Nonlinear Hybrid Continuous/Discrete-Time Models

Akhmet, Marat

ISBN 10: 9491216384 ISBN 13: 9789491216381

Verlag: Atlantis Press (Zeger Karssen), 2013

Neu Softcover

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Beschreibung

This book examines the author's recently-introduced theory of equations with piece-wise constant argument of generalized type, demonstrating its use in the modeling of such real world problems as neural networks, blood pressure distribution and others. Series: Atlantis Studies in Mathematics for Engineering and Science. Num Pages: 229 pages, biography. BIC Classification: PDE; TBJ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 361. . 2013. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verk�ufers V9789491216381

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Inhaltsangabe:

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.

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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)

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Bibliografische Details

Titel: Nonlinear Hybrid Continuous/Discrete-Time ...
Verlag: Atlantis Press (Zeger Karssen)
Erscheinungsdatum: 2013
Einband: Softcover
Zustand: New