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Energy flow theory of nonlinear dynamical systems with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Energy flow theory of nonlinear dynamical systems with applicationsby Jing Tang Xing.
Author:	Xing, Jing Tang.
Published:	Cham :Springer International Publishing :2015.
Description:	xvi, 299 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear systemsMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-17741-0
ISBN:	9783319177410 (electronic bk.)

Energy flow theory of nonlinear dynamical systems with applications
Xing, Jing Tang.

Energy flow theory of nonlinear dynamical systems with applications[electronic resource] /by Jing Tang Xing. - Cham :Springer International Publishing :2015. - xvi, 299 p. :ill., digital ;24 cm. - Emergence, complexity and computation,v.172194-7287 ;. - Emergence, complexity and computation ;v.5..

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.

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, Rossler 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.

ISBN: 9783319177410 (electronic bk.)

Standard No.: 10.1007/978-3-319-17741-0doiSubjects--Topical Terms:

454287
Nonlinear systems
--Mathematical models.

LC Class. No.: QA427

Dewey Class. No.: 003.75

Energy flow theory of nonlinear dynamical systems with applications
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490 1 $a Emergence, complexity and computation, $x 2194-7287 ; $v v.17
505 0 $a 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.
520 $a 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, Rossler 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.
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