Tag: Nonlinear

Free Download Principles of Nonlinear Filtering Theory
English | 2024 | ISBN: 3031776836 | 487 Pages | PDF EPUB (True) | 46 MB
This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. It is tailored to meet the needs of a diverse readership, including mathematically inclined engineers and scientists at both graduate and post-graduate levels. What sets this book apart from other treatments of the topic is twofold. Firstly, it offers a complete treatment of filtering theory, providing readers with a thorough understanding of the subject. Secondly, it introduces updated methodologies and applications that are crucial in today’s landscape. These include finite-dimensional filters, the Yau-Yau algorithm, direct methods, and the integration of deep learning with filtering problems. The book will be an invaluable resource for researchers and practitioners for years to come.

Free Download Advances in Nonlinear Speech Processing: 6th International Conference, NOLISP 2013, Mons, Belgium, June 19-21, 2013. Proceedings By John Kane, Christer Gobl (auth.), Thomas Drugman, Thierry Dutoit (eds.)
2013 | 217 Pages | ISBN: 3642388469 | PDF | 7 MB
This book constitutes the proceedings of the 6th International Conference on Nonlinear Speech Processing, NOLISP 2013, held in Mons, Belgium, in June 2013. The 27 refereed papers included in this volume were carefully reviewed and selected from 34 submissions. The paper are organized in topical sections on speech and audio analysis; speech synthesis; speech-based biomedical applications; automatic speech recognition; and speech enhancement.

Free Download Maciej J Ogorzalek, "Chaos and Complexity in Nonlinear Electronic Circuits"
English | ISBN: 9810228732 | | 276 pages | PDF | 14 MB
The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer’s perspective on chaos and complex behavior. It starts from basic mathematical notions which enable understanding of the observed phenomena, and guides the reader through the methodology and tools used in the laboratory and numerical experiments to interpretation and explanation of basic mechanisms. On typical circuit examples, it shows how the theoretical and empirical developments can be used in practice. Attention is drawn to applications of chaotic circuits as noise generators and the possible use of synchronized chaotic systems in information transmission and encryption. Chaos control is considered as a new, emerging area where electronic equipment and chaos theory could turn vital in biomedical and engineering issues.

Free Download Normal Modes and Localization in Nonlinear Systems By Ioannis T. Georgiou, Ira B. Schwartz (auth.), Alexander F. Vakakis (eds.)
2001 | 294 Pages | ISBN: 9048157153 | PDF | 9 MB
The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Free Download Nonlinear Oscillations and Waves in Dynamical Systems By P. S. Landa (auth.)
1996 | 544 Pages | ISBN: 9048146704 | PDF | 12 MB
A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science – the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader’s attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Free Download Nonlinear Mechanics, Groups and Symmetry By Yu. A. Mitropolsky, A. K. Lopatin (auth.)
1995 | 382 Pages | ISBN: 9048145171 | PDF | 15 MB
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré–Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.

Free Download Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices: Proceedings of a Symposium Organized Along with the International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment Noordwijkerhout, The Netherlan By L. L. Bonilla (auth.), Dr. Franz-Josef Niedernostheide (eds.)
1995 | 265 Pages | ISBN: 3642795080 | PDF | 21 MB
Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices is concerned with fundamental processes of self-organization and electrical instabilities to show the correlations between them. Leading experts give a survey of recent experimental observations concerning the spatiotemporal behaviour of dissipative structures in various semiconductor and present theoretical approches to problems of self-organization and the basic concepts of dynamical structures. To connect the field of semiconductor physics with the theory of nonequilibrium dissipative systems, the emphasis lies on the study of localized structures, their stability and bifurcation behaviour. A point of special interest is the evolution of dynamic structures and the investigation of more complex structures arising from interactions between these structures. Beyond that, possible applications of nonlinear effects and self-organization phenomena with respect to signal processing, sensors, and neural networks are discussed.

Free Download IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow: Proceedings of the IUTAM Symposium held in Notre Dame, U.S.A., 7-9 July 1999 By Victor Ya. Shkadov, Gregory M. Sisoev (auth.), H.-C. Chang (eds.)
2000 | 270 Pages | ISBN: 9048155177 | PDF | 10 MB
The active field of multi-phase flow has undergone fundamental changes in the last decade. Many salient complex interfacial dynamics of such flows are now understood at a basic level with precise mathematical and quantitative characterization. This is quite a departure from the traditional empirical approach. At an IUTAM Symposium at Notre Dame, in 1999, some of the leading researchers in the field gathered to review the progress thus far and to contemplate future directions. Their reports are summarized in this Proceedings. Topics covered include solitary wave dynamics on viscous film flows, sheet formation and drop entrainment in stratified flow, wetting and dewetting dynamics, self-similar drop formation dynamics, waves in bubbly and suspension flow, and bubble dynamics. It is a unique and essential reference for applied mathematicians, physicists, research engineers, and graduate students to keep abreast of the latest theoretical and numerical developments that promise to transform multi-phase flow research.

Free Download Advances in Nonlinear Dynamics: Methods and Applications By D. Quinn, R. Rand, J. Bridge (auth.), Anil K. Bajaj, Steven W. Shaw (eds.)
1995 | 195 Pages | ISBN: 9401041644 | PDF | 8 MB
This is the second and final issue of the collection of papers that were contributed by friends and colleagues of (Late) Professor P. R. "Pat" Sethna of the University of Minnesota to commemorate his 70th birthday on May 26, 1993. The first set of contributions was published in Nonlinear Dynamics as the last issue (no. 6) of Vol. 4 in 1993. As circumstances would have it, Professor Sethna was diagnosed with cancer in the fall of 1992 and, after an extended battle with the disease, he passed away on November 4, 1993, just a few days before the first set of contributed papers appeared in print. It is gratifying to report that the organizers of these vi Foreword commemorative issues in Nonlinear Dynamics were able to present to Professor Sethna, on the occasion of his 70th birthday, complete details of the planned commemorative issues. This second set of contributions is dedicated, in memoriam, to Professor P. R. Sethna. As many of you are well aware, Professor Sethna was an active researcher in the field of nonlinear vibrations and dynamics for nearly forty years, making many fundamental and significant contributions to both the theoretical and applied aspects of this field. He was also recognized for his outstanding leadership and administrative abilities, amply demonstrated through his position as the Head of the Department of Aerospace Engineering and Mechanics at the University of Minnesota for twenty-six years (1966-1992).

Free Download Nonlinear Excitations in Biomolecules: Les Houches School, May 30 to June 4, 1994 By J. A. Krumhansl (auth.), M. Peyrard (eds.)
1995 | 427 Pages | ISBN: 3540592504 | PDF | 13 MB
In the last few years, hopes have emerged that simple concepts could perhaps explain the extremely complicated biomolecular processes which are known to a greater and greater accuracy thanks to the extraordinary progress of biology. In parallel, powerful methods in physics, especially nonlinearity and cooperative effects, have been developed. They apply especially to biological phenomena and can explain coherent excitations with remarkable properties. This book provides a pedagogical introduction to the theory of nonlinear excitations and solitons in a biological environment, and also to the structure and function of biomolecules as well as energy and charge transport in biophysics.