Using Neural Networks in Modeling of Dissipative Systems PDF Download
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Author: Alexandra Aulova
Publisher:
ISBN:
Category :
Languages : en
Pages : 66
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Book Description
Author: Alexandra Aulova
Publisher:
ISBN:
Category :
Languages : en
Pages : 66
Get Book Here
Book Description
Author: Alexandra Aulova
Publisher:
ISBN:
Category :
Languages : en
Pages : 125
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Book Description
Polymeric materials, which are typical representatives of dissipative systems, are entering demanding engineering applications. Therefore, a precise and reliable monitoring of durability and health of polymeric structures is required. Such health monitoring system should be able to detect geometrical changes, as the existing systems do and detect changes in time-dependent mechanical properties caused by the external static and dynamic loading and environmental conditions. The thesis addresses a problem of obtaining segments of relaxation modulus curves from the experimental data, obtained in uniaxial constant strain rate experiments, which represents an inverse problem. The inverse problem was solved with the Multilayer Perceptron and the Radial Basis Function neural networks. In addition, the problem of direct determination of relaxation mechanical spectrum from the same experimental data was addressed. In this case the so-called pre-structured neural networks were applied. The Radial Basis Function networks demonstrated promising generalization and robustness abilities compared to the commonly used "classical" numerical method of exponential fitting. Hence, this approach may be utilized for development of an on-line monitoring systems of polymeric structures exposed to complex mechanical loadings. On the other hand, the proposed pre-structured neural networks approach requires further investigation and improvements.
Author: Xiaoying Han
Publisher: World Scientific
ISBN: 9811267774
Category : Mathematics
Languages : en
Pages : 381
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Book Description
There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is asymptotically compact in some way.There is now a very large literature on lattice dynamical systems, especially on attractors of all kinds in such systems. We cannot hope to do justice to all of them here. Instead, we have focused on key areas of representative types of lattice systems and various types of attractors. Our selection is biased by our own interests, in particular to those dealing with biological applications. One of the important results is the approximation of Heaviside switching functions in LDS by sigmoidal functions.Nevertheless, we believe that this book will provide the reader with a solid introduction to the field, its main results and the methods that are used to obtain them.
Author: Hava T. Siegelmann
Publisher: Springer Science & Business Media
ISBN: 146120707X
Category : Computers
Languages : en
Pages : 193
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Book Description
The theoretical foundations of Neural Networks and Analog Computation conceptualize neural networks as a particular type of computer consisting of multiple assemblies of basic processors interconnected in an intricate structure. Examining these networks under various resource constraints reveals a continuum of computational devices, several of which coincide with well-known classical models. On a mathematical level, the treatment of neural computations enriches the theory of computation but also explicated the computational complexity associated with biological networks, adaptive engineering tools, and related models from the fields of control theory and nonlinear dynamics. The material in this book will be of interest to researchers in a variety of engineering and applied sciences disciplines. In addition, the work may provide the base of a graduate-level seminar in neural networks for computer science students.
Author: Sergey Vakulenko
Publisher: Walter de Gruyter
ISBN: 3110268280
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.
Author: José Mira
Publisher: Springer Science & Business Media
ISBN: 3540402101
Category : Computers
Languages : en
Pages : 781
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Book Description
The two-volume set LNCS 2686 and LNCS 2687 constitute the refereed proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2003, held in Maó, Menorca, Spain in June 2003. The 197 revised papers presented were carefully reviewed and selected for inclusion in the book and address the following topics: mathematical and computational methods in neural modelling, neurophysiological data analysis and modelling, structural and functional models of neurons, learning and other plasticity phenomena, complex systems dynamics, cognitive processes and artificial intelligence, methodologies for net design, bio-inspired systems and engineering, and applications in a broad variety of fields.
Author: Vittorio Capecchi
Publisher: Springer Science & Business Media
ISBN: 9048185815
Category : Social Science
Languages : en
Pages : 616
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Book Description
The book shows a very original organization addressing in a non traditional way, but with a systematic approach, to who has an interest in using mathematics in the social sciences. The book is divided in four parts: (a) a historical part, written by Vittorio Capecchi which helps us understand the changes in the relationship between mathematics and sociology by analyzing the mathematical models of Paul F. Lazarsfeld, the model of simulation and artificial societies, models of artificial neural network and considering all the changes in scientific paradigms considered; (b) a part coordinated by Pier Luigi Contucci on mathematical models that consider the relationship between the mathematical models that come from physics and linguistics to arrive at the study of society and those which are born within sociology and economics; (c) a part coordinated by Massimo Buscema analyzing models of artificial neural networks; (d) a part coordinated by Bruno D’Amore which considers the relationship between mathematics and art. The title of the book "Mathematics and Society" was chosen because the mathematical applications exposed in the book allow you to address two major issues: (a) the general theme of technological innovation and quality of life (among the essays are on display mathematical applications to the problems of combating pollution and crime, applications to mathematical problems of immigration, mathematical applications to the problems of medical diagnosis, etc.) (b) the general theme of technical innovation and creativity, for example the art and mathematics section which connects to the theme of creative cities. The book is very original because it is not addressed only to those who are passionate about mathematical applications in social science but also to those who, in different societies, are: (a) involved in technological innovation to improve the quality of life; (b) involved in the wider distribution of technological innovation in different areas of creativity (as in the project "Creative Cities Network" of UNESCO).
Author: Oleksii Ignatenko
Publisher: Springer Nature
ISBN: 303114841X
Category : Education
Languages : en
Pages : 575
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Book Description
This book contains the workshops papers presented at the 17th International Conference on Information and Communication Technologies in Education, Research, and Industrial Applications, ICTERI 2021, held in Kherson, Ukraine, in September-October 2021. The 33 revised full papers and 4 short papers included in this volume were carefully reviewed and selected from 105 initial submissions. The papers are organized according to the following workshops: 9th International Workshop on Information Technology in Economic Research (ITER 2021); 5th International Workshop on Methods, Resources and Technologies for Open Learning and Research (MROL 2021); International Workshop RMSEBT 2021: Rigorous Methods in Software Engineering and Blockchain Technologies; 7th International Workshop on Theory of Reliability and Markov Modeling for Information Technologies (TheRMIT 2021); 1st Ukrainian Natural Language Processing Workshop (UNLP 2021).
Author: Willi-Hans Steeb
Publisher: World Scientific
ISBN: 9814335770
Category : Science
Languages : en
Pages : 642
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Book Description
The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 150 ready to run programs are included. New topics added to the fifth edition are Langton's ant, chaotic data communication, self-controlling feedback, differential forms and optimization, T-norms and T-conorms with applications.
Author: Pawel Olejnik
Publisher: #N/A
ISBN: 9813225300
Category : Social Science
Languages : en
Pages : 277
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Book Description
This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.
