Items related to Nonlinear Hybrid Continuous/Discrete-Time Models: 8...

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

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

Akhmet, Marat

 
9789491216022: Nonlinear Hybrid Continuous/Discrete-Time Models: 8 (Atlantis Studies in Mathematics for Engineering and Science, 8)
Hardcover
ISBN 10: 9491216023 ISBN 13: 9789491216022
Publisher: Atlantis Press, 2011

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.

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

About the Author

1) Prof. Dr. Marat Akhmet is a member of the Department of Mathematics, Middle East Technical University, Turkey. He is a specialist in dynamical  models, bifurcation theory, chaos theory and differential equations. He has spent several years investigating the dynamics of neural networks, economic models and mechanical systems. He has published 4 books on different topics of dynamical systems. 2)  Dr. Ardak Kashkynbayev obtained his PhD from the Department of Mathematics, Middle East Technical University, Turkey. His research focuses on differential equations, bifurcation theory, chaos theory and applications to mechanical systems.

From the Back Cover

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.

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

Publisher
Atlantis Press
Publication date
2011
Language
English
ISBN 10 
9491216023
ISBN 13 
9789491216022
Binding
Hardcover
Number of pages
232