國立虎尾科技大學 |

Nonlinear Systems, Vol. 1 = Mathematical Theory and Computational Methods /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear Systems, Vol. 1/ edited by Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García- Medina.
Reminder of title:	Mathematical Theory and Computational Methods /
other author:	Carmona, Victoriano.
Description:	XV, 424 p. 139 illus., 115 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistical physics. -
Online resource:	https://doi.org/10.1007/978-3-319-66766-9
ISBN:	9783319667669

Nonlinear Systems, Vol. 1 = Mathematical Theory and Computational Methods /
Nonlinear Systems, Vol. 1Mathematical Theory and Computational Methods /[electronic resource] :edited by Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García- Medina. - 1st ed. 2018. - XV, 424 p. 139 illus., 115 illus. in color.online resource. - Understanding Complex Systems,1860-0832. - Understanding Complex Systems,.

Part 1 - Bifurcation Analysis -- Analytic integrability of some degenerate centers -- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system -- Normal forms for a class of tridimensional vector fields with free-divergence in its first component -- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system -- Part 2 - Wave Equations -- Solitons and vortices in the Nonlinear Dirac Equation -- Stochastic Korteweg - de Vries type equations -- Exact and adiabtic invariants of KdV type equations -- Gravitational waves as nonlinear waves and solitons -- Part 3 - Other Differential and Difference Equations -- On the dynamics of the nonlinear logistic difference equation with two delays -- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems -- Principal solutions and variation of constants formula for a class of functional differential equations -- Diffusion Equations in Inhomogeneous Media from the Master Equation -- Part 4 - Computational Methods -- On the numerical approximation to generalized Ostrovsky equations -- Simulation of Laser Dynamics with Cellular Automata: progress and challenges.

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.

ISBN: 9783319667669

Standard No.: 10.1007/978-3-319-66766-9doiSubjects--Topical Terms:

528048
Statistical physics.

LC Class. No.: QC174.7-175.36

Dewey Class. No.: 621

Nonlinear Systems, Vol. 1 = Mathematical Theory and Computational Methods /
LDR:03438nam a22004215i 4500 001 990469
003 DE-He213
005 20200629195745.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319667669 $9 978-3-319-66766-9
024 7 $a 10.1007/978-3-319-66766-9 $2 doi
035 $a 978-3-319-66766-9
050 4 $a QC174.7-175.36
072 7 $a PBWR $2 bicssc
072 7 $a SCI012000 $2 bisacsh
072 7 $a PBWR $2 thema
072 7 $a PHDT $2 thema
082 0 4 $a 621 $2 23
245 1 0 $a Nonlinear Systems, Vol. 1 $h [electronic resource] : $b Mathematical Theory and Computational Methods / $c edited by Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García- Medina.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XV, 424 p. 139 illus., 115 illus. in color. $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 Understanding Complex Systems, $x 1860-0832
505 0 $a Part 1 - Bifurcation Analysis -- Analytic integrability of some degenerate centers -- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system -- Normal forms for a class of tridimensional vector fields with free-divergence in its first component -- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system -- Part 2 - Wave Equations -- Solitons and vortices in the Nonlinear Dirac Equation -- Stochastic Korteweg - de Vries type equations -- Exact and adiabtic invariants of KdV type equations -- Gravitational waves as nonlinear waves and solitons -- Part 3 - Other Differential and Difference Equations -- On the dynamics of the nonlinear logistic difference equation with two delays -- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems -- Principal solutions and variation of constants formula for a class of functional differential equations -- Diffusion Equations in Inhomogeneous Media from the Master Equation -- Part 4 - Computational Methods -- On the numerical approximation to generalized Ostrovsky equations -- Simulation of Laser Dynamics with Cellular Automata: progress and challenges.
520 $a This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
650 0 $a Statistical physics. $3 528048
650 0 $a Mathematical physics. $3 527831
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a System theory. $3 566168
650 1 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
700 1 $a Carmona, Victoriano. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1209684
700 1 $a Cuevas-Maraver, Jesús. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1282162
700 1 $a Fernández-Sánchez, Fernando. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1282163
700 1 $a García- Medina, Elisabeth. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1282164
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319667652
776 0 8 $i Printed edition: $z 9783319667676
776 0 8 $i Printed edition: $z 9783030097813
830 0 $a Understanding Complex Systems, $x 1860-0832 $3 1254579
856 4 0 $u https://doi.org/10.1007/978-3-319-66766-9
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)