Frontiers In Complex Dynamics

Author : Araceli Bonifant,Misha Lyubich,Scott Sutherland
Publisher : Princeton University Press
Page : 824 pages
File Size : 52,9 Mb
Release : 2014-03-16
Category : Mathematics
ISBN : 9781400851317

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Frontiers in Complex Dynamics by Araceli Bonifant,Misha Lyubich,Scott Sutherland Pdf

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.

Author : Araceli Bonifant,Misha Lyubich,Scott Sutherland
Publisher : Princeton University Press
Page : 799 pages
File Size : 41,7 Mb
Release : 2014-03-16
Category : Mathematics
ISBN : 9780691159294

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Frontiers in Complex Dynamics by Araceli Bonifant,Misha Lyubich,Scott Sutherland Pdf

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.

Author : Araceli Bonifant,Mikhail Lyubich,Scott Sutherland
Publisher : Unknown
Page : 824 pages
File Size : 42,8 Mb
Release : 2014
Category : Differentiable dynamical systems
ISBN : 1400851394

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Frontiers in Complex Dynamics by Araceli Bonifant,Mikhail Lyubich,Scott Sutherland Pdf

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.

Author : Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan
Publisher : Springer
Page : 315 pages
File Size : 41,6 Mb
Release : 2017-11-17
Category : Science
ISBN : 9783319681092

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Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives by Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan Pdf

The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Author : Elhadj Zeraoulia,Julien C. Sprott
Publisher : World Scientific
Page : 268 pages
File Size : 50,5 Mb
Release : 2011
Category : Science
ISBN : 9789814340694

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Frontiers in the Study of Chaotic Dynamical Systems with Open Problems by Elhadj Zeraoulia,Julien C. Sprott Pdf

This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.

Author : Curtis T. McMullen
Publisher : Princeton University Press
Page : 214 pages
File Size : 53,8 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882557

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Complex Dynamics and Renormalization (AM-135), Volume 135 by Curtis T. McMullen Pdf

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.

Author : Eckehard Schöll,Anna Zakharova,Ralph G. Andrzejak
Publisher : Frontiers Media SA
Page : 148 pages
File Size : 42,7 Mb
Release : 2020-01-03
Category : Electronic
ISBN : 9782889633111

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Chimera States in Complex Networks by Eckehard Schöll,Anna Zakharova,Ralph G. Andrzejak Pdf

Author : Heinz-Otto Peitgen,Peter H. Richter
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 53,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642617171

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The Beauty of Fractals by Heinz-Otto Peitgen,Peter H. Richter Pdf

Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Author : José António Tenreiro Machado,Dumitru Baleanu,Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 53,9 Mb
Release : 2011-08-28
Category : Technology & Engineering
ISBN : 9781461402312

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Nonlinear and Complex Dynamics by José António Tenreiro Machado,Dumitru Baleanu,Albert C. J. Luo Pdf

Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.

Author : Chaouqi Misbah
Publisher : Springer
Page : 463 pages
File Size : 49,5 Mb
Release : 2016-12-01
Category : Science
ISBN : 9789402410204

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Complex Dynamics and Morphogenesis by Chaouqi Misbah Pdf

This book offers an introduction to the physics of nonlinear phenomena through two complementary approaches: bifurcation theory and catastrophe theory. Readers will be gradually introduced to the language and formalisms of nonlinear sciences, which constitute the framework to describe complex systems. The difficulty with complex systems is that their evolution cannot be fully predicted because of the interdependence and interactions between their different components. Starting with simple examples and working toward an increasing level of universalization, the work explores diverse scenarios of bifurcations and elementary catastrophes which characterize the qualitative behavior of nonlinear systems. The study of temporal evolution is undertaken using the equations that characterize stationary or oscillatory solutions, while spatial analysis introduces the fascinating problem of morphogenesis. Accessible to undergraduate university students in any discipline concerned with nonlinear phenomena (physics, mathematics, chemistry, geology, economy, etc.), this work provides a wealth of information for teachers and researchers in these various fields. Chaouqi Misbah is a senior researcher at the CNRS (National Centre of Scientific Research in France). His work spans from pattern formation in nonlinear science to complex fluids and biophysics. In 2002 he received a major award from the French Academy of Science for his achievements and in 2003 Grenoble University honoured him with a gold medal. Leader of a group of around 40 scientists, he is a member of the editorial board of the French Academy of Science since 2013 and also holds numerous national and international responsibilities.

Author : Keith Davids,Robert Hristovski,Duarte Araújo,Natalia Balague Serre,Chris Button,Pedro Passos
Publisher : Routledge
Page : 366 pages
File Size : 49,9 Mb
Release : 2013-11-20
Category : Medical
ISBN : 9781136482151

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Complex Systems in Sport by Keith Davids,Robert Hristovski,Duarte Araújo,Natalia Balague Serre,Chris Button,Pedro Passos Pdf

Complex systems in nature are those with many interacting parts, all capable of influencing global system outcomes. There is a growing body of research that has modeled sport performance from a complexity sciences perspective, studying the behavior of individual athletes and sports teams as emergent phenomena which self-organise under interacting constraints. This book is the first to bring together experts studying complex systems in the context of sport from across the world to collate core theoretical ideas, current methodologies and existing data into one comprehensive resource. It offers new methods of analysis for investigating representative complex sport movements and actions at an individual and team level, exploring the application of methodologies from the complexity sciences in the context of sports performance and the organization of sport practice. Complex Systems in Sport is important reading for any advanced student or researcher working in sport and exercise science, sports coaching, kinesiology or human movement.

Author : Plamen Ch. Ivanov,Andras Eke,Olga Sosnovtseva
Publisher : Frontiers Media SA
Page : 842 pages
File Size : 42,5 Mb
Release : 2022-02-17
Category : Science
ISBN : 9782889714353

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The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems by Plamen Ch. Ivanov,Andras Eke,Olga Sosnovtseva Pdf

Author : Ramon G. Rubio,Yuri S. Ryazantsev,Victor M Starov,Guo-Xiang Huang,Alexander P Chetverikov,Paolo Arena,Alex A. Nepomnyashchy,Alberto Ferrus,Eugene G. Morozov
Publisher : Springer
Page : 781 pages
File Size : 41,5 Mb
Release : 2013-05-30
Category : Science
ISBN : 9783642340703

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Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics by Ramon G. Rubio,Yuri S. Ryazantsev,Victor M Starov,Guo-Xiang Huang,Alexander P Chetverikov,Paolo Arena,Alex A. Nepomnyashchy,Alberto Ferrus,Eugene G. Morozov Pdf

Bringing together over fifty contributions on all aspects of nonlinear and complex dynamics, this impressive topical collection is both a scientific and personal tribute, on the occasion of his 70th birthday, by many outstanding colleagues in the broad fields of research pursued by Prof. Manuel G Velarde. The topics selected reflect the research areas covered by the famous Instituto Pluridisciplinar at the Universidad Complutense of Madrid, which he co-founded over two decades ago, and include: fluid physics and related nonlinear phenomena at interfaces and in other geometries, wetting and spreading dynamics, geophysical and astrophysical flows, and novel aspects of electronic transport in anharmonic lattices, as well as topics in neurodynamics and robotics.

Author : Paul Denis Stevenson,Cedric Simenel,Denis Lacroix,Lu Guo,Nicolas Schunck
Publisher : Frontiers Media SA
Page : 171 pages
File Size : 51,9 Mb
Release : 2021-03-08
Category : Science
ISBN : 9782889665679

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Advances in Time-Dependent Methods for Nuclear Structure and Dynamics by Paul Denis Stevenson,Cedric Simenel,Denis Lacroix,Lu Guo,Nicolas Schunck Pdf

Author : Mason Porter,James Gleeson
Publisher : Springer
Page : 80 pages
File Size : 52,5 Mb
Release : 2016-03-31
Category : Mathematics
ISBN : 9783319266411

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Dynamical Systems on Networks by Mason Porter,James Gleeson Pdf

This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.