Dynamics Of Asymmetric Dissipative Systems
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Dynamics Of Asymmetric Dissipative Systems
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Author : Yuki Sugiyama
language : en
Publisher: Springer Nature
Release Date : 2023-11-15
Dynamics Of Asymmetric Dissipative Systems written by Yuki Sugiyama and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Science categories.
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.
Dynamics Of Asymmetric Dissipative Systems
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Author : Yuki Sugiyama
language : en
Publisher: Springer
Release Date : 2023-09-18
Dynamics Of Asymmetric Dissipative Systems written by Yuki Sugiyama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-18 with Mathematics categories.
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.
Structure And Dynamics Of Asymmetric Interactions
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Author : Naohito Chino
language : en
Publisher: Springer Nature
Release Date : 2025-01-03
Structure And Dynamics Of Asymmetric Interactions written by Naohito Chino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-03 with Mathematics categories.
This book integrates the fundamentals of asymmetric multidimensional scaling, spectral graph theory, graph embedding theory, and various dynamical systems theories, that deal with the static and dynamic aspects of asymmetric phenomena. In this way, it provides a comprehensive introduction to theories and methods for analyzing phenomena observed universally in social, behavioral, economical, geographical, biological, neural, chemical reaction and other networks. The topics addressed in here include the notions of asymmetric similarity matrices, graph spectra, dimension reduction, and difference and differential equations to describe the dynamics of networks, bifurcation of vector fields, Mandelbrot sets, fractals and chaos, and Hilbert spaces. Illustrated by carefully chosen examples and supported by extensive simulation studies, the book is highly recommended to readers who seek to discover static asymmetric structures among members or nodes. It also appeals to those who want to understand the kinds of dynamics that are theoretically possible in their research domains.
Natural Computing
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Author : Yasuhiro Suzuki
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-18
Natural Computing written by Yasuhiro Suzuki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Computers categories.
This book is the refereed proceedings of the Second International Workshop on Natural Computing, IWNC 2007, held in Noyori Conference Hall, Nagoya University in December 2007. IWNC aims to bring together computer scientists, biologists, mathematicians, electronic engineers, physicists, and humanitarians, to critically assess present findings in the field, and to outline future developments in nature-inspired computing.
Dynamical Systems And Irreversibility
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Author : Ioannis Antoniou
language : en
Publisher: John Wiley & Sons
Release Date : 2003-10-03
Dynamical Systems And Irreversibility written by Ioannis Antoniou and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-03 with Science categories.
Leading research, perspectives, and analysis of dynamical systems and irreversibility Edited by Nobel Prize winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. Volume 122 collects papers from the XXI Solvay Conference on Physics, dedicated to the exploration of "Dynamical Systems and Irreversibility." Ioannis Antoniou, Deputy Director of the International Solvay Institutes for Physics and Chemistry, edits and assembles this cutting-edge research, including articles such as "Non-Markovian Effects in the Standard Map," "Harmonic Analysis of Unstable Systems," "Age and Age Fluctuations in an Unstable Quantum System," and discussion of many more subjects. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.
Traffic And Granular Flow 07
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Author : Cécile Appert-Rolland
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-19
Traffic And Granular Flow 07 written by Cécile Appert-Rolland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-19 with Mathematics categories.
This book covers several research fields, all of which deal with transport. Three main topics are treated: road traffic, granular matter, and biological transport. Different points of view, i.e. modelling, simulations, experiments, and phenomenological observations, are considered. Sub-topics include: highway or urban vehicular traffic (dynamics of traffic, macro/micro modelling, measurements, data analysis, security issues, psychological issues), pedestrian traffic, animal traffic (e.g. social insects), collective motion in biological systems (molecular motors...), granular flow (dense flows, intermittent flows, solid/liquid transition, jamming, force networks, fluid and solid friction), networks (biological networks, urban traffic, the internet, vulnerability of networks, optimal transport networks) and cellular automata applied to the various aforementioned fields.
Asymmetrical Concepts After Reinhart Koselleck
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Author : Kay Junge
language : en
Publisher: transcript Verlag
Release Date : 2014-03-15
Asymmetrical Concepts After Reinhart Koselleck written by Kay Junge and has been published by transcript Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-15 with History categories.
Although the asymmetrical concepts have been well-known to scholars across the social sciences and humanities, their role in structuring the human world has never been an object of detailed research. 35 years ago Reinhart Koselleck sketched out the historical semantics of the oppositions »Hellenes«/»barbarians«, »Christians«/»pagans« and »Übermensch«/»Untermensch«, but his insights, though eagerly cited, have been rarely developed in a systematic fashion. This volume intends to remedy this situation by bringing together a small number of scholars at the crossroads of history, sociology, literary criticism, linguistics, political science and international studies in order to elaborate on Koselleck's notion of asymmetric counter-concepts and adapt it to current research needs.
Structure Coherence And Chaos In Dynamical Systems
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Author : Peter L. Christiansen
language : en
Publisher: Manchester University Press
Release Date : 1989
Structure Coherence And Chaos In Dynamical Systems written by Peter L. Christiansen and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Iutam Symposium On Nonlinear Stochastic Dynamics And Control
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Author : W.Q. Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-07
Iutam Symposium On Nonlinear Stochastic Dynamics And Control written by W.Q. Zhu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-07 with Science categories.
Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1976
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mechanics, Applied categories.