東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Density evolution under delayed dyna...

Losson, Jerome.

Linked to FindBook

Google Book

Amazon

博客來

Density evolution under delayed dynamics = an open problem /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Density evolution under delayed dynamics/ by Jerome Losson ... [et al.].
Reminder of title:	an open problem /
other author:	Losson, Jerome.
Published:	New York, NY :Springer US : : 2020.,
Description:	ix, 138 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Part I. Introduction and Background to Density Evolution Problems -- 1. Introduction and Motivation -- 2. Density Evolution in Systems with Finite Dimensional Dynamics -- Part II. Illustrating the Problem and Making it Precise for Differential Delay Equations -- 3. Dynamics in Ensembles of Differential Delay Equations -- 4. The Problem -- III. Possible Analytical Approaches -- 5. The Hopf Functional Approach -- 6. The Method of Steps -- Part IV. Possible Approximating Solutions -- 7. Turning a Differential Delay Equation into a High-Dimensional Map -- 8. Approximate "Liouville-like" Equation -- 9. Summary and Conclusions -- References -- Index.
Contained By:	Springer Nature eBook
Subject:	Delay differential equations. -
Online resource:	https://doi.org/10.1007/978-1-0716-1072-5
ISBN:	9781071610725

Density evolution under delayed dynamics = an open problem /
Density evolution under delayed dynamicsan open problem /[electronic resource] :by Jerome Losson ... [et al.]. - New York, NY :Springer US :2020. - ix, 138 p. :ill. (some col.), digital ;24 cm. - Fields institute monographs,v.381069-5273 ;. - Fields institute monographs ;v.38..

Part I. Introduction and Background to Density Evolution Problems -- 1. Introduction and Motivation -- 2. Density Evolution in Systems with Finite Dimensional Dynamics -- Part II. Illustrating the Problem and Making it Precise for Differential Delay Equations -- 3. Dynamics in Ensembles of Differential Delay Equations -- 4. The Problem -- III. Possible Analytical Approaches -- 5. The Hopf Functional Approach -- 6. The Method of Steps -- Part IV. Possible Approximating Solutions -- 7. Turning a Differential Delay Equation into a High-Dimensional Map -- 8. Approximate "Liouville-like" Equation -- 9. Summary and Conclusions -- References -- Index.

This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this contribution in an attempt to define the problem as they see it, and to sketch out several obvious attempts that have been suggested to solve the problem and which seem to have failed. They hope that by being available to the general mathematical community, they will inspire others to consider-and hopefully solve-the problem. Serious attempts have been made by all of the authors over the years and they have made reference to these where appropriate.

ISBN: 9781071610725

Standard No.: 10.1007/978-1-0716-1072-5doiSubjects--Topical Terms:

657730
Delay differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.35

Density evolution under delayed dynamics = an open problem /
LDR:02471nmm a2200337 a 4500 001 2256616
003 DE-He213
005 20210204132755.0
006 m d
007 cr nn 008maaau
008 220420s2020 nyu s 0 eng d
020 $a 9781071610725 $q (electronic bk.)
020 $a 9781071610718 $q (paper)
024 7 $a 10.1007/978-1-0716-1072-5 $2 doi
035 $a 978-1-0716-1072-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515.35 $2 23
090 $a QA371 $b .D413 2020
245 0 0 $a Density evolution under delayed dynamics $h [electronic resource] : $b an open problem / $c by Jerome Losson ... [et al.].
260 $a New York, NY : $b Springer US : $b Imprint: Springer, $c 2020.
300 $a ix, 138 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Fields institute monographs, $x 1069-5273 ; $v v.38
505 0 $a Part I. Introduction and Background to Density Evolution Problems -- 1. Introduction and Motivation -- 2. Density Evolution in Systems with Finite Dimensional Dynamics -- Part II. Illustrating the Problem and Making it Precise for Differential Delay Equations -- 3. Dynamics in Ensembles of Differential Delay Equations -- 4. The Problem -- III. Possible Analytical Approaches -- 5. The Hopf Functional Approach -- 6. The Method of Steps -- Part IV. Possible Approximating Solutions -- 7. Turning a Differential Delay Equation into a High-Dimensional Map -- 8. Approximate "Liouville-like" Equation -- 9. Summary and Conclusions -- References -- Index.
520 $a This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this contribution in an attempt to define the problem as they see it, and to sketch out several obvious attempts that have been suggested to solve the problem and which seem to have failed. They hope that by being available to the general mathematical community, they will inspire others to consider-and hopefully solve-the problem. Serious attempts have been made by all of the authors over the years and they have made reference to these where appropriate.
650 0 $a Delay differential equations. $3 657730
650 0 $a Mathematical analysis. $3 516833
650 0 $a Measure theory. $3 516951
650 0 $a Dynamics. $3 519830
650 0 $a Ergodic theory. $3 555691
650 0 $a Vibration. $3 544256
650 0 $a Probabilities. $3 518889
650 1 4 $a Analysis. $3 891106
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
700 1 $a Losson, Jerome. $3 3527098
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Fields institute monographs ; $v v.38. $3 3527099
856 4 0 $u https://doi.org/10.1007/978-1-0716-1072-5
950 $a Mathematics and Statistics (SpringerNature-11649)