Fine Structures of Hyperbolic Diffeomorphisms

Fine Structures of Hyperbolic Diffeomorphisms PDF

Author: Alberto Adrego Pinto

Publisher: Springer Science & Business Media

Published: 2008-09-30

Total Pages: 359

ISBN-13: 3540875255

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The study of hyperbolic systems is one of the core themes of modern dynamical systems. This book plays an important role in filling a gap in the present literature on hyperbolic dynamics and is highly recommended for all PhD students interested in this field.

Dynamics, Games and Science I

Dynamics, Games and Science I PDF

Author: Mauricio Matos Peixoto

Publisher: Springer Science & Business Media

Published: 2011-03-29

Total Pages: 812

ISBN-13: 3642114563

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Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology. The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008. The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.

Lozi Mappings

Lozi Mappings PDF

Author: Zeraoulia Elhadj

Publisher: CRC Press

Published: 2013-08-17

Total Pages: 334

ISBN-13: 1466580720

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This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map. Henon map is one of the most studied examples in dynamical systems and it attracts a lot of attention from researchers, however it is difficult to analyze analytically. Simpler structure of the Lozi map makes it more suitable fo

Robust Chaos and Its Applications

Robust Chaos and Its Applications PDF

Author: Elhadj Zeraoulia

Publisher: World Scientific

Published: 2012

Total Pages: 473

ISBN-13: 9814374083

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Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.

Modeling, Dynamics, Optimization and Bioeconomics I

Modeling, Dynamics, Optimization and Bioeconomics I PDF

Author: Alberto Adrego Pinto

Publisher: Springer

Published: 2014-06-20

Total Pages: 753

ISBN-13: 331904849X

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This volume explores the emerging and current, cutting-edge theories and methods of modeling, optimization, dynamics and bio economy. It provides an overview of the main issues, results and open questions in these fields as well as covers applications to biology, economy, energy, industry, physics, psychology and finance. The majority of the contributed papers for this volume come from the participants of the International Conference on Modeling, Optimization and Dynamics (ICMOD 2010), a satellite conference of EURO XXIV Lisbon 2010, which took place at Faculty of Sciences of University of Porto, Portugal and from the Berkeley Bio economy Conference 2012, at the University of California, Berkeley, USA.

Nonlinear Maps and their Applications

Nonlinear Maps and their Applications PDF

Author: Clara Grácio

Publisher: Springer Science & Business Media

Published: 2014-02-18

Total Pages: 175

ISBN-13: 1461491614

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In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists. This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2011) held in Évora, Portugal, on September 15-16, 2011. This kind of collaborative effort is of paramount importance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well as researchers in the field.

New Trends in One-Dimensional Dynamics

New Trends in One-Dimensional Dynamics PDF

Author: Maria José Pacifico

Publisher: Springer Nature

Published: 2019-12-14

Total Pages: 333

ISBN-13: 3030168336

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This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Dynamical Systems

Dynamical Systems PDF

Author: C. Marchioro

Publisher: Springer Science & Business Media

Published: 2011-06-10

Total Pages: 312

ISBN-13: 3642139299

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Lectures: J. Guckenheimer: Bifurcations of dynamical systems.- J. Moser: Various aspects of integrable.- S. Newhouse: Lectures on dynamical systems.- Seminars: A. Chenciner: Hopf bifurcation for invariant tori.- M. Misiurewicz: Horseshoes for continuous mappings of an interval.

Discrete Dynamics and Difference Equations

Discrete Dynamics and Difference Equations PDF

Author: Saber N. Elaydi

Publisher: World Scientific

Published: 2010

Total Pages: 438

ISBN-13: 9814287644

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This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.