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结果集 1-6（总计 6）

nexusstc/Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields/fabaeb57cb342a658aa4d1a0156692de.pdf

Two-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields Albert C. J. Luo Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Nonlinear Physical Science, Nonlinear Physical Science, 2023

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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英语 [en] · PDF · 8.9MB · 2023 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save

base score: 11065.0, final score: 17475.918

upload/newsarch_ebooks/2022/04/05/9811678685.pdf

Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields (Nonlinear Physical Science) Albert C. J. Luo Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Nonlinear Physical Science Ser, Singapore, 2022

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

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英语 [en] · PDF · 5.9MB · 2022 · 📘 非小说类图书 · 🚀/lgli/upload/zlib · Save

base score: 11068.0, final score: 17473.84

nexusstc/Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields/86dd71db8ffb89defaaba7a448d98831.epub

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英语 [en] · EPUB · 102.9MB · 2023 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save

base score: 11065.0, final score: 17461.22

nexusstc/Two-Dimensional Quadratic Nonlinear Systems/dda1922135127005e5bf8983d07eb5ec.pdf

Two-Dimensional Quadratic Nonlinear Systems Volume 1. Univariate Vector Fields Albert C. J. Luo Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Nonlinear Physical Science, Volume 1. Univariate Vector Fields, 2023

Preface Contents 1 Two-Dimensional Linear Dynamical Systems 1.1 Constant Vector Fields 1.2 Linear Vector Fields with a Single Variable 1.3 Variable-Independent Linear Vector Fields 1.4 Variable-Crossing Linear Vector Fields 1.5 Two Linear-Bivariate Vector Fields Reference 2 Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field 2.1 Constant and Self-Univariate Quadratic Vector Fields 2.1.1 Self-Univariate Quadratic Systems with a Constant Vector Field 2.1.2 Singular Flows and Bifurcations 2.2 Linear and Self-Univariate Quadratic Vector Fields 2.2.1 Linear and Self-Univariate Quadratic Systems 2.2.2 Flow Switching and Appearing Bifurcations 2.3 Single-Variable Quadratic Systems with a Self-Univariate Vector Field 2.3.1 Variable-Crossing and Self-Univariate Quadratic Vector Fields 2.4 Singular Dynamics and Bifurcations Reference 3 Single-Variable Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field 3.1 Constant and Non-Self-Univariate Quadratic Vector Fields 3.1.1 Non-Self-Univariate Quadratic Systems with a Constant Vector Field 3.1.2 Singular Flows and Bifurcations 3.2 Linear and Non-Self-Univariate Quadratic Vector Fields 3.2.1 Linear and Non-Self-Univariate Quadratic Systems 3.2.2 Flow Switching and Appearing Bifurcations 3.3 With a Non-Self-Univariate Quadratic Vector Field 3.3.1 Quadratic Systems with a Non-Self-Univariate Vector Field 3.3.2 Singular Dynamics and Bifurcations Reference 4 Variable-Independent Quadratic Dynamics 4.1 Constant and Variable-Independent Quadratic Vector Fields 4.2 Variable-Independent, Linear and Quadratic Vector Fields 4.2.1 Variable-Independent, Linear and Quadratic Systems 4.2.2 Saddle-Node Bifurcations and Global Dynamics 4.2.2.1 Saddle-Sink and Saddle-Source Bifurcations 4.2.2.2 Saddle-with-Sink and Saddle-with-Source 4.2.2.3 Appearing and Switching Bifurcations 4.3 Two Variable-Independent Univariate Quadratic Vector Fields 4.3.1 Two Variable-Independent Quadratic Global Dynamics 4.3.2 Singularity and Bifurcations Reference 5 Variable-Crossing Univariate Quadratic Systems 5.1 Constant and Variable-Crossing Univariate Vector Fields 5.2 Linear and Quadratic Variable-Crossing Vector Fields 5.2.1 Linear and Quadratic Variable-Crossing Systems 5.2.2 Bifurcations and Limit Cycles 5.2.2.1 Singular Equilibriums 5.2.2.2 Limit Cycles and Separatrix with Center and Saddle 5.2.2.3 Appearing and Switching Bifurcations 5.3 Two Variable-Crossing Univariate Quadratic Vector Fields 5.3.1 Two Variable-Crossing Univariate Quadratic Systems 5.3.2 Bifurcations and Global Dynamics 5.3.2.1 Singular Equilibriums and Flows 5.3.2.2 Limit Cycles and Homoclinic Network 5.3.2.3 Appearing Bifurcations Reference 6 Two-Univariate Product Quadratic Systems 6.1 Two-Univariate Product Quadratic Dynamics 6.2 Dynamics for Two-Univariate-Product Quadratic Systems 6.2.1 With a Constant Vector Field 6.2.2 With an Independent-Variable Linear Vector Field 6.2.3 With a Variable-Crossing Linear Vector Field 6.2.4 Two-Univariate Product Quadratic Vector Fields 6.2.5 Switching Bifurcations Reference 7 Product-Bivariate Quadratic Systems with a Self-Univariate Quadratic Vector Field 7.1 Product-Bivariate and Self-Univariate Quadratic Dynamics 7.2 Singularity, Bifurcations and Global Dynamics 7.2.1 Saddle-Sink and Saddle-Source Bifurcations 7.2.2 Up-Down and Down-Up Upper-Saddles and Lower-Saddles 7.2.3 Simple Equilibriums with Hyperbolic Flows 7.2.4 Infinite-Equilibriums and Switching Bifurcations Reference 8 Product-Bivariate Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field 8.1 Product-Bivariate and Non-Self-Univariate Dynamics 8.2 Singularity, Bifurcations and Global Dynamics 8.2.1 Saddle-Center Appearing Bifurcations 8.2.2 Saddle-Saddle and Center-Center Bifurcations 8.2.3 Saddle and Center Flows with Hyperbolic Flows 8.2.4 Switching Bifurcations Reference Index

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英语 [en] · PDF · 9.0MB · 2023 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save

base score: 11065.0, final score: 17460.97

lgli/Albert C. J. Luo - Two-Dimensional Quadratic Nonlinear Systems. Volume II: Bivariate Vector Fields (2022, Springer Nature).epub

Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields (Nonlinear Physical Science) Albert C. J. Luo Springer Singapore; Springer Nature, Nonlinear Physical Science Ser, Singapore, 2022

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英语 [en] · EPUB · 93.8MB · 2022 · 📘 非小说类图书 · 🚀/lgli/lgrs/zlib · Save

base score: 11065.0, final score: 17458.959

nexusstc/Variable-Crossing Univariate Quadratic Systems/0ba1e67af8805fb7226393077462c3c2.pdf

Variable-Crossing Univariate Quadratic Systems Albert C. J. Luo Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Nonlinear Physical Science, 2023

In this chapter, nonlinear dynamics of dynamical systems with two variable-crossing univariate vector fields is discussed. The dynamical systems with a constant vector field and a variable-crossing univariate quadratic vector field are presented first, and the 1-dimensional flow is discussed as well. Dynamical systems with a variable-crossing univariate linear and quadratic vector fields are discussed, and the corresponding bifurcation and global dynamics are discussed. The saddle-center bifurcations are presented through parabola-saddles. Dynamical systems with two variable-crossing univariate quadratic vector fields are discussed, and the switching and appearing bifurcations for saddles and centers are discussed through the first integral manifolds, and the homoclinic networks will be first presented. Double-inflection bifurcations are for appearing of the saddle-center network, and the homoclinic networks with centers are constructed. The saddle-center network with limit cycles are developed from the first integral manifolds..

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英语 [en] · PDF · 1.2MB · 2023 · 🤨 其他 · nexusstc · Save

base score: 10890.0, final score: 17355.158