عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789491216022
(Number (ISBN
9789491216039
(Number (ISBN
9789491216046
(Number (ISBN
9789491216381
NATIONAL BIBLIOGRAPHY NUMBER
Number
b505565
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Nonlinear Hybrid Continuous/Discrete-Time Models
General Material Designation
[Book]
First Statement of Responsibility
by Marat Akhmet.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Paris :
Name of Publisher, Distributor, etc.
Atlantis Press,
Date of Publication, Distribution, etc.
2011.
SERIES
Series Title
Atlantis Studies in Mathematics for Engineering and Science,
Volume Designation
8
ISSN of Series
1875-7642 ;
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789491216022
International Standard Book Number
9789491216046
International Standard Book Number
9789491216381
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Differential Equations.
Mathematics.
Medicine.
Physiology-- Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Akhmet, Marat.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190822135149.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
