Two-dimensional quadratic nonlinear systems . Volume II : bivariate vector fields / / Albert C. J. Luo

• Record Nr.: UNISA996466749203316
• Autore: Luo Albert C. J.
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2022]; ©2022
• ISBN: 981-16-7869-3
• Descrizione fisica: 1 online resource (452 pages)
• Collana: Nonlinear Physical Science Ser.
• Disciplina: 511.3
• Soggetti: Computational complexity; Computational complexity - Data processing
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Two-Dimensional Linear-Bivariate Linear Systems -- 1.1 Single-Linear-Bivariate Linear Systems -- 1.2 One-Dimensional Flows and Switching Bifurcations -- 1.3 Two Linear-Bivariate Linear Systems -- References -- 2 Single-Linear-Bivariate Quadratic Systems -- 2.1 Constant and Linear-Bivariate Quadratic Vector Fields -- 2.2 Single-Bivariate Linear and Quadratic Vector Fields -- 2.2.1 Single-Bivariate Linear and Quadratic Systems -- 2.2.2 Flow Switching and Appearing Bifurcations -- 2.3 Two Quadratic Vector Fields with a Single-Bivariate Function -- 2.3.1 A Single-Linear-Bivariate Quadratic System -- 2.3.2 Appearing and Switching Bifurcations -- Reference -- 3 Linear-Bivariate Quadratic Dynamics -- 3.1 Linear and Quadratic Linear-Bivariate Vector Fields -- 3.2 Saddle-Focus and Saddle-Node Bifurcations -- 3.3 Two Linear-Bivariate Quadratic Vector Fields -- 3.4 Saddle-Focus Bifurcations and Global Dynamics -- 3.4.1 Saddle-Focus Appearing and Switching Bifurcations -- 3.4.2 Focus-Saddle Network -- Reference -- 4 Linear-Bivariate Product Quadratic Systems -- 4.1 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2 Linear-Bivariate-Product Quadratic Systems -- 4.2.1 With a Constant Vector Field -- 4.2.2 With a Linear-Bivariate Linear Vector Field -- 4.2.3 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2.4 Switching Bifurcations -- 4.3 Product and Single Linear-Bivariate Quadratic Vector Fields -- 4.4 Product ; and Single Linear-Bivariate Quadratic Dynamics -- 4.4.1 Saddle-Focus Bifurcations -- 4.4.2 Simple Equilibriums and Switching Bifurcations -- Reference -- 5 Nonlinear-Bivariate Quadratic Systems -- 5.1 Linear-Bivariate and Nonlinear-Bivariate Vector Fields -- 5.2 Nonlinear-Bivariate Quadratic Systems -- 5.2.1 With a Constant Vector Field -- 5.2.2 With a Linear-Bivariate Linear Vector Field.; 5.2.3 With a Two-Linear-Bivariate-Product Vector Field -- 5.3 Nonlinear and Single-Linear-Bivariate-Quadratic Vector Fields -- 5.4 Nonlinear and Single-Linear-Bivariate-Quadratic Dynamics -- 5.4.1 Saddle-Focus Bifurcations -- 5.4.2 Simple Equilibriums and Switching Bifurcations -- 5.5 Two Nonlinear Bivariate Quadratic Vector Fields -- 5.6 Nonlinear Bivariate Quadratic Dynamics -- Reference -- Index.