Spatio-Temporal Pattern Formation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461218500
Total Pages : 310 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Spatio-Temporal Pattern Formation by : Daniel Walgraef

Download or read book Spatio-Temporal Pattern Formation written by Daniel Walgraef and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.

On Growth and Form

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Growth and Form by : M. A. J. Chaplain

Download or read book On Growth and Form written by M. A. J. Chaplain and published by John Wiley & Sons. This book was released on 1999 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Growth and Form Spatio-temporal Pattern Formation in Biology M. A. J. Chaplain and G. D. Singh, both of the University of Dundee, UK J. C. McLachlan, St. Andrews University, UK Spatio-temporal pattern formation is a major area of research within the subject of mathematical biology. The topic involves the use of mathematical modelling to analyse how patterns in biology are created and develop. For example, the growth, over time, of the intricate and beautiful patterns on certain sea-shells or the striped markings on a tiger can be modelled and their development predicted in terms of non-linear mathematical processes. The current volume captures the breadth of recent research into various aspects of spatio-temporal pattern and form, such as development biology, reaction-diffusion systems and morphometrics. * Brings the ideas of the classic On Growth and Form by D'Arcy Thompson, the founding classic of mathematical biology, fully up to date and looks to future developments in the subject * Foreword provided by Professor John Tyler Bonner, Princeton University * World class collection of internationally renowned contributors from both experimental and theoretical backgrounds Taking its inspiration from D'Arcy Thompson's classic and still influential volume On Growth and Form, this new volume presents a collection of 21 articles from the Plenary Speakers of the recent D'Arcy Thompson Conference, held at the University of Dundee, 20-24 September 1998. The topics covered include pattern formation in development biology, reaction-diffusion systems, intercellular systems and morphometrics, offering the reader a stimulating blend of theory and experiment. This book will be of particular interest to bio-mathematicians and development biologists. Paediatric clinicians, evolutionary biologists, orthodontists, anatomists, physiologists and many other members of the biology community will also benefit greatly from it.

Spatiotemporal Patterns in Ecology and Epidemiology

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Author :
Publisher : CRC Press
ISBN 13 : 1482286130
Total Pages : 464 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Spatiotemporal Patterns in Ecology and Epidemiology by : Horst Malchow

Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by CRC Press. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology:

Spatio-temporal Patterns in Nonequilibrium Complex Systems

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Publisher :
ISBN 13 :
Total Pages : 679 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Spatio-temporal Patterns in Nonequilibrium Complex Systems by : P. E. Cladis

Download or read book Spatio-temporal Patterns in Nonequilibrium Complex Systems written by P. E. Cladis and published by . This book was released on 1995 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642556884
Total Pages : 628 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonlinear Dynamics by : Muthusamy Lakshmanan

Download or read book Nonlinear Dynamics written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Cellular Automaton Modeling of Biological Pattern Formation

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Publisher : Birkhäuser
ISBN 13 : 1489979808
Total Pages : 464 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Cellular Automaton Modeling of Biological Pattern Formation by : Andreas Deutsch

Download or read book Cellular Automaton Modeling of Biological Pattern Formation written by Andreas Deutsch and published by Birkhäuser. This book was released on 2018-03-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews

Bifurcation Theory and Spatio-Temporal Pattern Formation

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821837257
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Bifurcation Theory and Spatio-Temporal Pattern Formation by : Wayne Nagata

Download or read book Bifurcation Theory and Spatio-Temporal Pattern Formation written by Wayne Nagata and published by American Mathematical Soc.. This book was released on 2006-10-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert's 16th problem. Most of the book consists of expository survey material, and so can serve as a source of convenient entry points to current research topics in nonlinear dynamics and pattern formation. This volume arose from a workshop held at the Fields Institute in December of 2003, honoring Professor William F. Langford's fundamental work on the occasion of his sixtieth birthday. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

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Publisher : Cambridge University Press
ISBN 13 : 0521451868
Total Pages : 422 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors by : Eckehard Schöll

Download or read book Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors written by Eckehard Schöll and published by Cambridge University Press. This book was released on 2001-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.

Bifurcation Theory and Spatio-temporal Pattern Formation

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Author :
Publisher :
ISBN 13 : 9781470430832
Total Pages : 177 pages
Book Rating : 4.4/5 (38 download)

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Book Synopsis Bifurcation Theory and Spatio-temporal Pattern Formation by :

Download or read book Bifurcation Theory and Spatio-temporal Pattern Formation written by and published by . This book was released on 2006 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert's 16th problem. Most of the book consists o.

Pattern Formation and Dynamics in Nonequilibrium Systems

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Publisher : Cambridge University Press
ISBN 13 : 0521770505
Total Pages : 547 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Pattern Formation and Dynamics in Nonequilibrium Systems by : Michael Cross

Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Spatio-temporal Patterns In Nonequilibrium Complex Systems

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Author :
Publisher : Westview Press
ISBN 13 : 9780201409840
Total Pages : 679 pages
Book Rating : 4.4/5 (98 download)

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Book Synopsis Spatio-temporal Patterns In Nonequilibrium Complex Systems by : Patricia E. Cladis

Download or read book Spatio-temporal Patterns In Nonequilibrium Complex Systems written by Patricia E. Cladis and published by Westview Press. This book was released on 1995-01-20 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Details advances in complex systems, a branch of physics that impacts fields such as technologies and processes, economics and biology. The book explains how complex systems are a first step towards a description of the variety of phenomena included under the rubric physics of complex systems.

From Pattern Formation to Material Computation

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Publisher : Springer
ISBN 13 : 3319168231
Total Pages : 370 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis From Pattern Formation to Material Computation by : Jeff Jones

Download or read book From Pattern Formation to Material Computation written by Jeff Jones and published by Springer. This book was released on 2015-05-15 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses topics of mobile multi-agent systems, pattern formation, biological modelling, artificial life, unconventional computation, and robotics. The behaviour of a simple organism which is capable of remarkable biological and computational feats that seem to transcend its simple component parts is examined and modelled. In this book the following question is asked: How can something as simple as Physarum polycephalum - a giant amoeboid single-celled organism which does not possess any neural tissue, fixed skeleton or organised musculature - can approximate complex computational behaviour during its foraging, growth and adaptation of its amorphous body plan, and with such limited resources? To answer this question the same apparent limitations as faced by the organism are applied: using only simple components with local interactions. A synthesis approach is adopted and a mobile multi-agent system with very simple individual behaviours is employed. It is shown their interactions yield emergent behaviour showing complex self-organised pattern formation with material-like evolution. The presented model reproduces the biological behaviour of Physarum; the formation, growth and minimisation of transport networks. In its conclusion the book moves beyond Physarum and provides results of scoping experiments approximating other complex systems using the multi-agent approach. The results of this book demonstrate the power and range of harnessing emergent phenomena arising in simple multi-agent systems for biological modelling, computation and soft-robotics applications. It methodically describes the necessary components and their interactions, showing how deceptively simple components can create powerful mechanisms, aided by abundant illustrations, supplementary recordings and interactive models. It will be of interest to those in biological sciences, physics, computer science and robotics who wish to understand how simple components can result in complex and useful behaviours and who wish explore the potential of guided pattern formation themselves.

Transverse-Pattern Formation in Photorefractive Optics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540021094
Total Pages : 360 pages
Book Rating : 4.0/5 (21 download)

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Book Synopsis Transverse-Pattern Formation in Photorefractive Optics by : Cornelia Denz

Download or read book Transverse-Pattern Formation in Photorefractive Optics written by Cornelia Denz and published by Springer Science & Business Media. This book was released on 2003-09-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview of current developments in nonlinear photorefractive optics. The book dicusses exciting discoveries, with special emphasis on transverse effects such as spatial soliton formation and interaction, spontaneous pattern formation and pattern competition in active feedback systems. Different aspects of potential applications, such as wave guiding in adaptive photorefractive solitons and techniques for pattern control for information processing, are also described.

Periodic Precipitation

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Publisher : Elsevier
ISBN 13 : 1483296806
Total Pages : 136 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Periodic Precipitation by : H. K. Henisch

Download or read book Periodic Precipitation written by H. K. Henisch and published by Elsevier. This book was released on 2014-06-28 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing illustrations, worked examples, graphs and tables, this book deals with periodic precipitation (also known as Liesegang Ring formation) in terms of mathematical models and their logical consequences, and is entirely concerned with microcomputer analysis and software development. Three distinctive periodic precipitation mechanisms are included: binary diffusion-reaction; solubility modulation, and competitive particle growth. The book provides didactic illustrations of a valuable investigational procedure, in the form of hypothetical experimentation by microcomputer. The development of appropriate software is described and the resulting programs are available separately on disk. The software (for IBM compatible microcomputers; 5 1/4 and 3 1/2 inch disks available) will be sold separately by, The Carnation Press, PO Box 101, State College, PA 16804, USA.

Granular Patterns

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Publisher : OUP Oxford
ISBN 13 : 0191560006
Total Pages : 368 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Granular Patterns by : Igor Aranson

Download or read book Granular Patterns written by Igor Aranson and published by OUP Oxford. This book was released on 2009-03-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic introduction to a new and exciting field of patterns in granular matter. Granular materials are collections of discrete macroscopic solid grains with a typical size large enough that thermal fluctuations are negligible. Despite this seeming simplicity, properties of granular materials are different from conventional solids, liquids and gases due to the dissipative and highly nonlinear nature of forces among grains. The last decade has seen an explosion of interest to nonequilibrium phenomena in granular matter among physicists, both on the experimental and theoretical side. Among these phenomena, one of the most interesting is the ability of granular matter upon mechanical excitation to form highly ordered patterns such as ripples, avalanches, or bands of segregated materials. This book presents a comprehensive review of experiments and novel theoretical concepts needed to understand the mechanisms of pattern formation in granular materials. This book is written for experienced physicists interested in this new rapidly developing field, as well as young researchers and graduate students entering this field. We hope that both experimentalists and theorists already working in the field will find it useful.

Spatio-Temporal Patterns in Nonequilibrium Complex Systems

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Author :
Publisher : Addison Wesley Longman
ISBN 13 : 9780201149395
Total Pages : 704 pages
Book Rating : 4.1/5 (493 download)

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Book Synopsis Spatio-Temporal Patterns in Nonequilibrium Complex Systems by : Breyer

Download or read book Spatio-Temporal Patterns in Nonequilibrium Complex Systems written by Breyer and published by Addison Wesley Longman. This book was released on 1968-01 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neural Fields

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Publisher : Springer
ISBN 13 : 3642545939
Total Pages : 487 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Neural Fields by : Stephen Coombes

Download or read book Neural Fields written by Stephen Coombes and published by Springer. This book was released on 2014-06-17 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.