國立虎尾科技大學 |

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Energy Flow Theory of Nonlinear Dynamical Systems with Applications/ by Jing Tang Xing.
Author:	Xing, Jing Tang.
Description:	XVI, 299 p. 65 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computational complexity. -
Online resource:	https://doi.org/10.1007/978-3-319-17741-0
ISBN:	9783319177410

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. - 1st ed. 2015. - XVI, 299 p. 65 illus.online resource. - Emergence, Complexity and Computation,172194-7287 ;. - Emergence, Complexity and Computation,12.

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, 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.

ISBN: 9783319177410

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

527777
Computational complexity.

LC Class. No.: QA267.7

Dewey Class. No.: 620

Energy Flow Theory of Nonlinear Dynamical Systems with Applications
LDR:02979nam a22004095i 4500 001 960976
003 DE-He213
005 20200630023833.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319177410 $9 978-3-319-17741-0
024 7 $a 10.1007/978-3-319-17741-0 $2 doi
035 $a 978-3-319-17741-0
050 4 $a QA267.7
072 7 $a GPFC $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 620 $2 23
100 1 $a Xing, Jing Tang. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1255191
245 1 0 $a Energy Flow Theory of Nonlinear Dynamical Systems with Applications $h [electronic resource] / $c by Jing Tang Xing.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XVI, 299 p. 65 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Emergence, Complexity and Computation, $x 2194-7287 ; $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, 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.
650 0 $a Computational complexity. $3 527777
650 0 $a System theory. $3 566168
650 0 $a Statistical physics. $3 528048
650 0 $a Thermodynamics. $3 596513
650 1 4 $a Complexity. $3 669595
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319177427
776 0 8 $i Printed edition: $z 9783319177403
776 0 8 $i Printed edition: $z 9783319368344
830 0 $a Emergence, Complexity and Computation, $x 2194-7287 ; $v 12 $3 1254548
856 4 0 $u https://doi.org/10.1007/978-3-319-17741-0
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)