國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Nonlinear systems.Vol. 1,Mathematica...

Carmona, Victoriano.

Nonlinear systems.Vol. 1,Mathematical theory and computational methods

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear systems.edited by Victoriano Carmona ... [et al.].
其他題名:	Mathematical theory and computational methods
其他作者:	Carmona, Victoriano.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xv, 424 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonlinear theoriesCongresses.
電子資源:	https://doi.org/10.1007/978-3-319-66766-9
ISBN:	9783319667669$q(electronic bk.)

Nonlinear systems.Vol. 1,Mathematical theory and computational methods
Nonlinear systems.Vol. 1,Mathematical theory and computational methods[electronic resource] /Mathematical theory and computational methodsedited by Victoriano Carmona ... [et al.]. - Cham :Springer International Publishing :2018. - xv, 424 p. :ill. (some col.), digital ;24 cm. - 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$q(electronic bk.)

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

456612
Nonlinear theories
--Congresses.

LC Class. No.: QA427 / .N665 2018

Dewey Class. No.: 003.75

Nonlinear systems.Vol. 1,Mathematical theory and computational methods
LDR:03052nmm a2200361 a 4500 001 544808
003 DE-He213
005 20190318141129.0
006 m d
007 cr nn 008maaau
008 190508s2018 gw s 0 eng d
020 $a 9783319667669$q(electronic bk.)
020 $a 9783319667652$q(paper)
024 7 $a 10.1007/978-3-319-66766-9 $2 doi
035 $a 978-3-319-66766-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA427 $b .N665 2018
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 003.75 $2 23
090 $a QA427 $b .N813 2018
245 1 1 $a Nonlinear systems. $n Vol. 1, $p Mathematical theory and computational methods $h [electronic resource] / $c edited by Victoriano Carmona ... [et al.].
246 3 0 $a Mathematical theory and computational methods
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xv, 424 p. : $b ill. (some col.), digital ; $c 24 cm.
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 Nonlinear theories $v Congresses. $3 456612
650 0 $a Nonlinear systems $v Congresses. $3 450772
650 1 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 760027
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Mathematical and Computational Engineering. $3 775095
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Complex Systems. $3 558544
650 2 4 $a Statistical Physics and Dynamical Systems. $3 760415
700 1 $a Carmona, Victoriano. $3 823517
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 560200
856 4 0 $u https://doi.org/10.1007/978-3-319-66766-9
950 $a Physics and Astronomy (Springer-11651)