario/riassunto |
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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- |
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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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2. |
Record Nr. |
UNICAMPANIAVAN0241812 |
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Autore |
Chirico, Giuseppe |
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Titolo |
Gold Nanostars : Synthesis, Properties and Biomedical Application / Giuseppe Chirico, Mykola Borzenkov, Piersandro Pallavicini |
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Pubbl/distr/stampa |
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Descrizione fisica |
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Altri autori (Persone) |
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Borzenkov, Mykola |
Pallavicini, Piersandro |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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