Nonlinear Hybrid Continuous/Discrete-Time Models: 8 (Atlantis Studies in Mathematics for Engineering and Science, 8) - Softcover

Book 8 of 14: Atlantis Studies in Mathematics for Engineering and Science

Akhmet, Marat

 
9789491216381: Nonlinear Hybrid Continuous/Discrete-Time Models: 8 (Atlantis Studies in Mathematics for Engineering and Science, 8)
Softcover
ISBN 10: 9491216384 ISBN 13: 9789491216381
Publisher: Atlantis Press, 2013

Synopsis

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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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)

"About this title" may belong to another edition of this title.

Publisher
Atlantis Press
Publication date
2013
Language
English
ISBN 10 
9491216384
ISBN 13 
9789491216381
Binding
Paperback
Number of pages
229

Other Popular Editions of the Same Title

9789491216022: Nonlinear Hybrid Continuous/Discrete-Time Models: 8 (Atlantis Studies in Mathematics for Engineering and Science, 8)

Featured Edition

ISBN 10:  9491216023 ISBN 13:  9789491216022
Publisher: Atlantis Press, 2011
Hardcover