The University of Southampton
University of Southampton Institutional Repository

Energy flow theory of nonlinear dynamical systems with applications

Energy flow theory of nonlinear dynamical systems with applications
Energy flow theory of nonlinear dynamical systems with applications
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 return to some examples in each chapter to illustrate the applications of the discussed theory and approaches. It 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.
978-3-319-17740-3
2197-7287
17
Springer
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce

Xing, Jing Tang (2015) Energy flow theory of nonlinear dynamical systems with applications (Emergence, Complexity and Computation, 17), Berlin, DE. Springer, 299pp.

Record type: Book

Abstract

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 return to some examples in each chapter to illustrate the applications of the discussed theory and approaches. It 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.

Text
productFlyer_978-3-319-17740-3.pdf - Other
Download (174kB)

More information

Submitted date: December 2014
Accepted/In Press date: February 2015
Published date: 28 May 2015
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 376484
URI: http://eprints.soton.ac.uk/id/eprint/376484
ISBN: 978-3-319-17740-3
ISSN: 2197-7287
PURE UUID: 59e8d86a-33ea-410b-8cc1-657edd5f355d

Catalogue record

Date deposited: 16 Jun 2015 08:31
Last modified: 11 Dec 2021 06:30

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×