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Progress and Challenges in Dynamical Systems

Progress and Challenges in Dynamical Systems
Author: Santiago Ibáñez
Publisher: Springer Science & Business Media
Total Pages: 426
Release: 2013-09-20
Genre: Mathematics
ISBN: 3642388302

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This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincaré held at the University of Oviedo, Gijón in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems. This book covers a broad range of topics, focusing on discrete and continuous dynamical systems, bifurcation theory, celestial mechanics, delay difference and differential equations, Hamiltonian systems and also the classic challenges in planar vector fields. It also details recent advances and new trends in the field, including applications to a wide range of disciplines such as biology, chemistry, physics and economics. The memory of Henri Poincaré, who laid the foundations of the subject, inspired this exploration of dynamical systems. In honor of this remarkable mathematician, theoretical physicist, engineer and philosopher, the authors have made a special effort to place the reader at the frontiers of current knowledge in the discipline.


Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
Author: Elhadj Zeraoulia
Publisher: World Scientific
Total Pages: 268
Release: 2011
Genre: Science
ISBN: 9814340707

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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.


Advances in Dynamical Systems Theory, Models, Algorithms and Applications

Advances in Dynamical Systems Theory, Models, Algorithms and Applications
Author: Bruno Carpentieri
Publisher: BoD – Books on Demand
Total Pages: 132
Release: 2021-07-28
Genre: Mathematics
ISBN: 1839691239

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The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.


Advances in Dynamics, Patterns, Cognition

Advances in Dynamics, Patterns, Cognition
Author: Igor S. Aranson
Publisher: Springer
Total Pages: 336
Release: 2017-05-02
Genre: Technology & Engineering
ISBN: 3319536737

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This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.


Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science
Author: Roderick Melnik
Publisher: Springer
Total Pages: 437
Release: 2017-09-05
Genre: Mathematics
ISBN: 1493969692

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This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.


Unifying Ecology Across Scales: Progress, Challenges and Opportunities

Unifying Ecology Across Scales: Progress, Challenges and Opportunities
Author: Mary I. O’Connor
Publisher: Frontiers Media SA
Total Pages: 254
Release: 2020-12-29
Genre: Science
ISBN: 2889662926

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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.


Advanced Topics in the Theory of Dynamical Systems

Advanced Topics in the Theory of Dynamical Systems
Author: G. Fusco
Publisher: Elsevier
Total Pages: 278
Release: 2016-06-03
Genre: Mathematics
ISBN: 1483217892

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Advanced Topics in the Theory of Dynamical Systems covers the proceedings of the international conference by the same title, held at Villa Madruzzo, Trento, Italy on June 1-6, 1987. The conference reviews research advances in the field of dynamical systems. This book is composed of 20 chapters that explore the theoretical aspects and problems arising from applications of these systems. Considerable chapters are devoted to finite dimensional systems, with special emphasis on the analysis of existence of periodic solutions to Hamiltonian systems. Other chapters deal with infinite dimensional systems and the developments of methods in the general approach to existence and qualitative analysis problems in the general theory, as well as in the study of particular systems concerning natural sciences. The final chapters discuss the properties of hyperbolic sets, equivalent period doubling, Cauchy problems, and quasiperiodic solitons for nonlinear Klein-Gordon equations. This book is of value to mathematicians, physicists, researchers, and advance students.


Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
Author: Elhadj Zeraoulia
Publisher: World Scientific
Total Pages: 268
Release: 2011
Genre: Science
ISBN: 9814340693

Download Frontiers in the Study of Chaotic Dynamical Systems with Open Problems Book in PDF, ePub and Kindle

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.


Progress and Challenges in CFD Methods and Algorithms

Progress and Challenges in CFD Methods and Algorithms
Author: North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development. Fluid Dynamics Panel. Symposium
Publisher:
Total Pages: 492
Release: 1996
Genre: Aerodynamics
ISBN:

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Dynamical Systems

Dynamical Systems
Author: Albert C. J. Luo
Publisher: Springer Science & Business Media
Total Pages: 458
Release: 2010-07-17
Genre: Technology & Engineering
ISBN: 1441957545

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Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.