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

Dynamics of asymmetric dissipative s...

Sugiyama, Yuki.

FindBook

Google Book

Amazon

博客來

Dynamics of asymmetric dissipative systems = from traffic jam to collective motion /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Dynamics of asymmetric dissipative systems/ by Yuki Sugiyama.
其他題名:	from traffic jam to collective motion /
作者:	Sugiyama, Yuki.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xviii, 316 p. :illustrations, digital ;24 cm.
內容註:	1. Introduction to Asymmetric Dissipative Systems (ADS) -- 2. Optimal Velocity Model (OV Model) -- 3. Cluster Flow Solutions. 4 -- Phase Diagram of OV Model -- 5 Analysis of Hopf Bifurcation -- 6. Flow-Density Relations -- 7. Application to Traffic Flow -- 8. Two-Dimensional Self-Driven Particles and Flow Patterns -- 9. Relations to Soliton Systems -- 10. Similarity of Temporal and Spatial Patterns in ADS -- 11. Coarse Analysis of Collective Motions by Diffusion Maps -- 12. Adaptive Motions of ADS in Wasserstein Metric Space -- 13. Violation of Fluctuation-Response Relation -- 14. Multiple-Scale Analysis of OV Model -- 15. Summary and Future Perspectives -- References -- Index.
Contained By:	Springer Nature eBook
標題:	System theory - Mathematical models. -
電子資源:	https://doi.org/10.1007/978-981-99-1870-6
ISBN:	9789819918706

Dynamics of asymmetric dissipative systems = from traffic jam to collective motion /
Sugiyama, Yuki.

Dynamics of asymmetric dissipative systemsfrom traffic jam to collective motion /[electronic resource] :by Yuki Sugiyama. - Singapore :Springer Nature Singapore :2023. - xviii, 316 p. :illustrations, digital ;24 cm. - Springer series in synergetics,2198-333X. - Springer series in synergetics..

1. Introduction to Asymmetric Dissipative Systems (ADS) -- 2. Optimal Velocity Model (OV Model) -- 3. Cluster Flow Solutions. 4 -- Phase Diagram of OV Model -- 5 Analysis of Hopf Bifurcation -- 6. Flow-Density Relations -- 7. Application to Traffic Flow -- 8. Two-Dimensional Self-Driven Particles and Flow Patterns -- 9. Relations to Soliton Systems -- 10. Similarity of Temporal and Spatial Patterns in ADS -- 11. Coarse Analysis of Collective Motions by Diffusion Maps -- 12. Adaptive Motions of ADS in Wasserstein Metric Space -- 13. Violation of Fluctuation-Response Relation -- 14. Multiple-Scale Analysis of OV Model -- 15. Summary and Future Perspectives -- References -- Index.

This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS) Asymmetric interaction breaks "the law of action and reaction" in mechanics, and results in non-conservation of the total momentum and energy. In such many-particle systems, the inflow of energy is provided and the energy flows out as dissipation. The emergences of non-trivial macroscopic phenomena occur in the non-equilibrium energy balance owing to the effect of collective motions as phase transitions and bifurcations. ADS are applied to the systems of self-driven interacting particles such as traffic and granular flows, pedestrians and evacuations, and collective movement of living systems. The fundamental aspects of dynamics in ADS are completely presented by a minimal mathematical model, the Optimal Velocity (OV) Model. Using that model, the basics of mathematical and physical mechanisms of ADS are described analytically with exact results. The application of 1-dimensional motions is presented for traffic jam formation. The mathematical theory is compared with empirical data of experiments and observations on highways. In 2-dimensional motion pattern formations of granular media, pedestrians, and group formations of organisms are described. The common characteristics of emerged moving objects are a variety of patterns, flexible deformations, and rapid response against stimulus. Self-organization and adaptation in group formations and control of group motions are shown in examples. Another OV Model formulated by a delay differential equation is provided with exact solutions using elliptic functions. The relations to soliton systems are described. Moreover, several topics in ADS are presented such as the similarity between the spatiotemporal patterns, violation of fluctuation dissipation relation, and a thermodynamic function for governing the phase transition in non-equilibrium stationary states.

ISBN: 9789819918706

Standard No.: 10.1007/978-981-99-1870-6doiSubjects--Topical Terms:

587842
System theory
--Mathematical models.

LC Class. No.: Q295

Dewey Class. No.: 003

Dynamics of asymmetric dissipative systems = from traffic jam to collective motion /
LDR:03722nmm a2200337 a 4500 001 2336260
003 DE-He213
005 20231115150721.0
006 m d
007 cr nn 008maaau
008 240402s2023 si s 0 eng d
020 $a 9789819918706 $q (electronic bk.)
020 $a 9789819918690 $q (paper)
024 7 $a 10.1007/978-981-99-1870-6 $2 doi
035 $a 978-981-99-1870-6
040 $a GP $c GP
041 0 $a eng
050 4 $a Q295
072 7 $a GPFC $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 003 $2 23
090 $a Q295 $b .S947 2023
100 1 $a Sugiyama, Yuki. $3 3669249
245 1 0 $a Dynamics of asymmetric dissipative systems $h [electronic resource] : $b from traffic jam to collective motion / $c by Yuki Sugiyama.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xviii, 316 p. : $b illustrations, digital ; $c 24 cm.
490 1 $a Springer series in synergetics, $x 2198-333X
505 0 $a 1. Introduction to Asymmetric Dissipative Systems (ADS) -- 2. Optimal Velocity Model (OV Model) -- 3. Cluster Flow Solutions. 4 -- Phase Diagram of OV Model -- 5 Analysis of Hopf Bifurcation -- 6. Flow-Density Relations -- 7. Application to Traffic Flow -- 8. Two-Dimensional Self-Driven Particles and Flow Patterns -- 9. Relations to Soliton Systems -- 10. Similarity of Temporal and Spatial Patterns in ADS -- 11. Coarse Analysis of Collective Motions by Diffusion Maps -- 12. Adaptive Motions of ADS in Wasserstein Metric Space -- 13. Violation of Fluctuation-Response Relation -- 14. Multiple-Scale Analysis of OV Model -- 15. Summary and Future Perspectives -- References -- Index.
520 $a This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS) Asymmetric interaction breaks "the law of action and reaction" in mechanics, and results in non-conservation of the total momentum and energy. In such many-particle systems, the inflow of energy is provided and the energy flows out as dissipation. The emergences of non-trivial macroscopic phenomena occur in the non-equilibrium energy balance owing to the effect of collective motions as phase transitions and bifurcations. ADS are applied to the systems of self-driven interacting particles such as traffic and granular flows, pedestrians and evacuations, and collective movement of living systems. The fundamental aspects of dynamics in ADS are completely presented by a minimal mathematical model, the Optimal Velocity (OV) Model. Using that model, the basics of mathematical and physical mechanisms of ADS are described analytically with exact results. The application of 1-dimensional motions is presented for traffic jam formation. The mathematical theory is compared with empirical data of experiments and observations on highways. In 2-dimensional motion pattern formations of granular media, pedestrians, and group formations of organisms are described. The common characteristics of emerged moving objects are a variety of patterns, flexible deformations, and rapid response against stimulus. Self-organization and adaptation in group formations and control of group motions are shown in examples. Another OV Model formulated by a delay differential equation is provided with exact solutions using elliptic functions. The relations to soliton systems are described. Moreover, several topics in ADS are presented such as the similarity between the spatiotemporal patterns, violation of fluctuation dissipation relation, and a thermodynamic function for governing the phase transition in non-equilibrium stationary states.
650 0 $a System theory $x Mathematical models. $3 587842
650 0 $a Dynamics $x Mathematical models. $3 566519
650 1 4 $a Complex Systems. $3 1566441
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer series in synergetics. $3 1568157
856 4 0 $u https://doi.org/10.1007/978-981-99-1870-6
950 $a Mathematics and Statistics (SpringerNature-11649)