Oscillation And Dynamics In Delay Equations PDF Download
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| Author | : John R. Graef |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 0821851403 |
Download Oscillation and Dynamics in Delay Equations Book in PDF, ePub and Kindle
Oscillation theory and dynamical systems have long been rich and active areas of research. Containing frontier contributions by some of the leaders in the field, this book brings together papers based on presentations at the AMS meeting in San Francisco in January 1991. With special emphasis on delay equations, the papers cover a broad range of topics in ordinary, partial, and difference equations and include applications to problems in commodity prices, biological modelling, and number theory. The book would be of interest to graduate students and researchers in mathematics or those in other fields who have an interest in delay equations and their applications.
| Author | : K. Gopalsamy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 514 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 9401579202 |
Download Stability and Oscillations in Delay Differential Equations of Population Dynamics Book in PDF, ePub and Kindle
This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.
| Author | : John R. Graef |
| Publisher | : |
| Total Pages | : 263 |
| Release | : 1991 |
| Genre | : |
| ISBN | : |
Download Oscillation and Dynamics in Delay Equations Book in PDF, ePub and Kindle
| Author | : D.D Bainov |
| Publisher | : CRC Press |
| Total Pages | : 296 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780750301428 |
Download Oscillation Theory for Neutral Differential Equations with Delay Book in PDF, ePub and Kindle
With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem. Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology. This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.
| Author | : I. Győri |
| Publisher | : Clarendon Press |
| Total Pages | : 392 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : |
Download Oscillation Theory of Delay Differential Equations Book in PDF, ePub and Kindle
In recent years there has been a resurgence of interest in the study of delay differential equations motivated largely by new applications in physics, biology, ecology, and physiology. The aim of this monograph is to present a reasonably self-contained account of the advances in the oscillation theory of this class of equations. Throughout, the main topics of study are shown in action, with applications to such diverse problems as insect population estimations, logistic equations in ecology, the survival of red blood cells in animals, integro-differential equations, and the motion of the tips of growing plants. The authors begin by reviewing the basic theory of delay differential equations, including the fundamental results of existence and uniqueness of solutions and the theory of the Laplace and z-transforms. Little prior knowledge of the subject is required other than a firm grounding in the main techniques of differential equation theory. As a result, this book provides an invaluable reference to the recent work both for mathematicians and for all those whose research includes the study of this fascinating class of differential equations.
| Author | : Irving R. Epstein |
| Publisher | : Oxford University Press |
| Total Pages | : 407 |
| Release | : 1998-10-22 |
| Genre | : Science |
| ISBN | : 0195096703 |
Download An Introduction to Nonlinear Chemical Dynamics Book in PDF, ePub and Kindle
Assuming no more than an undergraduate knowledge of chemistry, the authors take the reader through the necessary mathematical and theoretical background of oscillating reactions, chaos and chemical waves to advanced topics of current research interest in chemical systems.
| Author | : Ravi P. Agarwal |
| Publisher | : CRC Press |
| Total Pages | : 400 |
| Release | : 2004-08-30 |
| Genre | : Mathematics |
| ISBN | : 0203025741 |
Download Nonoscillation and Oscillation Theory for Functional Differential Equations Book in PDF, ePub and Kindle
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq
| Author | : Ravi P. Agarwal |
| Publisher | : CRC Press |
| Total Pages | : 416 |
| Release | : 2002-11-21 |
| Genre | : Mathematics |
| ISBN | : 020322289X |
Download Oscillation Theory for Second Order Dynamic Equations Book in PDF, ePub and Kindle
The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions, has inspired many scholars. Hundreds of research papers have been published in every major mathematical journa
| Author | : Nikolai Verichev |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 496 |
| Release | : 2021-07-27 |
| Genre | : Technology & Engineering |
| ISBN | : 1527572978 |
Download Further Insights into Oscillation Theory Book in PDF, ePub and Kindle
The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.
| Author | : Muthusamy Lakshmanan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 322 |
| Release | : 2011-01-04 |
| Genre | : Science |
| ISBN | : 3642149383 |
Download Dynamics of Nonlinear Time-Delay Systems Book in PDF, ePub and Kindle
Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.
