Extremes And Recurrence In Dynamical Systems

Author : Valerio Lucarini,Davide Faranda,Ana Cristina Gomes Monteiro Moreira de Freitas,Jorge Miguel Milhazes de Freitas,Mark Holland,Tobias Kuna,Matthew Nicol,Mike Todd,Sandro Vaienti
Publisher : John Wiley & Sons
Page : 325 pages
File Size : 41,8 Mb
Release : 2016-04-25
Category : Mathematics
ISBN : 9781118632192

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Extremes and Recurrence in Dynamical Systems by Valerio Lucarini,Davide Faranda,Ana Cristina Gomes Monteiro Moreira de Freitas,Jorge Miguel Milhazes de Freitas,Mark Holland,Tobias Kuna,Matthew Nicol,Mike Todd,Sandro Vaienti Pdf

Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences. Featuring an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics, probability theory, measure theory, dynamical systems, statistical inference, geophysics, and software application. Emphasizing the statistical mechanical point of view, the book introduces robust theoretical embedding for the application of extreme value theory in dynamical systems. Extremes and Recurrence in Dynamical Systems also features: • A careful examination of how a dynamical system can serve as a generator of stochastic processes • Discussions on the applications of statistical inference in the theoretical and heuristic use of extremes • Several examples of analysis of extremes in a physical and geophysical context • A final summary of the main results presented along with a guide to future research projects • An appendix with software in Matlab® programming language to help readers to develop further understanding of the presented concepts Extremes and Recurrence in Dynamical Systems is ideal for academics and practitioners in pure and applied mathematics, probability theory, statistics, chaos, theoretical and applied dynamical systems, statistical mechanics, geophysical fluid dynamics, geosciences and complexity science. VALERIO LUCARINI, PhD, is Professor of Theoretical Meteorology at the University of Hamburg, Germany and Professor of Statistical Mechanics at the University of Reading, UK. DAVIDE FARANDA, PhD, is Researcher at the Laboratoire des science du climat et de l’environnement, IPSL, CEA Saclay, Université Paris-Saclay, Gif-sur-Yvette, France. ANA CRISTINA GOMES MONTEIRO MOREIRA DE FREITAS, PhD, is Assistant Professor in the Faculty of Economics at the University of Porto, Portugal. JORGE MIGUEL MILHAZES DE FREITAS, PhD, is Assistant Professor in the Department of Mathematics of the Faculty of Sciences at the University of Porto, Portugal. MARK HOLLAND, PhD, is Senior Lecturer in Applied Mathematics in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter, UK. TOBIAS KUNA, PhD, is Associate Professor in the Department of Mathematics and Statistics at the University of Reading, UK. MATTHEW NICOL, PhD, is Professor of Mathematics at the University of Houston, USA. MIKE TODD, PhD, is Lecturer in the School of Mathematics and Statistics at the University of St. Andrews, Scotland. SANDRO VAIENTI, PhD, is Professor of Mathematics at the University of Toulon and Researcher at the Centre de Physique Théorique, France.

Author : Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska
Publisher : Springer Nature
Page : 324 pages
File Size : 53,6 Mb
Release : 2022-12-13
Category : Mathematics
ISBN : 9783031189883

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Stochastic Transport in Upper Ocean Dynamics by Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska Pdf

This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Author : Mark Pollicott,Sandro Vaienti
Publisher : Springer Nature
Page : 536 pages
File Size : 51,6 Mb
Release : 2021-10-01
Category : Mathematics
ISBN : 9783030748630

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Thermodynamic Formalism by Mark Pollicott,Sandro Vaienti Pdf

This volume arose from a semester at CIRM-Luminy on “Thermodynamic Formalism: Applications to Probability, Geometry and Fractals” which brought together leading experts in the area to discuss topical problems and recent progress. It includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry. This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.

Author : Oliver Junge,Oliver Schütze,Gary Froyland,Sina Ober-Blöbaum,Kathrin Padberg-Gehle
Publisher : Springer Nature
Page : 402 pages
File Size : 44,6 Mb
Release : 2020-07-20
Category : Technology & Engineering
ISBN : 9783030512644

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Advances in Dynamics, Optimization and Computation by Oliver Junge,Oliver Schütze,Gary Froyland,Sina Ober-Blöbaum,Kathrin Padberg-Gehle Pdf

This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814476942

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Foundations of Complex Systems by Anonim Pdf

Author : Christos H. Skiadas,Charilaos Skiadas
Publisher : CRC Press
Page : 934 pages
File Size : 44,9 Mb
Release : 2017-12-19
Category : Mathematics
ISBN : 9781466590441

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Handbook of Applications of Chaos Theory by Christos H. Skiadas,Charilaos Skiadas Pdf

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.

Author : Clark Robinson
Publisher : CRC Press
Page : 522 pages
File Size : 40,6 Mb
Release : 1998-11-17
Category : Mathematics
ISBN : 9781482227871

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Dynamical Systems by Clark Robinson Pdf

Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through examples and at a level accessible to a beginning graduate student

Author : Alwyn Scott
Publisher : Routledge
Page : 1107 pages
File Size : 45,5 Mb
Release : 2006-05-17
Category : Reference
ISBN : 9781135455583

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Encyclopedia of Nonlinear Science by Alwyn Scott Pdf

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Author : Sergio Albeverio,Volker Jentsch,Holger Kantz
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 42,9 Mb
Release : 2006-02-18
Category : Science
ISBN : 9783540286110

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Extreme Events in Nature and Society by Sergio Albeverio,Volker Jentsch,Holger Kantz Pdf

Significant, and usually unwelcome, surprises, such as floods, financial crisis, epileptic seizures, or material rupture, are the topics of Extreme Events in Nature and Society. The book, authored by foremost experts in these fields, reveals unifying and distinguishing features of extreme events, including problems of understanding and modelling their origin, spatial and temporal extension, and potential impact. The chapters converge towards the difficult problem of anticipation: forecasting the event and proposing measures to moderate or prevent it. Extreme Events in Nature and Society will interest not only specialists, but also the general reader eager to learn how the multifaceted field of extreme events can be viewed as a coherent whole.

Author : A. S. Wightman
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 42,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781468412215

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Regular and Chaotic Motions in Dynamic Systems by A. S. Wightman Pdf

The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to'Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution.

Author : Charles K. Chui,Eric Chung,Jianfeng Cai,Raluca Eftimie,Hong-Kun Xu,Daniel Potts,Young Shin Aaron Kim,Axel Hutt
Publisher : Frontiers Media SA
Page : 232 pages
File Size : 51,5 Mb
Release : 2023-04-06
Category : Science
ISBN : 9782832520062

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2022 Applied Mathematics and Statistics – Editor’s Pick by Charles K. Chui,Eric Chung,Jianfeng Cai,Raluca Eftimie,Hong-Kun Xu,Daniel Potts,Young Shin Aaron Kim,Axel Hutt Pdf

Author : Henk Broer,Floris Takens
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 52,6 Mb
Release : 2010-10-20
Category : Mathematics
ISBN : 9781441968708

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Dynamical Systems and Chaos by Henk Broer,Floris Takens Pdf

Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.

Author : Mark Iosifovich Freĭdlin,Alexander D. Wentzell
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 48,5 Mb
Release : 1998
Category : Perturbation (Mathematics)
ISBN : 9780387983622

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Random Perturbations of Dynamical Systems by Mark Iosifovich Freĭdlin,Alexander D. Wentzell Pdf

The authors' main tools are the large deviation theory the centred limit theorem for stochastic processes, and the averaging principle - all presented in great detail. The results allow for explicit calculations of the asymptotics of many interesting characteristics of the perturbed system.

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 40,9 Mb
Release : 2013-07-12
Category : Mathematics
ISBN : 9781461415237

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Regularity and Complexity in Dynamical Systems by Albert C. J. Luo Pdf

Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Author : Zeraoulia Elhadj
Publisher : CRC Press
Page : 400 pages
File Size : 55,7 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9780429650062

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Dynamical Systems by Zeraoulia Elhadj Pdf

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.