ALMOST PERIODICITY, CHAOS, AND ASYMPTOTIC EQUIVALENCE.

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ISBN 13 : 9783030199166
Total Pages : pages
Book Rating : 4.1/5 (991 download)

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Book Synopsis ALMOST PERIODICITY, CHAOS, AND ASYMPTOTIC EQUIVALENCE. by : MARAT. AKHMET

Download or read book ALMOST PERIODICITY, CHAOS, AND ASYMPTOTIC EQUIVALENCE. written by MARAT. AKHMET and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Periodicity, Chaos, and Asymptotic Equivalence

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Publisher : Springer
ISBN 13 : 303020572X
Total Pages : 360 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Almost Periodicity, Chaos, and Asymptotic Equivalence by : Marat Akhmet

Download or read book Almost Periodicity, Chaos, and Asymptotic Equivalence written by Marat Akhmet and published by Springer. This book was released on 2019-06-20 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.

Selected Topics in Almost Periodicity

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763524
Total Pages : 734 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.

Bifurcation and Chaos in Fractional-Order Systems

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Publisher : MDPI
ISBN 13 : 3036500928
Total Pages : 108 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Bifurcation and Chaos in Fractional-Order Systems by : Marius-F. Danca

Download or read book Bifurcation and Chaos in Fractional-Order Systems written by Marius-F. Danca and published by MDPI. This book was released on 2021-01-19 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers, graduate students, and technical professionals to study and apply. It is also suitable for teaching lectures and for seminars to use as a reference on related topics.

Smart Applications with Advanced Machine Learning and Human-Centred Problem Design

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Publisher : Springer Nature
ISBN 13 : 303109753X
Total Pages : 801 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Smart Applications with Advanced Machine Learning and Human-Centred Problem Design by : D. Jude Hemanth

Download or read book Smart Applications with Advanced Machine Learning and Human-Centred Problem Design written by D. Jude Hemanth and published by Springer Nature. This book was released on 2023-01-01 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together the most recent, quality research papers accepted and presented in the 3rd International Conference on Artificial Intelligence and Applied Mathematics in Engineering (ICAIAME 2021) held in Antalya, Turkey between 1-3 October 2021. Objective of the content is to provide important and innovative research for developments-improvements within different engineering fields, which are highly interested in using artificial intelligence and applied mathematics. As a collection of the outputs from the ICAIAME 2021, the book is specifically considering research outcomes including advanced use of machine learning and careful problem designs on human-centred aspects. In this context, it aims to provide recent applications for real-world improvements making life easier and more sustainable for especially humans. The book targets the researchers, degree students, and practitioners from both academia and the industry.

Nonlinear Dynamics and Complexity

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Publisher : Springer Nature
ISBN 13 : 3031066324
Total Pages : 496 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Dynamics and Complexity by : Carla M.A. Pinto

Download or read book Nonlinear Dynamics and Complexity written by Carla M.A. Pinto and published by Springer Nature. This book was released on 2022-10-21 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects a range of contributions on nonlinear dynamics and complexity, providing a systematic summary of recent developments, applications, and overall advances in nonlinearity, chaos, and complexity. It presents both theories and techniques in nonlinear systems and complexity and serves as a basis for more research on synchronization and complexity in nonlinear science as well as a mechanism to fast-scatter the new knowledge to scientists, engineers, and students in the corresponding fields. Written by world-renown experts from across the globe, the collection is ideal for researchers, practicing engineers, and students concerned with machinery and controls, manufacturing, and controls.

Monotone Nonautonomous Dynamical Systems

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Publisher : Springer Nature
ISBN 13 : 3031600576
Total Pages : 475 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Monotone Nonautonomous Dynamical Systems by : David N. Cheban

Download or read book Monotone Nonautonomous Dynamical Systems written by David N. Cheban and published by Springer Nature. This book was released on with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Equivalence of Differential Equations and Asymptotically Almost Periodic Solutions

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Asymptotic Equivalence of Differential Equations and Asymptotically Almost Periodic Solutions by : M.U. Akhmet

Download or read book Asymptotic Equivalence of Differential Equations and Asymptotically Almost Periodic Solutions written by M.U. Akhmet and published by . This book was released on 2018 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism between subspaces of almost periodic and asymptotically (biasymptotically) almost periodic solutions is also obtained.

Trends in Data Engineering Methods for Intelligent Systems

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Publisher : Springer Nature
ISBN 13 : 3030793575
Total Pages : 797 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Trends in Data Engineering Methods for Intelligent Systems by : Jude Hemanth

Download or read book Trends in Data Engineering Methods for Intelligent Systems written by Jude Hemanth and published by Springer Nature. This book was released on 2021-07-05 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book briefly covers internationally contributed chapters with artificial intelligence and applied mathematics-oriented background-details. Nowadays, the world is under attack of intelligent systems covering all fields to make them practical and meaningful for humans. In this sense, this edited book provides the most recent research on use of engineering capabilities for developing intelligent systems. The chapters are a collection from the works presented at the 2nd International Conference on Artificial Intelligence and Applied Mathematics in Engineering held within 09-10-11 October 2020 at the Antalya, Manavgat (Turkey). The target audience of the book covers scientists, experts, M.Sc. and Ph.D. students, post-docs, and anyone interested in intelligent systems and their usage in different problem domains. The book is suitable to be used as a reference work in the courses associated with artificial intelligence and applied mathematics.

Differential and Difference Equations with Applications

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Publisher : Springer Nature
ISBN 13 : 3030563235
Total Pages : 754 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Differential and Difference Equations with Applications by : Sandra Pinelas

Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer Nature. This book was released on 2020-10-21 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

Selected Topics in Almost Periodicity

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.

Chaos, Fractals, and Noise

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Publisher : Springer Science & Business Media
ISBN 13 : 146124286X
Total Pages : 481 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.

Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows

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Publisher : American Mathematical Soc.
ISBN 13 : 0821808672
Total Pages : 111 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows by : Wenxian Shen

Download or read book Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows written by Wenxian Shen and published by American Mathematical Soc.. This book was released on 1998 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of almost automorphic dynamics in differential equations. By making use of techniques from abstract topological dynamics, it is shown that almost automorphy, a notion which was introduced by S. Bochner in 1955, is essential and fundamental in the qualitative study of almost periodic differential equations.

Integration of Asymptotically Almost Periodic Functions and Weak Ptotic Almost Periodicity

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis Integration of Asymptotically Almost Periodic Functions and Weak Ptotic Almost Periodicity by : W. M. Ruess

Download or read book Integration of Asymptotically Almost Periodic Functions and Weak Ptotic Almost Periodicity written by W. M. Ruess and published by . This book was released on 1989 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

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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 Statistical Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642695590
Total Pages : 281 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Chaos and Statistical Methods by : Y. Kuramoto

Download or read book Chaos and Statistical Methods written by Y. Kuramoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 6th Kyoto Summer Institute devoted to "Chaos and Statistical Mechanics" was held from September 12 to 15, 1983, at the Research Institute forMathematical Sciences, Kyoto University, and at Hotel Kuniso. The meeting was aimed at clari fying various aspects of chaotic systems appearing in different scientific disci pl ines, critically examining related mathematical methods developed so far, thus preparing for possible breakthroughs, among others, for the opening of a new period of statistical mechanics of deterministic systems. The number of partici pants was 135,of which 24 were from abroad. We believe that the well-prepared lecture of each speaker and lively discussions among many participants from various research fields led the meeting to a successful conclusion. The 6th KSI was organized by the Research Institute for Fundamental Physics. A number of young chaos researchers in Japan also participated actively in the organization. We were also in close contact with the organizer of the IUTAM Sym posium on "Turbulence and Chaotic Phenomena in Fluids" (Kyoto Kaikan Conference Hall, Kyoto, September 5-10 1983). This volume contains most of the lectures presented at the 6th KSI. We are very grateful to all the authors for their efforts in preparing such excellent manuscripts. The 6th KSI was supported by the Ministry of Education, Science and Culture and the Yamada Science Foundation. The organizing committee acknowledges gratefully their generous financial support. Finally, than'ks are due to Dr. M. Toya and Miss T. Sumide for their invaluable assistance.

Chaos Theory Tamed

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Publisher : CRC Press
ISBN 13 : 1482295415
Total Pages : 518 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Chaos Theory Tamed by : Garnett Williams

Download or read book Chaos Theory Tamed written by Garnett Williams and published by CRC Press. This book was released on 1997-09-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.