Braids And Dynamics

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Braids And Dynamics

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Author : Jean-Luc Thiffeault
language : en
Publisher: Springer Nature
Release Date : 2022-09-05

Braids And Dynamics written by Jean-Luc Thiffeault and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-05 with Mathematics categories.

This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.

Braids

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Author : A. Jon Berrick
language : en
Publisher: World Scientific
Release Date : 2010

Braids written by A. Jon Berrick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

Tutorial on the braid groups / Dale Rolfsen -- Simplicial objects and homotopy groups / Jie Wu -- Introduction to configuration spaces and their applications / Frederick R. Cohen -- Configuration spaces, braids, and robotics / Robert Ghrist -- Braids and magnetic fields / Mitchell A. Berger -- Braid group cryptography / David Garber

Braids

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Author : Joan S. Birman
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Braids written by Joan S. Birman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held at the University of California, Santa Cruz, in July 1986. This work is suitable for graduate students and researchers who wish to learn more about braids, as well as more experienced workers in this area.

Modern Approaches To The Visualization Of Landscapes

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Author : Dennis Edler
language : en
Publisher: Springer Nature
Release Date : 2021-01-31

Modern Approaches To The Visualization Of Landscapes written by Dennis Edler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-31 with Social Science categories.

The volume deals with the effects of digitization on spatial and especially landscape construction processes and their visualization. A focus lies on the generation mechanisms of 'landscapes' with digital tools of cartography and geomatics, including possibilities to model and visualize non-visual stimuli, but also spatial-temporal changes of physical space. Another focus is on how virtual spaces have already become part of the social and individual construction of landscape. Potentials of combining modern media of spatial visualization and (constructivist) landscape research are discussed.

Progress In Variational Methods

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Author : Chungen Liu
language : en
Publisher: World Scientific
Release Date : 2010

Progress In Variational Methods written by Chungen Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis: critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.

The User S Approach To Topological Methods In 3d Dynamical Systems

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Author : Mario A. Natiello
language : en
Publisher: World Scientific
Release Date : 2007

The User S Approach To Topological Methods In 3d Dynamical Systems written by Mario A. Natiello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.

Chaos Fractals And Dynamics

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Author : Fischer
language : en
Publisher: CRC Press
Release Date : 2020-11-25

Chaos Fractals And Dynamics written by Fischer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.

This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were generated by computer calculations of underlying two-dimensional maps.

Dynamics Of Complex Interconnected Systems Networks And Bioprocesses

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Author : Arne T. Skjeltorp
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-22

Dynamics Of Complex Interconnected Systems Networks And Bioprocesses written by Arne T. Skjeltorp 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 2006-12-22 with Science categories.

This book reviews the synergism between various fields of research that are confronted with networks, such as genetic and metabolic networks, social networks, the Internet and ecological systems. In many cases, the interacting networks manifest so-called emergent properties that are not possessed by any of the individual components. Knowledge gained from the study of complex non-biological systems can be applied to the intricate braided relationships that govern cellular functions.

The User S Approach For Topological Methods In 3d Dynamical Systems

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Author : Mario A Natiello
language : en
Publisher: World Scientific
Release Date : 2007-06-15

The User S Approach For Topological Methods In 3d Dynamical Systems written by Mario A Natiello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-15 with Mathematics categories.

This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.

Handbook Of Topological Fixed Point Theory

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Author : Robert F. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-10

Handbook Of Topological Fixed Point Theory written by Robert F. Brown 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 2005-06-10 with Mathematics categories.

This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.