Download or read book Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields written by John Guckenheimer and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bibliography of Technical Reports written by and published by . This book was released on 1953 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Nonlinear Mechanics in China written by Wenhu Huang and published by CRC Press. This book was released on 2002-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles.
Download or read book Bulletin Series written by and published by . This book was released on 1952 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Neural Nets And Chaotic Carriers 2nd Edition written by Peter Whittle and published by World Scientific. This book was released on 2010-07-29 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural Nets and Chaotic Carriers develops rational principles for the design of associative memories, with a view to applying these principles to models with irregularly oscillatory operation so evident in biological neural systems, and necessitated by the meaninglessness of absolute signal levels.Design is based on the criterion that an associative memory must be able to cope with “fading data”, i.e., to form an inference from the data even as its memory of that data degrades. The resultant net shows striking biological parallels. When these principles are combined with the Freeman specification of a neural oscillator, some remarkable effects emerge. For example, the commonly-observed phenomenon of neuronal bursting appears, with gamma-range oscillation modulated by a low-frequency square-wave oscillation (the “escapement oscillation”). Bridging studies and new results of artificial and biological neural networks, the book has a strong research character. It is, on the other hand, accessible to non-specialists for its concise exposition on the basics./a
Download or read book Extracting Knowledge From Time Series written by Boris P. Bezruchko and published by Springer Science & Business Media. This book was released on 2010-09-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-06-29 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Download or read book Harmonic Analysis and Nonlinear Differential Equations written by Victor Lenard Shapiro and published by American Mathematical Soc.. This book was released on 1997 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media.
Download or read book Transients and Bifurcations of the Mammalian Circadian System written by Adrián E. Granada and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many organisms have an endogenous oscillatory system that controls their daily rhythms in physiology, metabolism and behaviour. In mammals, these oscillations are found in almost every cell and are orchestrated by a tiny brain area: the suprachiasmatic nucleus (SCN). This central pacemaker contains thousands of heterogeneous neurons that oscillate in a synchronized fashion and generate a robust about-a-day pace for the body. One of the fundamental properties of the SCN is to keep its internal period in synchrony with the external 24 hour environmental cycle, i.e., to entrain to the external recurring environment. Many properties of this complex network of coupled entrainable oscillators are poorly understood and the present work deals with some of these open questions.
Download or read book Library of Congress Catalog written by Library of Congress and published by . This book was released on 1960 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cumulative list of works represented by Library of Congress printed cards.
Download or read book Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems written by Gianluca Setti and published by World Scientific. This book was released on 2000 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.
Download or read book Proceedings written by and published by . This book was released on 1988 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical Feedback Control with Nonlinear Multi Loop Systems written by Boris J. Lurie and published by CRC Press. This book was released on 2019-08-02 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Feedback Control with Nonlinear Multi-Loop Systems describes the design of high-performance feedback control systems, emphasizing the frequency-domain approach widely used in practical engineering. It presents design methods for high-order nonlinear single- and multi-loop controllers with efficient analog and digital implementations. Bode integrals are employed to estimate the available system performance and to determine the ideal frequency responses that maximize the disturbance rejection and feedback bandwidth. Nonlinear dynamic compensators provide global stability and improve transient responses. This book serves as a unique text for an advanced course in control system engineering, and as a valuable reference for practicing engineers competing in today’s industrial environment.
Download or read book Nonlinear Dynamics and Chaos written by J. M. T. Thompson and published by John Wiley & Sons. This book was released on 2002-02-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.
Download or read book Catalog of Books and Reports in the Bureau of Mines Technical Library Pittsburgh Pa written by United States. Bureau of Mines. Technical Library, Pittsburgh and published by . This book was released on 1968 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Engineering Division Record written by American Association of Land-Grant Colleges and State Universities. Engineering Division and published by . This book was released on 1952 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
