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Pattern Formation In Continuous And Coupled Systems


Pattern Formation In Continuous And Coupled Systems
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Pattern Formation In Continuous And Coupled Systems


Pattern Formation In Continuous And Coupled Systems
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Author : Martin Golubitsky
language : en
Publisher:
Release Date : 1999-06-01

Pattern Formation In Continuous And Coupled Systems written by Martin Golubitsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-01 with categories.




Pattern Formation


Pattern Formation
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Author : Rebecca B. Hoyle
language : en
Publisher: Cambridge University Press
Release Date : 2006-03-17

Pattern Formation written by Rebecca B. Hoyle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-17 with Mathematics categories.


Fully illustrated mathematical guide to pattern formation. Includes instructive exercises and examples.



Pattern Formation In Continuous And Coupled Systems


Pattern Formation In Continuous And Coupled Systems
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Author : Martin Golubitsky
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-22

Pattern Formation In Continuous And Coupled Systems written by Martin Golubitsky 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 1999-06-22 with Gardening categories.


Systems that generate new types of pattern such as discrete coupled systems, systems with global coupling, and combustion experiments were stressed, as were new types of pattern."--BOOK JACKET.



The Symmetry Perspective


The Symmetry Perspective
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Author : Martin Golubitsky
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

The Symmetry Perspective written by Martin Golubitsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS



Dynamics And Bifurcation In Networks


Dynamics And Bifurcation In Networks
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Author : Martin Golubitsky
language : en
Publisher: SIAM
Release Date : 2023-04-24

Dynamics And Bifurcation In Networks written by Martin Golubitsky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-24 with Mathematics categories.


In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the common features of many such models, providing a general framework analogous to the modern theory of nonlinear dynamical systems. How networks lead to behavior not typical in a general dynamical system and how the architecture and symmetry of the network influence this behavior are the book’s main themes. Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors introduce a definition of a network and the associated class of “admissible” ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems. They also develop connections between network architecture and the typical dynamics and bifurcations of these equations and discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions. This book will be of interest to scientific researchers in any area that uses network models, which includes many parts of biology, physics, chemistry, computer science, electrical and electronic engineering, psychology, and sociology.



Statistical Models In Epidemiology The Environment And Clinical Trials


Statistical Models In Epidemiology The Environment And Clinical Trials
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Author : M.Elizabeth Halloran
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Statistical Models In Epidemiology The Environment And Clinical Trials written by M.Elizabeth Halloran 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 2012-12-06 with Medical categories.


This IMA Volume in Mathematics and its Applications STATISTICAL MODELS IN EPIDEMIOLOGY, THE ENVIRONMENT,AND CLINICAL TRIALS is a combined proceedings on "Design and Analysis of Clinical Trials" and "Statistics and Epidemiology: Environment and Health. " This volume is the third series based on the proceedings of a very successful 1997 IMA Summer Program on "Statistics in the Health Sciences. " I would like to thank the organizers: M. Elizabeth Halloran of Emory University (Biostatistics) and Donald A. Berry of Duke University (Insti tute of Statistics and Decision Sciences and Cancer Center Biostatistics) for their excellent work as organizers of the meeting and for editing the proceedings. I am grateful to Seymour Geisser of University of Minnesota (Statistics), Patricia Grambsch, University of Minnesota (Biostatistics); Joel Greenhouse, Carnegie Mellon University (Statistics); Nicholas Lange, Harvard Medical School (Brain Imaging Center, McLean Hospital); Barry Margolin, University of North Carolina-Chapel Hill (Biostatistics); Sandy Weisberg, University of Minnesota (Statistics); Scott Zeger, Johns Hop kins University (Biostatistics); and Marvin Zelen, Harvard School of Public Health (Biostatistics) for organizing the six weeks summer program. I also take this opportunity to thank the National Science Foundation (NSF) and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr.



Dynamics Of Algorithms


Dynamics Of Algorithms
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Author : Rafael de la Llave
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Dynamics Of Algorithms written by Rafael de la Llave 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 2012-12-06 with Mathematics categories.


The articles collected in this volume represent the contributions presented at the IMA workshop on "Dynamics of Algorithms" which took place in November 1997. The workshop was an integral part of the 1997 -98 IMA program on "Emerging Applications of Dynamical Systems." The interaction between algorithms and dynamical systems is mutually beneficial since dynamical methods can be used to study algorithms that are applied repeatedly. Convergence, asymptotic rates are indeed dynamical properties. On the other hand, the study of dynamical systems benefits enormously from having efficient algorithms to compute dynamical objects.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007

Mathematical 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 2007 with Mathematics categories.




Deterministic Learning Theory For Identification Recognition And Control


Deterministic Learning Theory For Identification Recognition And Control
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Author : Cong Wang
language : en
Publisher: CRC Press
Release Date : 2018-10-03

Deterministic Learning Theory For Identification Recognition And Control written by Cong Wang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Technology & Engineering categories.


Deterministic Learning Theory for Identification, Recognition, and Control presents a unified conceptual framework for knowledge acquisition, representation, and knowledge utilization in uncertain dynamic environments. It provides systematic design approaches for identification, recognition, and control of linear uncertain systems. Unlike many books currently available that focus on statistical principles, this book stresses learning through closed-loop neural control, effective representation and recognition of temporal patterns in a deterministic way. A Deterministic View of Learning in Dynamic Environments The authors begin with an introduction to the concepts of deterministic learning theory, followed by a discussion of the persistent excitation property of RBF networks. They describe the elements of deterministic learning, and address dynamical pattern recognition and pattern-based control processes. The results are applicable to areas such as detection and isolation of oscillation faults, ECG/EEG pattern recognition, robot learning and control, and security analysis and control of power systems. A New Model of Information Processing This book elucidates a learning theory which is developed using concepts and tools from the discipline of systems and control. Fundamental knowledge about system dynamics is obtained from dynamical processes, and is then utilized to achieve rapid recognition of dynamical patterns and pattern-based closed-loop control via the so-called internal and dynamical matching of system dynamics. This actually represents a new model of information processing, i.e. a model of dynamical parallel distributed processing (DPDP).



Bifurcation Symmetry And Patterns


Bifurcation Symmetry And Patterns
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Author : Jorge Buescu
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Bifurcation Symmetry And Patterns written by Jorge Buescu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.