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Handbook of Dynamical Systems

Handbook of Dynamical Systems
A Book

by B. Fiedler

  • Publisher : Gulf Professional Publishing
  • Release : 2002-02-21
  • Pages : 1098
  • ISBN : 9780080532844
  • Language : En, Es, Fr & De
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This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles.

Handbook of Dynamical Systems

Handbook of Dynamical Systems
A Book

by B. Hasselblatt,A. Katok

  • Publisher : Elsevier
  • Release : 2002-08-20
  • Pages : 1232
  • ISBN : 9780080533445
  • Language : En, Es, Fr & De
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Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005.

Handbook of Dynamical Systems

Handbook of Dynamical Systems
A Book

by H. Broer,F. Takens,B. Hasselblatt

  • Publisher : Elsevier
  • Release : 2010-11-10
  • Pages : 560
  • ISBN : 9780080932262
  • Language : En, Es, Fr & De
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In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems

Handbook of Dynamic System Modeling

Handbook of Dynamic System Modeling
A Book

by Paul A. Fishwick

  • Publisher : CRC Press
  • Release : 2007-06-01
  • Pages : 760
  • ISBN : 9781420010855
  • Language : En, Es, Fr & De
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The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic System Modeling explores a panoply of different types of modeling methods available for dynamical systems. Featuring an interdisciplinary, balanced approach, the handbook focuses on both generalized dynamic knowledge and specific models. It first introduces the general concepts, representations, and philosophy of dynamic models, followed by a section on modeling methodologies that explains how to portray designed models on a computer. After addressing scale, heterogeneity, and composition issues, the book covers specific model types that are often characterized by specific visual- or text-based grammars. It concludes with case studies that employ two well-known commercial packages to construct, simulate, and analyze dynamic models. A complete guide to the fundamentals, types, and applications of dynamic models, this handbook shows how systems function and are represented over time and space and illustrates how to select a particular model based on a specific area of interest.

Topological Dynamics of Random Dynamical Systems

Topological Dynamics of Random Dynamical Systems
A Book

by Nguyen Dinh Cong,Research Fellow Institute for Dynamical Systems Nguyen Dinh Cong

  • Publisher : Oxford University Press
  • Release : 1997
  • Pages : 203
  • ISBN : 9780198501572
  • Language : En, Es, Fr & De
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This book is a systematic presentation of the solution of one of the fundamental problems of the theory of random dynamical systems - the problem of topological classification and structural stability of linear hyperbolic random dynamical systems.

Dynamical Systems and Semisimple Groups

Dynamical Systems and Semisimple Groups
An Introduction

by Renato Feres,RENATO AUTOR FERES

  • Publisher : Cambridge University Press
  • Release : 1998-06-13
  • Pages : 245
  • ISBN : 9780521591621
  • Language : En, Es, Fr & De
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This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts on manifolds and Lie groups plus topics such as integration of infinitesimal actions of Lie groups. He then derives the basic structure theorems for the real semisimple Lie groups, such as the Cartan and Iwasawa decompositions and gives an extensive exposition of the general facts and concepts from topological dynamics and ergodic theory, including detailed proofs of the multiplicative ergodic theorem and Moore's ergodicity theorem. This book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

Handbook of Applications of Chaos Theory

Handbook of Applications of Chaos Theory
A Book

by Christos H. Skiadas,Charilaos Skiadas

  • Publisher : CRC Press
  • Release : 2017-12-19
  • Pages : 934
  • ISBN : 1466590440
  • Language : En, Es, Fr & De
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In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Integrability and Nonintegrability of Dynamical Systems

Integrability and Nonintegrability of Dynamical Systems
A Book

by Alain Goriely

  • Publisher : World Scientific
  • Release : 2001
  • Pages : 415
  • ISBN : 9789812811943
  • Language : En, Es, Fr & De
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This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems). As generic systems of differential equations cannot be exactly solved, the book reviews the different notions of nonintegrability and shows how to prove the nonexistence of exact solutions and/or a constant of motion. Finally, nonintegrability theory is linked to dynamical systems theory by showing how the property of complete integrability, partial integrability or nonintegrability can be related to regular and irregular dynamics in phase space. Contents: Integrability: An Algebraic Approach; Integrability: An Analytic Approach; Polynomial and Quasi-Polynomial Vector Fields; Nonintegrability; Hamiltonian Systems; Nearly Integrable Dynamical Systems; Open Problems. Readership: Mathematical and theoretical physicists and astronomers and engineers interested in dynamical systems.

Discrete and Continuous Dynamical Systems

Discrete and Continuous Dynamical Systems
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Handbook of Embodied Cognition and Sport Psychology

Handbook of Embodied Cognition and Sport Psychology
A Book

by Massimiliano L. Cappuccio

  • Publisher : MIT Press
  • Release : 2019-01-01
  • Pages : 808
  • ISBN : 0262038501
  • Language : En, Es, Fr & De
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The first systematic collaboration between cognitive scientists and sports psychologists considers the mind–body relationship from the perspective of athletic skill and sports practice. This landmark work is the first systematic collaboration between cognitive scientists and sports psychologists that considers the mind–body relationship from the perspective of athletic skill and sports practice. With twenty-six chapters by leading researchers, the book connects and integrates findings from fields that range from philosophy of mind to sociology of sports. The chapters show not only that sports can tell scientists how the human mind works but also that the scientific study of the human mind can help athletes succeed. Sports psychology research has always focused on the themes, notions, and models of embodied cognition; embodied cognition, in turn, has found striking confirmation of its theoretical claims in the psychological accounts of sports performance and athletic skill. Athletic skill is a legitimate form of intelligence, involving cognitive faculties no less sophisticated and complex than those required by mathematical problem solving. After presenting the key concepts necessary for applying embodied cognition to sports psychology, the book discusses skill disruption (the tendency to “choke” under pressure); sensorimotor skill acquisition and how training correlates to the development of cognitive faculties; the intersubjective and social dimension of sports skills, seen in team sports; sports practice in cultural and societal contexts; the notion of “affordance” and its significance for ecological psychology and embodied cognition theory; and the mind's predictive capabilities, which enable anticipation, creativity, improvisation, and imagination in sports performance. Contributors Ana Maria Abreu, Kenneth Aggerholm, Salvatore Maria Aglioti, Jesús Ilundáin-Agurruza, Duarte Araújo, Jürgen Beckmann, Kath Bicknell, Geoffrey P. Bingham, Jens E. Birch, Gunnar Breivik, Noel E. Brick, Massimiliano L. Cappuccio, Thomas H. Carr, Alberto Cei, Anthony Chemero, Wayne Christensen, Lincoln J. Colling, Cassie Comley, Keith Davids, Matt Dicks, Caren Diehl, Karl Erickson, Anna Esposito, Pedro Tiago Esteves, Mirko Farina, Giolo Fele, Denis Francesconi, Shaun Gallagher, Gowrishankar Ganesh, Raúl Sánchez-García, Rob Gray, Denise M. Hill, Daniel D. Hutto, Tsuyoshi Ikegami, Geir Jordet, Adam Kiefer, Michael Kirchhoff, Kevin Krein, Kenneth Liberman, Tadhg E. MacIntyre, Nelson Mauro Maldonato, David L. Mann, Richard S. W. Masters, Patrick McGivern, Doris McIlwain, Michele Merritt, Christopher Mesagno, Vegard Fusche Moe, Barbara Gail Montero, Aidan P. Moran, David Moreau, Hiroki Nakamoto, Alberto Oliverio, David Papineau, Gert-Jan Pepping, Miriam Reiner, Ian Renshaw, Michael A. Riley, Zuzanna Rucinska, Lawrence Shapiro, Paula Silva, Shannon Spaulding, John Sutton, Phillip D. Tomporowski, John Toner, Andrew D. Wilson, Audrey Yap, Qin Zhu, Christopher Madan

Encyclopedia of Mathematical Physics

Encyclopedia of Mathematical Physics
A Book

by Jean-Pierre Françoise,Gregory L. Naber,Tsou Sheung Tsun

  • Publisher : Academic Press
  • Release : 2006-06-20
  • Pages : 3500
  • ISBN : 9780125126601
  • Language : En, Es, Fr & De
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The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com. First comprehensive interdisciplinary coverage Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields Written by an international group of experts Contains several undergraduate-level introductory articles to facilitate acquisition of new expertis Thematic index and extensive cross-referencing to provide easy access and quick search functionality Also available online with active linking

Dynamical Systems with Applications using MATLAB®

Dynamical Systems with Applications using MATLAB®
A Book

by Stephen Lynch

  • Publisher : Springer
  • Release : 2014-07-22
  • Pages : 514
  • ISBN : 3319068202
  • Language : En, Es, Fr & De
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This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Handbook of Hybrid Systems Control

Handbook of Hybrid Systems Control
Theory, Tools, Applications

by Jan Lunze,Françoise Lamnabhi-Lagarrigue

  • Publisher : Cambridge University Press
  • Release : 2009-10-15
  • Pages : 565
  • ISBN : 0521765056
  • Language : En, Es, Fr & De
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Setting out core theory and reviewing a range of new methods, theoretical problems and applications, this handbook shows how hybrid dynamical systems can be modelled and understood. Sixty expert authors involved in the recent research activities and industrial application studies provide practical insights on topics ranging from the theoretical investigations over computer-aided design to applications in energy management and the process industry. Structured into three parts, the book opens with a thorough introduction to hybrid systems theory, illustrating new dynamical phenomena through numerous examples. Part II then provides a survey of key tools and tool integration activities. Finally, Part III is dedicated to applications, implementation issues and system integration, considering different domains such as industrial control, automotive systems and digital networks. Three running examples are referred to throughout the book, together with numerous illustrations, helping both researchers and industry professionals to understand complex theory, recognise problems and find appropriate solutions.

U.S. Environmental Protection Agency Library System Book Catalog Holdings as of July 1973

U.S. Environmental Protection Agency Library System Book Catalog Holdings as of July 1973
A Book

by United States. Environmental Protection Agency. Library Systems Branch

  • Publisher : Unknown Publisher
  • Release : 1974
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Oxford Handbook of Emotion Dysregulation

The Oxford Handbook of Emotion Dysregulation
A Book

by Theodore P. Beauchaine,Sheila E. Crowell,Sheila Elizabeth Crowell

  • Publisher : Oxford University Press, USA
  • Release : 2020
  • Pages : 520
  • ISBN : 0190689285
  • Language : En, Es, Fr & De
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"The Oxford Handbook of Emotion Dysregulation is the first to consider the ED construct as distinct from what is known as emotion regulation (ER; a variety of automatic and volitional strategies, behaviors, and skills that are used to modulate emotional experiences and expressions), featuring chapters by scholars whose work is on the cutting edge of basic and clinical understanding of ED. This Handbook examines the ED construct from multiple viewpoints across levels of analysis and considers the role that ED plays in the expression of various forms of psychopathology. Chapters explore basic understanding of emotions and ED as transdiagnostic constructs (Part I); cognitive, behavioral, and social approaches to evaluating ED (Part II); neurobiological advances in our understanding of ED (Part III); associations between ED and psychopathology (Part IV); and assessment and treatment of ED (Part V). Part VI includes chapters on Conclusions and Future Directions. The Handbook can serve as a primary or complementary text for advanced undergraduate and graduate-level seminars/courses on emotion dysregulation and psychopathology more broadly"--

The Oxford Handbook of Cognitive Sociology

The Oxford Handbook of Cognitive Sociology
A Book

by Wayne H. Brekhus,Gabe Ignatow

  • Publisher : Oxford Handbooks
  • Release : 2019
  • Pages : 704
  • ISBN : 0190273380
  • Language : En, Es, Fr & De
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In recent years there has been a growing interest in cognition within sociology and other social sciences. Within sociology this interest cuts across various topical subfields, including culture, social psychology, religion, race, and identity. Scholars within the new subfield of cognitive sociology, also referred to as the sociology of culture and cognition, are contributing to a rapidly developing body of work on how mental and social phenomena are interrelated and often interdependent. In The Oxford Handbook of Cognitive Sociology, Wayne H. Brekhus and Gabe Igantow have gathered some of the most influential scholars working in cognitive sociology to present an accessible introduction to key research areas in a diverse field. While classical sociological and newer interdisciplinary approaches have been covered separately by scholars in the past, this volume alternatively presents a broad range of cognitive sociological perspectives. The contributors discuss a range of approaches for theorizing and analyzing the "social mind," including macro-cultural approaches, interactionist approaches, and research that draws on Pierre Bourdieu's major concepts. Each chapter further investigates a variety of cognitive processes within these three approaches, such as attention and inattention, perception, automatic and deliberate cognition, cognition and social action, stereotypes, categorization, classification, judgment, symbolic boundaries, meaning-making, metaphor, embodied cognition, morality and religion, identity construction, time sequencing, and memory. A comprehensive look at cognitive sociology's main contributions and the central debates within the field, the Handbook will serve as a primary resource for social researchers, faculty, and students interested in how cognitive sociology can contribute to research within their substantive areas of focus.

The Oxford Handbook of Sound and Imagination

The Oxford Handbook of Sound and Imagination
A Book

by Mark Grimshaw-Aagaard,Mads Walther-Hansen,Martin Knakkergaard

  • Publisher : Oxford Handbooks
  • Release : 2019
  • Pages : 704
  • ISBN : 0190460245
  • Language : En, Es, Fr & De
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Whether social, cultural, or individual, the act of imagination always derives from a pre-existing context. For example, we can conjure an alien's scream from previously heard wildlife recordings or mentally rehearse a piece of music while waiting for a train. This process is no less true for the role of imagination in sonic events and artifacts. Many existing works on sonic imagination tend to discuss musical imagination through terms like compositional creativity or performance technique. In this two-volume Handbook, contributors shift the focus of imagination away from the visual by addressing the topic of sonic imagination and expanding the field beyond musical compositional creativity and performance technique into other aural arenas where the imagination holds similar power. Topics covered include auditory imagery and the neurology of sonic imagination; aural hallucination and illusion; use of metaphor in the recording studio; the projection of acoustic imagination in architectural design; and the design of sound artifacts for cinema and computer games.

Handbook of Mathematics

Handbook of Mathematics
A Book

by I.N. Bronshtein,K.A. Semendyayev,Gerhard Musiol,Heiner Mühlig

  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • Pages : 1158
  • ISBN : 3662053829
  • Language : En, Es, Fr & De
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This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. For the 4th edition, the concept of the book has been completely re-arranged. The new emphasis is on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing.

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Handbook of Topological Fixed Point Theory

Handbook of Topological Fixed Point Theory
A Book

by Robert F. Brown,M. Furi,L. Gorniewicz,Boju Jiang

  • Publisher : Springer Science & Business Media
  • Release : 2005-07-21
  • Pages : 971
  • ISBN : 9781402032219
  • Language : En, Es, Fr & De
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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.