Description: Nonlinear Hybrid Continuous/Discrete-Time Models by Marat Akhmet The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type. Notes Most general differential equations with piece-wise constant argument are investigatedNew technique of analysis is used. A new model of blood pressure distribution is introduced with complete analysis Synchronization of quite identical integrate-and-fire oscillators is provedGeneral model of quite identical integrate-and-fire oscillators is constructedModel of recurrent neural networks with continuous/discrete-time is investigated Table of Contents 1. Introduction.- 2. Linear and quasi-linear systems with piecewise constant argument.- 3. The reduction principle for systems with piecewise constant argument.- 4. The small parameter and differential equations with piecewise constant argument.- 5. Stability.- 6. The state-dependent piecewise constant argument.- 7. Almost periodic solutions.- 8. Stability of neural networks.- 9. The blood pressure distribution.- 10. Integrate-and-fire biological oscillators. Review From the reviews:"Hybrid systems are a recent concept in dynamical systems theory and have important and extensive applications. … The present book generalizes the concept of differential equations with piecewise constant argument by considering a more general type of equations and develops new methodological approaches to explore those challenging systems. … This book is well written and readable and will be extremely useful not only to expert readers but also to graduate and advanced undergraduate students." (Meng Fan, Mathematical Reviews, January, 2013) Review Quote From the reviews:Hybrid systems are a recent concept in dynamical systems theory and have important and extensive applications. … The present book generalizes the concept of differential equations with piecewise constant argument by considering a more general type of equations and develops new methodological approaches to explore those challenging systems. … This book is well written and readable and will be extremely useful not only to expert readers but also to graduate and advanced undergraduate students. (Meng Fan, Mathematical Reviews, January, 2013) Feature Most general differential equations with piece-wise constant argument are investigated New technique of analysis is used. A new model of blood pressure distribution is introduced with complete analysis Synchronization of quite identical integrate-and-fire oscillators is proved General model of quite identical integrate-and-fire oscillators is constructed Model of recurrent neural networks with continuous/discrete-time is investigated Details ISBN9491216023 Author Marat Akhmet Short Title NONLINEAR HYBRID CONTINUOUS/DI Series Atlantis Studies in Mathematics for Engineering and Science Language English ISBN-10 9491216023 ISBN-13 9789491216022 Media Book Format Hardcover Series Number 8 Edition 11001st Year 2011 Publication Date 2011-05-08 Pages 216 Imprint Atlantis Press Country of Publication Netherlands Illustrations XIII, 216 p. DOI 10.2991/978-94-91216-03-9;10.1007/978-94-91216-03-9 Publisher Atlantis Press (Zeger Karssen) Alternative 9789491216381 DEWEY 620.00151 Audience Professional & Vocational Edition Description Edition. ed. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96376842;
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ISBN-13: 9789491216022
Book Title: Nonlinear Hybrid Continuous/Discrete-Time Models
Number of Pages: 216 Pages
Publication Name: Nonlinear Hybrid Continuous/Discrete-Time Models
Language: English
Publisher: Atlantis Press (Zeger Karssen)
Item Height: 235 mm
Subject: Medicine, Mathematics
Publication Year: 2011
Type: Textbook
Item Weight: 518 g
Author: Marat Akhmet
Item Width: 155 mm
Format: Hardcover
