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تعداد نتایج: 496

Complex and Chaotic Nonlinear Dynamics

Advances in Economics and Finance, Mathematics and Statistic...

By Thierry Vialar
Publisher: Springer Science & Business Media, 2009-04-26
Pages: 752
Language: en
ISBN_13:9783540859789
ISBN_10:3540859780
Subject: Business & Economics

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

$In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.$

جزئیات و درخواست

By Christos Volos, Sajad Jafari, Jacques Kengne, Jesus M. Munoz-Pacheco, Karthikeyan Rajagopal
Publisher: MDPI, 2019-05-03
Pages: 290
Language: en
ISBN_13:9783038978985
ISBN_10:3038978981
Subject: Technology & Engineering

Chaos and Complexity Theory for Management: Nonlinear Dynamics

Nonlinear Dynamics

جزئیات و درخواست

By Banerjee, Santo
Publisher: IGI Global, 2012-11-30
Pages: 449
Language: en
ISBN_13:9781466625105
ISBN_10:1466625104
Subject: Business & Economics

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

$In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.$

جزئیات و درخواست

By Jan Awrejcewicz, Rajasekar Shanmuganathan, Minvydas Ragulskis
Publisher: World Scientific, 2021-07-26
Pages: 561
Language: en
ISBN_13:9789811221910
ISBN_10:981122191X
Subject: Science

Nonlinear Dynamics, Chaos, and Complexity

In Memory of Professor Valentin Afraimovich

جزئیات و درخواست

By Dimitri Volchenkov
Publisher: Springer Nature, 2020-12-14
Pages: 204
Language: en
ISBN_13:9789811590344
ISBN_10:9811590346
Subject: Mathematics

Applications of Nonlinear Dynamics

Model and Design of Complex Systems

جزئیات و درخواست

By Visarath In, Patrick Longhini, Antonio Palacios
Publisher: Springer Science & Business Media, 2009-02-11
Pages: 464
Language: en
ISBN_13:9783540856320
ISBN_10:3540856323
Subject: Technology & Engineering

Complex Motions and Chaos in Nonlinear Systems

جزئیات و درخواست

By Valentin Afraimovich, José António Tenreiro Machado, Jiazhong Zhang
Publisher: Springer, 2016-04-22
Pages: 278
Language: en
ISBN_13:9783319287645
ISBN_10:3319287648
Subject: Technology & Engineering

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2

جزئیات و درخواست

By Santo Banerjee, Lamberto Rondoni, Mala Mitra
Publisher: Springer, 2012-07-17
Pages: 270
Language: en
ISBN_13:9783642293290
ISBN_10:3642293298
Subject: Technology & Engineering

Nonlinear Dynamics and Chaos

Where do we go from here?

جزئیات و درخواست

By J Hogan, A.R Krauskopf, Mario di Bernado, R. Eddie Wilson, Hinke. M Osinga
Publisher: CRC Press, 2002-08-01
Pages: 370
Language: en
ISBN_13:9781420033830
ISBN_10:1420033832
Subject: Mathematics

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3

$Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.$

جزئیات و درخواست

By Santo Banerjee, Lamberto Rondoni
Publisher: Springer, 2013-06-12
Pages: 297
Language: en
ISBN_13:9783642340178
ISBN_10:3642340172
Subject: Science

Complex Nonlinearity

Chaos, Phase Transitions, Topology Change and Path Integrals

$Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.$

جزئیات و درخواست

By Vladimir G. Ivancevic, Tijana T. Ivancevic
Publisher: Springer Science & Business Media, 2008-05-31
Pages: 855
Language: en
ISBN_13:9783540793571
ISBN_10:3540793577
Subject: Science

Chaos and Nonlinear Dynamics

An Introduction for Scientists and Engineers

جزئیات و درخواست

By Robert C. Hilborn
2000
Pages: 676
Language: en
ISBN_10:0198507232
ISBN_13:9780198507239
Subject: Mathematics

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

جزئیات و درخواست

By Santo Banerjee, Lamberto Rondoni
Publisher: Springer, 2015-05-04
Pages: 308
Language: en
ISBN_13:9783319170374
ISBN_10:3319170376
Subject: Science

New Perspectives on Nonlinear Dynamics and Complexity

جزئیات و درخواست

By Dimitri Volchenkov, Albert C. J. Luo
Publisher: Springer Nature, 2022-07-29
Pages: 198
Language: en
ISBN_13:9783030973285
ISBN_10:303097328X
Subject: Technology & Engineering

Nonlinear Dynamics, Chaotic and Complex Systems

Proceedings of an International Conference Held in Zakopane,...

جزئیات و درخواست

By Eryk Infeld, R. Zelazny, A. Galkowski
Publisher: Cambridge University Press, 1997-06-19
Pages: 358
Language: en
ISBN_10:0521582016
ISBN_13:9780521582018
Subject: Mathematics

Instabilities, Chaos and Turbulence

جزئیات و درخواست

By Paul Manneville
Publisher: World Scientific, 2010
Pages: 456
Language: en
ISBN_13:9781848163928
ISBN_10:1848163924
Subject: Science

Chaos, Complexity and Leadership 2020

Application of Nonlinear Dynamics from Interdisciplinary Per...

جزئیات و درخواست

By Şefika Şule Erçetin, Şuay Nilhan Açıkalın, Emir Vajzović
Publisher: Springer Nature, 2021-07-30
Pages: 317
Language: en
ISBN_13:9783030740573
ISBN_10:3030740579
Subject: Science

Nonlinear Dynamics and Chaotic Phenomena

An Introduction

$FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others.$

جزئیات و درخواست

By B.K Shivamoggi
Publisher: Springer Science & Business Media, 2013-03-09
Pages: 415
Language: en
ISBN_13:9789401724425
ISBN_10:9401724423
Subject: Science

Nonlinear Dynamics and Complexity

جزئیات و درخواست

By Valentin Afraimovich, Albert C. J. Luo, Xilin Fu
Publisher: Springer Science & Business Media, 2013-11-22
Pages: 297
Language: en
ISBN_13:9783319023533
ISBN_10:3319023535
Subject: Technology & Engineering

Chaos and Complex Systems

Proceedings of the 4th International Interdisciplinary Chaos...

جزئیات و درخواست

By Stavros G. Stavrinides, Santo Banerjee, Suleyman Hikmet Caglar, Mehmet Ozer
Publisher: Springer Science & Business Media, 2013-03-19
Pages: 559
Language: en
ISBN_13:9783642339141
ISBN_10:364233914X
Subject: Science

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