Introduction to Power Systems (English Version)

Author: (USA) Robinson (Robinson/R.C.)
Publisher:
Publish Date: 2005-05-01
Features: Dynamical systems are an important part of nonlinear science and have been widely applied in fields such as mathematics, statistics, physics, information and computational science. This book provides a comprehensive introduction to the fundamental theoretical knowledge and basic research methods of dynamical systems. The book is divided into two parts: The first part primarily introduces various aspects of nonlinear ordinary differential equations, including geometric solutions of differential equations, flow function solutions of nonlinear equations, linear systems, chaotic phenomena, and periodic orbits; the second part primarily introduces content related to superfunctions, including functions in dynamical systems, periodic points of one-dimensional mappings, invariant sets of one-dimensional mappings, periodic points of high-dimensional mappings, invariant sets of high-dimensional mappings, and fractal dynamical systems. Each chapter in the book is organized in the form of "basic concepts + applications + theorems and proofs + exercises," making it well-structured and highly suitable for teaching purposes. This book can serve as a textbook for relevant majors in higher education institutions and also provide reference for scholars and engineering professionals specializing in the theory of dynamical systems. Dynamical systems are an important part of nonlinear science and have been widely applied in fields such as mathematics, statistics, physics, information and computational science. This book provides a comprehensive introduction to the fundamental theoretical knowledge and basic research methods of dynamical systems. The book is divided into two parts: The first part primarily introduces various aspects of nonlinear ordinary differential equations, including geometric solutions of differential equations, flow function solutions of nonlinear equations, linear systems, chaotic phenomena, and periodic orbits; the second part primarily introduces content related to superfunctions, including functions in dynamical systems, periodic points of one-dimensional mappings, invariant sets of one-dimensional mappings, periodic points of high-dimensional mappings, invariant sets of high-dimensional mappings, and fractal dynamical systems. Each chapter in the book is organized in the form of "basic concepts + applications + theorems and proofs + exercises," making it well-structured and highly suitable for teaching purposes. This book can serve as a textbook for relevant majors in higher education institutions and also provide reference for scholars and engineering professionals specializing in the theory of dynamical systems.