Toru Ohira's Books

Mathematics as a Laboratory Tool

Dynamics, Delays and Noise

By: John Milton,Toru Ohira

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Mathematics as a Laboratory Tool

Dynamics, Delays and Noise

By: John Milton,Toru Ohira

The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations. Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.

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Page Count

650

Publisher

Springer Nature

Published Date

ISBN 10

3030695794

ISBN 13

9783030695798

Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions

By: Atsushi Kamimura,Toru Ohira

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Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions

By: Atsushi Kamimura,Toru Ohira

This book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics.

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Page Count

127

Publisher

Springer Nature

Published Date

ISBN 10

9811517312

ISBN 13

9789811517310

Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions

By: Atsushi Kamimura,Toru Ohira

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Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions

By: Atsushi Kamimura,Toru Ohira

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

127

Publisher

Springer Nature

Published Date

ISBN 10

9811517312

ISBN 13

9789811517310

Book's by Toru Ohira

Mathematics as a Laboratory Tool

Mathematics as a Laboratory Tool

Group Chase and Escape

Group Chase and Escape

Group Chase and Escape

Group Chase and Escape

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