Description 
1 online resource (xvi, 299 pages) : illustrations 
Series 
Emergence, Complexity and Computation, 21947287 ; volume 17 

Emergence, complexity and computation ; volume 17.

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 
Summary 
This monograph develops a generalised energy flow theory to investigate nonlinear 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 tackled 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 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed June 4, 2015) 
In 
Springer eBooks 
Subject 
Nonlinear systems  Mathematical models


SCIENCE  System Theory.


TECHNOLOGY & ENGINEERING  Operations Research.


Nonlinear systems  Mathematical models.

Genre/Form 
Electronic books

Form 
Electronic book

ISBN 
9783319177410 

3319177419 

3319177400 

9783319177403 

9783319177427 

3319177427 

9783319368344 

3319368346 
