Synopses & Reviews
Since Poincaré's early work on the nonlinear dynamics of the n-body problem in celestial mechanics, the twentieth century has seen an explosion of interest in nonlinear systems. Lorenz's study of a deterministic, third-order system of weather dynamics showed that this system demonstrated a random-like behavior called chaos. Through numerical simulations made possible by modern computers, and through experiments with physical systems, the presence of chaos has been discovered in many dynamical systems. The phenomenon of chaos has, in turn, spurred a great revival of interest in nonlinear dynamics.
Applied Nonlinear Dynamics provides a coherent and unified treatment of analytical, computational, and experimental methods and concepts of nonlinear dynamics. Analytical approaches based on perturbation methods and dynamical systems theory are presented and illustrated through applications to a wide range of nonlinear systems. Geometrical concepts, such as Poincaré maps, are also treated at length. A thorough discussion of stability and local and global bifurcation analyses for systems of differential equations and algebraic equations is conducted with the aid of examples and illustrations. Continuation methods for fixed points and periodic solutions and homotopy methods for determining fixed points are detailed. Bifurcations of fixed points, limit cycles, tori, and chaos are discussed. The fascinating phenomenon of chaos is explored, and the many routes to chaos are treated at length. Methods of controlling bifurcations and chaos are described. Numerical methods and tools to characterize motions are examined in detail. Poincaré sections, Fourier spectra, polyspectra, autocorrelation functions, Lyapunov exponents, and dimension calculations are presented as analytical and experimental tools for analyzing the motion of nonlinear systems.
This book contains numerous worked-out examples that illustrate the new concepts of nonlinear dynamics. Moreover, it contains many exercises that can be used both to reinforce concepts discussed in the chapters and to assess the progress of students. Students who thoroughly cover this book will be well prepared to make significant contributions in research efforts.
Unlike most other texts, which emphasize either classical methods, experiments and physics, geometrical methods, computational methods, or applied mathematics, Applied Nonlinear Dynamics blends these approaches to provide a unified treatment of nonlinear dynamics. Further, it presents mathematical concepts in a manner comprehensible to engineers and applied scientists. The synthesis of analytical, experimental, and numerical methods and the inclusion of many exercises and worked-out examples will make this the textbook of choice for classroom teaching. Moreover, the inclusion of an extensive and up-to-date bibliography will make it an invaluable text for professional reference.
Synopsis
A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.
Synopsis
Commercial Biosensors offers professionals an in-depth look at some of the most significant applications of commercially available biosensor-based instrumentation in the medical, bioprocess, and environmental fields. Featuring contributions by an international team of scientists, the book provides readers with an unparalleled opportunity to see how their colleagues around the world are using these powerful new tools.
Commercial Biosensors is divided into three sections. In the first, which is devoted to applications of biosensors to clinical samples, the authors explore how biosensors are currently being used for in-home diabetes monitoring, point-of-care diagnostics, and noninvasive sensing, and biomedical research. The second section deals with cutting-edge applications of biosensors in bioprocess control- for example, measuring glucose, sucrose, glutamate, or choline concentrations during food and beverage production and measuring ethanol concentration during beer fermentation. In the final section, readers learn about the use of biological oxygen demand (BOD) biosensors for monitoring environmental samples.
This book is an indispensable addition to the reference libraries of biosensor technologists, physicians, analytical chemists, environmental engineers, pesticide chemists, clinical chemists, and food chemists.
An in-depth exploration of state-of-the-art commercial biosensor technology and its aplications.
Commercial biosensor technology has taken off over the past few years, and the number of applications is growing rapidly. This book offers professionals a timely and authoritative look at some of the most important of these applications. Over the course of seven chapters authored by leading international experts, readers learn all about the latest in:
* Biosensors and diabetes management
* Microfabricated biosensors and point-of-care diagnostics systems
* Noninvasive biosensors in clinical analysis
* Surface plasmon resonance and evanescent wave biosensors
* Biosensor-based instruments in food and beverage production
* Biosensors in environmental sampling
Commercial Biosensors is required reading for all professionals who would like to take advantage of the enormous potential of one of today's most important new commercial technologies.
Description
Includes bibliographical references (p. 589-661) and index.
About the Author
Ali H. Nayfeh is a University Distinguished Professor of Engineering Science and Mechanics at the Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Professor Nayfeh is the Editor-in-Chief of the journal Nonlinear Dynamics and the Journal of Vibration and Control. He is the author of Perturbation Methods (Wiley, 1973), Nonlinear Oscillations (coauthored with Dean T. Mook; Wiley,1979), Introduction to Perturbation techniques (Wiley, 1981), Problems in Perturbation (Wiley, 1985), and Method of Normal Forms (Wiley, 1993). Professor Nayfeh's areas of interest include nonlinear vibrations and dynamics, wave propagation, ship and submarine motions, structural dynamics, acoustics, aerodynamic/dynamic/structure/control interactions, flight mechanics, and transition from laminar to turbulent flows.
Balakumar Balachandran is Assistant Professor of Mechanical Engineering at the University of Maryland, College Park, Maryland. His areas of interest include vibration and acoustics control, nonlinear dynamics, structural dynamics, and system identification.
Table of Contents
APPLICATIONS TO CLINICAL SAMPLES.
Biosensors for Personal Diabetes Management (T. Henning & D. Cunningham).
Microfabricated Sensors and the Commercial Development of the i-Stat Point-of-Care System (G. Davis).
Noninvasive Biosensors in Clinical Analysis (G. Palleschi, et al.).
Surface Plasmon Resonance (R. Earp & R. Dessy).
Biosensors Based on Evanescent Waves (D. Purvis, et al.).
APPLICATIONS TO BIOPROCESS SAMPLES.
Applications of Biosensor-Based Instruments to the Bioprocess Industry (J. Woodward & R. Spokane).
APPLICATIONS TO ENVIRONMENTAL SAMPLES.
Application of Biosensors to Environmental Samples (K. Riedel).
Index.