Almost Periodicity Chaos And Asymptotic Equivalence

Author : Marat Akhmet
Publisher :
ISBN 13 : 9783030206543
Total Pages : 360 pages
Book Rating : 4.48/5 ( download)

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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 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.

Author : Marat Akhmet
Publisher : Springer
ISBN 13 : 303020572X
Total Pages : 360 pages
Book Rating : 4.20/5 ( download)

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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.

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763524
Total Pages : 734 pages
Book Rating : 4.22/5 ( download)

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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.

Author : D. Jude Hemanth
Publisher : Springer Nature
ISBN 13 : 303109753X
Total Pages : 801 pages
Book Rating : 4.39/5 ( download)

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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.

Author : Carla M.A. Pinto
Publisher : Springer Nature
ISBN 13 : 3031066324
Total Pages : 496 pages
Book Rating : 4.20/5 ( download)

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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.

Author : Jude Hemanth
Publisher : Springer Nature
ISBN 13 : 3030793575
Total Pages : 797 pages
Book Rating : 4.79/5 ( download)

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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.

Author : Marius-F. Danca
Publisher : MDPI
ISBN 13 : 3036500928
Total Pages : 108 pages
Book Rating : 4.28/5 ( download)

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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.

Author : Sandra Pinelas
Publisher : Springer Nature
ISBN 13 : 3030563235
Total Pages : 754 pages
Book Rating : 4.33/5 ( download)

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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.

Author : W. M. Ruess
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.87/5 ( download)

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Download or read book Integration of Asymptotically Almost Periodic Functions and Weak Asymptotic Almost Periodicity written by W. M. Ruess and published by . This book was released on 1989 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andrzej Lasota
Publisher : Springer Science & Business Media
ISBN 13 : 146124286X
Total Pages : 481 pages
Book Rating : 4.64/5 ( download)

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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.