Download or read book Lagrange Functions Associated to Some Dynamical Systems written by Monica Ciobanu and published by . This book was released on 2001 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book From PDE Systems and Metric to Geometric Multi time Field Theories written by Mircea Neagu and published by . This book was released on 2001 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Libertas Mathematica written by and published by . This book was released on 2002 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

Download or read book Recurrences and Discrete Dynamic Systems written by Igor Gumowski and published by Springer. This book was released on 2006-11-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Identification of Dynamic Systems written by Rolf Isermann and published by Springer. This book was released on 2011-04-08 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Precise dynamic models of processes are required for many applications, ranging from control engineering to the natural sciences and economics. Frequently, such precise models cannot be derived using theoretical considerations alone. Therefore, they must be determined experimentally. This book treats the determination of dynamic models based on measurements taken at the process, which is known as system identification or process identification. Both offline and online methods are presented, i.e. methods that post-process the measured data as well as methods that provide models during the measurement. The book is theory-oriented and application-oriented and most methods covered have been used successfully in practical applications for many different processes. Illustrative examples in this book with real measured data range from hydraulic and electric actuators up to combustion engines. Real experimental data is also provided on the Springer webpage, allowing readers to gather their first experience with the methods presented in this book. Among others, the book covers the following subjects: determination of the non-parametric frequency response, (fast) Fourier transform, correlation analysis, parameter estimation with a focus on the method of Least Squares and modifications, identification of time-variant processes, identification in closed-loop, identification of continuous time processes, and subspace methods. Some methods for nonlinear system identification are also considered, such as the Extended Kalman filter and neural networks. The different methods are compared by using a real three-mass oscillator process, a model of a drive train. For many identification methods, hints for the practical implementation and application are provided. The book is intended to meet the needs of students and practicing engineers working in research and development, design and manufacturing.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic systems theory and embodiment in psychotherapy research A new look at process and outcome written by Sergio Salvatore and published by Frontiers Media SA. This book was released on 2016-04-11 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an attempt to cease from reducing the world and its (emergent) phenomena to linear modeling and analytic dissection, Dynamic Systems Theories (DST) and Embodiment theories and methods aim at accounting for the complex, dynamic, and non-linear phenomena that we constantly deal with in psychology. For instance, DST and Embodiment can enrich psychology’s understanding of the communicative process both in clinical and non-clinical settings. In psychotherapy, an important amount of research has shown that – next to other ingredients – the therapeutic relationship is the most important active factor contributing to psychotherapy outcome. These findings give communication a central role in the psychotherapy process. In the traditional view, the underlying model of understanding psychotherapy processes is that of a number of components summatively coming together enabling us to make a linear causal prediction. Yet, communication is inherently dynamic. A shift to viewing the communication process in psychotherapy as a field dynamic phenomenon helps us to take into account nonlinear phenomena, such as feedback processes within and between persons. We thus propose an embodied enactive dynamic systems view as a new theoretical and methodological perspective that can more realistically capture what happens among and between two persons in psychotherapy. This view reaches beyond the current narrow model of psychotherapy research. DST and Embodied Enactive Approaches can offer solutions to the loss of non-linear phenomena, the complex dynamics of reality, and the holistic level of analysis. DST and Embodied Enactive Approaches have developed not in a single discipline but in a joined movement based on various fields such as physics, biology, robotics, anthropology, philosophy, linguistics, neuroscience, and psychology, and have only recently entered clinical theorizing. The two new paradigms have already triggered a rethinking of the therapeutic exchange by recognizing the embodied nature of psychological and communicative phenomena. Their integration opens up a promising scenario in the field of psychotherapy research, developing new, profoundly transdisciplinary, theoretical concepts, methodologies, and standards of knowledge. The notion of field dynamics enables us to account for the role of the communicational context in the regulation of intra-psychological processes, while at the same time avoiding the pitfalls of an ontologization of the hierarchy of systemic organization. Moreover, the new approach implements methodological strategies that can transcend the conventional opposition between idiographic and nomothetic sciences.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Uncertainty Quantification In Computational Science Theory And Application In Fluids And Structural Mechanics written by Sunetra Sarkar and published by World Scientific. This book was released on 2016-08-18 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade, research in Uncertainty Quantification (UC) has received a tremendous boost, in fluid engineering and coupled structural-fluids systems. New algorithms and adaptive variants have also emerged.This timely compendium overviews in detail the current state of the art of the field, including advances in structural engineering, along with the recent focus on fluids and coupled systems. Such a strong compilation of these vibrant research areas will certainly be an inspirational reference material for the scientific community.

Download or read book Control and Dynamic Systems V37 Advances in Industrial Systems written by C.T. Leonides and published by Academic Press. This book was released on 2012-12-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems, Volume 37: Advances in Industrial Systems provides an overview of the state of knowledge in industrial systems. This volume contains nine chapters and begins with a paper on the objective measures used to characterize the performance of computers which control critical processes. This is followed by separate chapters on the design of automotive power train control systems; control techniques in the pulp and paper industry; developments production scheduling research and practice; a general model-based failure detection and diagnosis methodology; and the application of model-predictive control techniques to problems with several input and output variables. Subsequent chapters deal with techniques for dealing with the problem of providing a complete, coherent, and reliable data base from a collection of switch and breaker status data and measurements; systematic approaches to modifying a finite element model; and optimization techniques in industrial chemical systems. The contributions in this volume will provide a unique and significant reference source for practicing professionals as well as those involved with advancing the state of the art.

Download or read book Statistical Parametric Mapping The Analysis of Functional Brain Images written by William D. Penny and published by Elsevier. This book was released on 2011-04-28 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an age where the amount of data collected from brain imaging is increasing constantly, it is of critical importance to analyse those data within an accepted framework to ensure proper integration and comparison of the information collected. This book describes the ideas and procedures that underlie the analysis of signals produced by the brain. The aim is to understand how the brain works, in terms of its functional architecture and dynamics. This book provides the background and methodology for the analysis of all types of brain imaging data, from functional magnetic resonance imaging to magnetoencephalography. Critically, Statistical Parametric Mapping provides a widely accepted conceptual framework which allows treatment of all these different modalities. This rests on an understanding of the brain's functional anatomy and the way that measured signals are caused experimentally. The book takes the reader from the basic concepts underlying the analysis of neuroimaging data to cutting edge approaches that would be difficult to find in any other source. Critically, the material is presented in an incremental way so that the reader can understand the precedents for each new development. This book will be particularly useful to neuroscientists engaged in any form of brain mapping; who have to contend with the real-world problems of data analysis and understanding the techniques they are using. It is primarily a scientific treatment and a didactic introduction to the analysis of brain imaging data. It can be used as both a textbook for students and scientists starting to use the techniques, as well as a reference for practicing neuroscientists. The book also serves as a companion to the software packages that have been developed for brain imaging data analysis. - An essential reference and companion for users of the SPM software - Provides a complete description of the concepts and procedures entailed by the analysis of brain images - Offers full didactic treatment of the basic mathematics behind the analysis of brain imaging data - Stands as a compendium of all the advances in neuroimaging data analysis over the past decade - Adopts an easy to understand and incremental approach that takes the reader from basic statistics to state of the art approaches such as Variational Bayes - Structured treatment of data analysis issues that links different modalities and models - Includes a series of appendices and tutorial-style chapters that makes even the most sophisticated approaches accessible

Download or read book Power System Coherency and Model Reduction written by Joe H. Chow and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Power System Coherency and Model Reduction" provides a comprehensive treatment for understanding interarea modes in large power systems and obtaining reduced-order models using the coherency concept and selective modal analysis method. Both linear and nonlinear analysis methods are covered. This is a reference book for researchers interested in interarea oscillations and model reduction, and power engineers in developing reduced models for power system studies and control design.

Download or read book Foundations of Dynamic Economic Analysis written by Michael R. Caputo and published by Cambridge University Press. This book was released on 2005-01-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.

Download or read book Simulation of Dynamic Systems with MATLAB and Simulink written by Harold Klee and published by CRC Press. This book was released on 2018-02-02 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous-system simulation is an increasingly important tool for optimizing the performance of real-world systems. The book presents an integrated treatment of continuous simulation with all the background and essential prerequisites in one setting. It features updated chapters and two new sections on Black Swan and the Stochastic Information Packet (SIP) and Stochastic Library Units with Relationships Preserved (SLURP) Standard. The new edition includes basic concepts, mathematical tools, and the common principles of various simulation models for different phenomena, as well as an abundance of case studies, real-world examples, homework problems, and equations to develop a practical understanding of concepts.

Download or read book Numerical Data Fitting in Dynamical Systems written by Klaus Schittkowski and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain the behaviour of systems, or to optimize design and production. As soon as a mathematical model contains differential dependencies from an additional parameter, typically the time, we call it a dynamical model. There are two key questions always arising in a practical environment: 1 Is the mathematical model correct? 2 How can I quantify model parameters that cannot be measured directly? In principle, both questions are easily answered as soon as some experimental data are available. The idea is to compare measured data with predicted model function values and to minimize the differences over the whole parameter space. We have to reject a model if we are unable to find a reasonably accurate fit. To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.

Download or read book Integrated Formal Methods written by Wolfgang Grieskamp and published by Springer Science & Business Media. This book was released on 2000-10-18 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Integrated Formal Methods, IFM 2000, held in Dagstuhl, Germany in November 2000. The 22 revised full papers presented together with the abstracts of two invited talks were carefully reviewed and selected from 58 submissions. The papers are grouped together in topical sections on linking and extending notations, methodology, foundation of one formalism by another, semantics, and verification and validation.