Energy flow theory of nonlinear dynamical systems with applications [electronic resource] / Jing Tang Xing.
2015
QA427
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Details
Title
Energy flow theory of nonlinear dynamical systems with applications [electronic resource] / Jing Tang Xing.
Author
Xing, Jing Tang, author.
ISBN
9783319177410 electronic book
3319177419 electronic book
9783319177403
3319177419 electronic book
9783319177403
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xvi, 299 pages) : illustrations.
Other Standard Identifiers
10.1007/978-3-319-17741-0 doi
Call Number
QA427
Dewey Decimal Classification
003/.75
Summary
This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing?s oscillator, Van der Pol?s equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 4, 2015).
Series
Emergence. complexity and computation ; volume 17.
Available in Other Form
Print version: 9783319177403
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Table of Contents
Introduction
Dynamical Systems and Differential Equations
Energy Flow of Nonlinear Dynamical Systems
Energy Flow Theorems
First Order Approximations and Matrix Spaces
Energy Flow Characteristics of Local Bifurcations
Energy Flows of Global Bifurcations
Energy Flow Characteristics of Chaos
Hamiltonian System
Numerical Solutions of Energy Flows.
Dynamical Systems and Differential Equations
Energy Flow of Nonlinear Dynamical Systems
Energy Flow Theorems
First Order Approximations and Matrix Spaces
Energy Flow Characteristics of Local Bifurcations
Energy Flows of Global Bifurcations
Energy Flow Characteristics of Chaos
Hamiltonian System
Numerical Solutions of Energy Flows.