Strange Nonchaotic Attractors Dynamics Between Order And Chaos In Quasiperiodically Forced Systems

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Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems

Author : Arkady S Pikovsky
Publisher : World Scientific
ISBN 13 : 9814478768
Total Pages : 226 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems by : Arkady S Pikovsky

Download or read book Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems written by Arkady S Pikovsky and published by World Scientific. This book was released on 2006-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.

Deterministic Nonlinear Systems

Author : Vadim S. Anishchenko
Publisher : Springer
ISBN 13 : 3319068717
Total Pages : 300 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Deterministic Nonlinear Systems by : Vadim S. Anishchenko

Download or read book Deterministic Nonlinear Systems written by Vadim S. Anishchenko and published by Springer. This book was released on 2014-06-16 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Thermoacoustic Instability

Author : R. I. Sujith
Publisher : Springer Nature
ISBN 13 : 3030811352
Total Pages : 484 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Thermoacoustic Instability by : R. I. Sujith

Download or read book Thermoacoustic Instability written by R. I. Sujith and published by Springer Nature. This book was released on 2021-12-14 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically presents the consolidated findings of the phenomenon of self-organization observed during the onset of thermoacoustic instability using approaches from dynamical systems and complex systems theory. Over the last decade, several complex dynamical states beyond limit cycle oscillations such as quasiperiodicity, frequency-locking, period-n, chaos, strange non-chaos, and intermittency have been discovered in thermoacoustic systems operated in laminar and turbulent flow regimes. During the onset of thermoacoustic instability in turbulent systems, an ordered acoustic field and large coherent vortices emerge from the background of turbulent combustion. This emergence of order from disorder in both temporal and spatiotemporal dynamics is explored in the contexts of synchronization, pattern formation, collective interaction, multifractality, and complex networks. For the past six decades, the spontaneous emergence of large amplitude, self-sustained, tonal oscillations in confined combustion systems, characterized as thermoacoustic instability, has remained one of the most challenging areas of research. The presence of such instabilities continues to hinder the development and deployment of high-performance combustion systems used in power generation and propulsion applications. Even with the advent of sophisticated measurement techniques to aid experimental investigations and vast improvements in computational power necessary to capture flow physics in high fidelity simulations, conventional reductionist approaches have not succeeded in explaining the plethora of dynamical behaviors and the associated complexities that arise in practical combustion systems. As a result, models and theories based on such approaches are limited in their application to mitigate or evade thermoacoustic instabilities, which continue to be among the biggest concerns for engine manufacturers today. This book helps to overcome these limitations by providing appropriate methodologies to deal with nonlinear thermoacoustic oscillations, and by developing control strategies that can mitigate and forewarn thermoacoustic instabilities. The book is also beneficial to scientists and engineers studying the occurrence of several other instabilities, such as flow-induced vibrations, compressor surge, aeroacoustics and aeroelastic instabilities in diverse fluid-mechanical environments, to graduate students who intend to apply dynamical systems and complex systems approach to their areas of research, and to physicists who look for experimental applications of their theoretical findings on nonlinear and complex systems.

Chaos, CNN, Memristors and Beyond

Author : Andrew Adamatzky
Publisher : World Scientific
ISBN 13 : 9814434809
Total Pages : 562 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaos, CNN, Memristors and Beyond by : Andrew Adamatzky

Download or read book Chaos, CNN, Memristors and Beyond written by Andrew Adamatzky and published by World Scientific. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first OCo cellular nonlinear networks, nonlinear circuits and cellular automata OCo deals with Chua''s Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua''s circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua''s views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into OCyancient memristorsOCO, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book.The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua''s circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike."

Mathematical Paradigms of Climate Science

Author : Fabio Ancona
Publisher : Springer
ISBN 13 : 3319390929
Total Pages : 230 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical Paradigms of Climate Science by : Fabio Ancona

Download or read book Mathematical Paradigms of Climate Science written by Fabio Ancona and published by Springer. This book was released on 2016-11-07 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.

Lyapunov Exponents

Author : Arkady Pikovsky
Publisher : Cambridge University Press
ISBN 13 : 1316467708
Total Pages : 415 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Lyapunov Exponents by : Arkady Pikovsky

Download or read book Lyapunov Exponents written by Arkady Pikovsky and published by Cambridge University Press. This book was released on 2016-02-11 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed, while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization, weak and global chaos in low and high-dimensional set-ups, and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems, making it ideal for both graduate students and experienced researchers.

50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972)

Author : Bo-Wen Shen
Publisher : MDPI AG
ISBN 13 : 3036589104
Total Pages : 338 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972) by : Bo-Wen Shen

Download or read book 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972) written by Bo-Wen Shen and published by MDPI AG. This book was released on 2023-10-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrate the 50th anniversary of the metaphorical butterfly effect, born from Edward Lorenz's 1963 work on initial condition sensitivity. In 1972, it became a metaphor for illustrating how minor changes could yield an organized system. Lorenz Models: Chaos & Regime Changes Explore Lorenz models' 1960-2008 evolution, chaos theory, and attractors. Unraveling High-dimensional Instability Challenge norms in "Butterfly Effect without Chaos?" as non-chaotic elements contribute uniquely. Modeling Atmospheric Dynamics Delve into atmospheric dynamics via "Storm Sensitivity Study." Navigating Data Assimilation Explore data assimilation's dance in chaotic and nonchaotic settings via the observability Gramian. Chaos, Instability, Sensitivities Explore chaos, instability, and sensitivities with Lorenz 1963 & 1969 models. Unraveling Tropical Mysteries Investigate tropical atmospheric instability, uncovering oscillation origins and cloud-radiation interactions. Chaos and Order Enter atmospheric regimes, exploring attractor coexistence and predictability. The Art of Prediction Peer into predictability realms, tracing the "butterfly effect's" impact on predictions. Navigating Typhoons Journey through typhoons, exploring rainfall and typhoon trajectory prediction. Analyzing Sea Surface Temperature Examine nonlinear analysis for classification. Computational Fluid Dynamics Immerse in geophysical fluid dynamics progress, simulating atmospheric phenomena.

Data-Centric Business and Applications

Author : Dmytro Ageyev
Publisher : Springer Nature
ISBN 13 : 3030718921
Total Pages : 452 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Data-Centric Business and Applications by : Dmytro Ageyev

Download or read book Data-Centric Business and Applications written by Dmytro Ageyev and published by Springer Nature. This book was released on 2021-06-04 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, building on the authors’ previous work, presents new communication and networking technologies, challenges and opportunities of information/data processing and transmission. It also discusses the development of more intelligent and efficient communication technologies, which are an essential part of current day-to-day life. Information and Communication Technologies (ICTs) have an enormous impact on businesses and our day-to-day lives over the past three decades and continue to do so. Modern methods of business information processing are opening exciting new opportunities for doing business on the basis of information technologies. The book contains research that spans a wide range of communication and networking technologies, including wireless sensor networks, optical and telecommunication networks, storage area networks, error-free transmission and signal processing.

Handbook of Research on Global Information Technology Management in the Digital Economy

Author : Raisinghani, Mahesh S.
Publisher : IGI Global
ISBN 13 : 1599048760
Total Pages : 588 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Handbook of Research on Global Information Technology Management in the Digital Economy by : Raisinghani, Mahesh S.

Download or read book Handbook of Research on Global Information Technology Management in the Digital Economy written by Raisinghani, Mahesh S. and published by IGI Global. This book was released on 2008-01-31 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes the most important issues, concepts, trends and technologies in the field of global information technology management, covering topics such as the technical platform for global IS applications, information systems projects spanning cultures, managing information technology in corporations, and global information technology systems and socioeconomic development in developing countries.

Chaos

Author : Angelo Vulpiani
Publisher : World Scientific
ISBN 13 : 9814277665
Total Pages : 482 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Chaos by : Angelo Vulpiani

Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.

Strategic Information Systems: Concepts, Methodologies, Tools, and Applications

Author : Hunter, M. Gordon
Publisher : IGI Global
ISBN 13 : 1605666785
Total Pages : 2750 pages
Book Rating : 4.6/5 (56 download)

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Book Synopsis Strategic Information Systems: Concepts, Methodologies, Tools, and Applications by : Hunter, M. Gordon

Download or read book Strategic Information Systems: Concepts, Methodologies, Tools, and Applications written by Hunter, M. Gordon and published by IGI Global. This book was released on 2009-08-31 with total page 2750 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This 4-volume set provides a compendium of comprehensive advanced research articles written by an international collaboration of experts involved with the strategic use of information systems"--Provided by publisher.

Nonlinear Dynamics of Chaotic and Stochastic Systems

Author : Vadim S. Anishchenko
Publisher : Springer Science & Business Media
ISBN 13 : 9783540424192
Total Pages : 396 pages
Book Rating : 4.4/5 (241 download)

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Book Synopsis Nonlinear Dynamics of Chaotic and Stochastic Systems by : Vadim S. Anishchenko

Download or read book Nonlinear Dynamics of Chaotic and Stochastic Systems written by Vadim S. Anishchenko and published by Springer Science & Business Media. This book was released on 2003-01-22 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.

Physical Review

Author :
Publisher :
ISBN 13 :
Total Pages : 1360 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Physical Review by :

Download or read book Physical Review written by and published by . This book was released on 2000-12 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1989 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Chaos And Nonlinear Mechanics: Proceedings Of Euromech Colloquium 308 "Chaos And Noise In Dynamical Systems"

Download Chaos And Nonlinear Mechanics: Proceedings Of Euromech Colloquium 308

Author : Kapitaniak Tomasz
Publisher : World Scientific
ISBN 13 : 9814550213
Total Pages : 320 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Chaos And Nonlinear Mechanics: Proceedings Of Euromech Colloquium 308 "Chaos And Noise In Dynamical Systems" by : Kapitaniak Tomasz

Download or read book Chaos And Nonlinear Mechanics: Proceedings Of Euromech Colloquium 308 "Chaos And Noise In Dynamical Systems" written by Kapitaniak Tomasz and published by World Scientific. This book was released on 1994-10-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at Euromech Colloquium 308 — Chaos and Noise in Dynamical Systems.Roughly speaking, a chaotic solution to an ordinary differential equation is aperiodic and “looks like” a stochastic process. On the other hand, the theory of probability and stochastic processes was developed to describe complicated irregular phenomena taking place in the real world, which in most cases are chaotic. This observation led to the idea of bringing together experts on both nonlinear chaotic and stochastic systems for the conference. Equal attention was given to recent theoretical results and practical applications.The revised and updated papers in this volume are grouped in the following sections: Theory of Chaotic Systems; Stochastic Systems; Spatiotemporal Systems and Fluid Dynamics; Numerical Tools; and Practical Applications. Each section starts with a short introduction and a brief summary of the presented papers.