國立虎尾科技大學 |

Dynamical systems on networks = a tutorial /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dynamical systems on networks/ by Mason A. Porter, James P. Gleeson.
其他題名:	a tutorial /
作者:	Porter, Mason A.
其他作者:	Gleeson, James P.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiv, 80 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Dynamics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-26641-1
ISBN:	9783319266411

Dynamical systems on networks = a tutorial /
Porter, Mason A.

Dynamical systems on networksa tutorial /[electronic resource] :by Mason A. Porter, James P. Gleeson. - Cham :Springer International Publishing :2016. - xiv, 80 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems: reviews and tutorials,v.42364-4532 ;. - Frontiers in applied dynamical systems: reviews and tutorials ;v.3..

Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks -- A Few Basic Concepts -- Examples of Dynamical Systems -- General Considerations -- Software Implementation -- Dynamical Systems on Dynamical Networks -- Other Resources -- Conclusion, Outlook, and Open Problems -- Appendix.

This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on "simple" situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland. .

ISBN: 9783319266411

Standard No.: 10.1007/978-3-319-26641-1doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 531.11

Dynamical systems on networks = a tutorial /
LDR:02459nam a2200325 a 4500 001 863211
003 DE-He213
005 20160922113406.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319266411 $q (electronic bk.)
020 $a 9783319266404 $q (paper)
024 7 $a 10.1007/978-3-319-26641-1 $2 doi
035 $a 978-3-319-26641-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA845
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 531.11 $2 23
090 $a QA845 $b .P847 2016
100 1 $a Porter, Mason A. $3 1107059
245 1 0 $a Dynamical systems on networks $h [electronic resource] : $b a tutorial / $c by Mason A. Porter, James P. Gleeson.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiv, 80 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems: reviews and tutorials, $x 2364-4532 ; $v v.4
505 0 $a Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks -- A Few Basic Concepts -- Examples of Dynamical Systems -- General Considerations -- Software Implementation -- Dynamical Systems on Dynamical Networks -- Other Resources -- Conclusion, Outlook, and Open Problems -- Appendix.
520 $a This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on "simple" situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland. .
650 0 $a Dynamics. $3 592238
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Complex Networks. $3 784746
650 2 4 $a Biological Networks, Systems Biology. $3 782977
650 2 4 $a Systems Biology. $3 683756
700 1 $a Gleeson, James P. $3 1107060
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Frontiers in applied dynamical systems: reviews and tutorials ; $v v.3. $3 1067989
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-26641-1
950 $a Mathematics and Statistics (Springer-11649)