Dynamics and Analysis of Alignment Models of Collective Behavior

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Release : 2021-05-13
Genre : Mathematics
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Book Rating : 475/5 ( reviews)

Dynamics and Analysis of Alignment Models of Collective Behavior - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics and Analysis of Alignment Models of Collective Behavior write by Roman Shvydkoy. This book was released on 2021-05-13. Dynamics and Analysis of Alignment Models of Collective Behavior available in PDF, EPUB and Kindle. This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.

Collective Dynamics

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Release : 1961
Genre : Social groups
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Collective Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Collective Dynamics write by Kurt Lang. This book was released on 1961. Collective Dynamics available in PDF, EPUB and Kindle.

Human Collective Behavior Models: Language, Cooperation and Social Conventions

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Release : 2018
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Human Collective Behavior Models: Language, Cooperation and Social Conventions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Human Collective Behavior Models: Language, Cooperation and Social Conventions write by Roberta Amato. This book was released on 2018. Human Collective Behavior Models: Language, Cooperation and Social Conventions available in PDF, EPUB and Kindle. The topics dealt with in this thesis are all part of the general problem of social consensus, namely how a convention flourish and decay and what motivates people to conform to it. Examples range from driving on the right side of the street, to language, rules of courtesy or moral judgments. Some conventions arise directly from the need to coordinate or conform, such as fashion or speaking the same language, others, instead, apply to situations where there is a tension between individual and collective interest, such as cooperation, reciprocity, etc. This thesis is developed around three main questions still open in the research field of collective human behavior: how coexistence of concurrent conventions is possible, why cooperation in real systems is more common than predicted and how a population undergoes collective behavioral change, namely how an initially minority norm can supplant a majority ones. In the first work, we study the impact of concurrent social pressures in consensus processes. We propose a model of opinion competition where individuals participate in different social networks and receive conflicting social influences. The dynamics take place in two distinct domains, which we model as layers of a multiplex network. The novelty of our study lies to the fact that individuals can have different options in the different layers. This naturally reflects a common situation where an individual can possess some different opinions in different social contexts as a result of consensus with other individuals in the one context but not in the other. Our analysis shows that the latter property enriches the system's dynamics and allows not only for consensus into a single state for both layers, but also for active dynamical states of coexistence of both options. In the second model, we analyze the influence of opinion dynamic in competitive strategical games. Cooperation between humans is quite common and stable behavior even in situations where both game theory and experiments predict defection prevalence. One of the reasons could be just the fact that individuals engaging in strategic interactions are also exposed to social influence and, consequently, to the spread of opinions. We present a new evolutionary game model where game and opinions dynamics take place in different layers of a multiplex network. We show that the coupling between the two dynamical processes can lead to cooperation in scenarios where the pure game dynamics predicts defection and, in some particular setting, gives rise to a metastable state in which nodes that adopt the same strategy self-organize into local groups. In the last work, we present the first extensive quantitative analysis of the phenomenon of norm change by looking at 2,365 orthographic and lexical norms shifts occurred in English and Spanish over the last two centuries as recorded by millions of digitized books. We are able to identify three distinct patterns in the data depending on the nature of the norm shift. Furthermore, we propose a simple evolutionary model that captures all the identified mechanisms and reproduces quantitatively the transitions between norms. This work advances the current understanding of norm shifts in language change, most often limited to qualitative illustrations (e.g., the observation that adoption curve of the new norm follows an ‘S-shaped' behavior.

Hyperbolic Problems: Theory, Numerics, Applications. Volume I

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Book Rating : 601/5 ( reviews)

Hyperbolic Problems: Theory, Numerics, Applications. Volume I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hyperbolic Problems: Theory, Numerics, Applications. Volume I write by Carlos Parés. This book was released on . Hyperbolic Problems: Theory, Numerics, Applications. Volume I available in PDF, EPUB and Kindle.

Polymer and Cell Dynamics

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 43X/5 ( reviews)

Polymer and Cell Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polymer and Cell Dynamics write by Wolfgang Alt. This book was released on 2012-12-06. Polymer and Cell Dynamics available in PDF, EPUB and Kindle. Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. Based on an international workshop on numerical simulations of polymer and cell dynamics in Bad Honnef (Germany) in 2000, this volume provides an overview of the relevant mathematical and numerical methods, their applications and limits. Polymer and Cell Dynamics will be of interest to scientists and advanced undergraduates.