Nonlinear hybrid continuous/discrete-time models [electronic resource]
- 作者： Akhmet, Marat.
- 其他作者：
- 出版： Paris : Atlantis Press
- 叢書名： Atlantis studies in mathematics for engineering and science,v.8
- 主題： Hybrid systems. , Mathematics , Ordinary Differential Equations. , Applications of Mathematics. , Physiological, Cellular and Medical Topics. , Medicine/Public Health, general.
- ISBN： 9789491216039 (electronic bk.) 、 9789491216022 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005070230 | 機讀編目格式
館藏資訊
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.