東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Modeling with nonsmooth dynamics

Jeffrey, Mike R.

FindBook

Google Book

Amazon

博客來

Modeling with nonsmooth dynamics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modeling with nonsmooth dynamics/ by Mike R. Jeffrey.
作者:	Jeffrey, Mike R.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	viii, 104 p. :ill. (some col.), digital ;24 cm.
內容註:	Mathematics for a nonsmooth world -- 1930-2010: Nonsmooth dynamics' linear age -- Discontinuities to model missing knowledge -- Three experiments -- Layers and implementations -- Ideal and non-ideal sliding -- The three experiments revisited -- Further curiosities of hidden dynamics -- Closing remarks: open challenges.
Contained By:	Springer eBooks
標題:	Nonsmooth optimization. -
電子資源:	https://doi.org/10.1007/978-3-030-35987-4
ISBN:	9783030359874

Modeling with nonsmooth dynamics
Jeffrey, Mike R.

Modeling with nonsmooth dynamics[electronic resource] /by Mike R. Jeffrey. - Cham :Springer International Publishing :2020. - viii, 104 p. :ill. (some col.), digital ;24 cm. - Frontiers in applied dynamical systems,v.72364-4532 ;. - Frontiers in applied dynamical systems ;v.7..

Mathematics for a nonsmooth world -- 1930-2010: Nonsmooth dynamics' linear age -- Discontinuities to model missing knowledge -- Three experiments -- Layers and implementations -- Ideal and non-ideal sliding -- The three experiments revisited -- Further curiosities of hidden dynamics -- Closing remarks: open challenges.

This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a 'non-smooth' definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them. The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind. Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.

ISBN: 9783030359874

Standard No.: 10.1007/978-3-030-35987-4doiSubjects--Topical Terms:

709245
Nonsmooth optimization.

LC Class. No.: QA402.5 / .J444 2020

Dewey Class. No.: 519.6

Modeling with nonsmooth dynamics
LDR:02778nmm a2200337 a 4500 001 2216462
003 DE-He213
005 20200720155625.0
006 m d
007 cr nn 008maaau
008 201120s2020 sz s 0 eng d
020 $a 9783030359874 $q (electronic bk.)
020 $a 9783030359867 $q (paper)
024 7 $a 10.1007/978-3-030-35987-4 $2 doi
035 $a 978-3-030-35987-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5 $b .J444 2020
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 519.6 $2 23
090 $a QA402.5 $b .J46 2020
100 1 $a Jeffrey, Mike R. $3 3448815
245 1 0 $a Modeling with nonsmooth dynamics $h [electronic resource] / $c by Mike R. Jeffrey.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a viii, 104 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems, $x 2364-4532 ; $v v.7
505 0 $a Mathematics for a nonsmooth world -- 1930-2010: Nonsmooth dynamics' linear age -- Discontinuities to model missing knowledge -- Three experiments -- Layers and implementations -- Ideal and non-ideal sliding -- The three experiments revisited -- Further curiosities of hidden dynamics -- Closing remarks: open challenges.
520 $a This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a 'non-smooth' definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them. The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind. Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.
650 0 $a Nonsmooth optimization. $3 709245
650 0 $a Dynamics. $3 519830
650 0 $a Ergodic theory. $3 555691
650 0 $a Mathematical models. $3 522882
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Frontiers in applied dynamical systems ; $v v.7. $3 3448816
856 4 0 $u https://doi.org/10.1007/978-3-030-35987-4
950 $a Mathematics and Statistics (Springer-11649)