by
Bernfeld, Stephen R.
Call Number
515.35 22
Publication Date
1974
Summary
An introduction to nonlinear boundary value problems.
Format:
Electronic Resources
Relevance:
3.1788
by
Medio, Alfredo, 1938-
Call Number
515.352 21
Publication Date
2001
Summary
A textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or a reference book for researchers, in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics.
Format:
Electronic Resources
Relevance:
3.1623
View Other Search Results
by
Carles, Rémi.
Call Number
530.124 22
Publication Date
2008
Summary
These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is constructed and then extended to the nonlinear framework. The most difficult supercritical case is discussed in detail, together with some of its consequences concerning instability phenomena. Applications of WKB analysis to functional analysis, in particular to the Cauchy problem for nonlinear Schrödinger e.
Format:
Electronic Resources
Relevance:
3.1471
by
Small, Michael.
Call Number
519.55 22
Publication Date
2005
Summary
Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade. Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the practice of applying these methods to solve real problems. To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered. The technical tools utilized in this book fall into three distinct, but interconnected areas: quan.
Format:
Electronic Resources
Relevance:
3.1389
by
Pikovsky, Arkady, 1956-
Call Number
003.75 22
Publication Date
2001
Summary
Synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers and applauding audiences exhibit a tendency to operate in synchrony. This comprehensive book describes the phenomena using both classical results and recent developments.
Format:
Electronic Resources
Relevance:
3.1335
6.
by
Yurkevich, Valery D.
Call Number
629.836 22
Publication Date
2004
Summary
This unique book presents an analytical uniform design methodology ofcontinuous-time or discrete-time nonlinear control system design whichguarantees desired transient performances in the presence of plantparameter variations and unknown external disturbances.
Format:
Electronic Resources
Relevance:
3.1300
by
Pang, Xiao-Feng, 1945-
Call Number
530.155252 22
Publication Date
2005
Summary
In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems. The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the.
Format:
Electronic Resources
Relevance:
3.1198
by
Damgov, Vladimir.
Call Number
531.1133 22
Publication Date
2004
Summary
The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices. Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled re.
Format:
Electronic Resources
Relevance:
3.1182
by
Dai, Liming, 1961-
Call Number
003.75 23
Publication Date
2008
Summary
"Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented."--Jacket.
Format:
Electronic Resources
Relevance:
3.1096
by
Doyle, Diana Richards, 1963-
Call Number
320.011375 21
Publication Date
2000
Summary
This collection illustrates how nonlinear methods can provide new insight into existing political questions. Politics is often characterized by unexpected consequences, sensitivity to small changes, non-equilibrium dynamics, the emergence of patterns, and sudden changes in outcomes. These are all attributes of nonlinear processes. Bringing together a variety of recent nonlinear modeling approaches, Political Complexity explores what happens when political actors operate in a dynamic and complex social environment. The contributions to this collection are organized in terms of three branches within non-linear theory: spatial nonlinearity, temporal nonlinearity, and functional nonlinearity. The chapters advance beyond analogy towards developing rigorous nonlinear models capable of empirical verification. Contributions to this volume cover the areas of landscape theory, computational modeling, time series analysis, cross-sectional analysis, dynamic game theory, duration models, neural networks, and hidden Markov models. They address such questions as: Is international cooperation necessary for effective economic sanctions? Is it possible to predict alliance configurations in the international system? Is a bureaucratic agency harder to remove as time goes on? Is it possible to predict which international crises will result in war and which will avoid conflict? Is decentralization in a federal system always beneficial? The contributors are David Bearce, Scott Bennett, Chris Brooks, Daniel Carpenter, Melvin Hinich, Ken Kollman, Susanne Lohmann, Walter Mebane, John Miller, Robert E. Molyneaux, Scott Page, Philip Schrodt, and Langche Zeng. This book will be of interest to a broad group of political scientists, ranging from those who employ nonlinear methods to those curious to see what it is about. Scholars in other social science disciplines will find the new methodologies insightful for their own substantive work. Diana Richards is Associate Professor of Political Science, University of Minnesota.
Format:
Electronic Resources
Relevance:
3.0938
by
Schimansky-Geier, L.
Call Number
530.1518 22
Publication Date
2007
Summary
Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temp.
Format:
Electronic Resources
Relevance:
3.0831
by
Maugin, G. A. (Gérard A.), 1944-
Call Number
536.7 22
Publication Date
1999
Summary
"In this book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of "irreversible thermodynamics" behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework." "The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-filed, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena."--Jacket.
Format:
Electronic Resources
Relevance:
3.0817
Limit Search Results