Overview
- Most general differential equations with piece-wise constant argument are investigated
- New technique of analysis is used. A new model of blood pressure distribution is introduced with complete analysis Synchronization of quite identical integrate-and-fire oscillators is proved
- General model of quite identical integrate-and-fire oscillators is constructed
- Model of recurrent neural networks with continuous/discrete-time is investigated
- Includes supplementary material: sn.pub/extras
Part of the book series: Atlantis Studies in Mathematics for Engineering and Science (ASMES, volume 8)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
Keywords
About this book
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Hybrid Continuous/Discrete-Time Models
Authors: Marat Akhmet
Series Title: Atlantis Studies in Mathematics for Engineering and Science
DOI: https://doi.org/10.2991/978-94-91216-03-9
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Atlantis Press 2011
Hardcover ISBN: 978-94-91216-02-2Published: 08 May 2011
Softcover ISBN: 978-94-91216-38-1Published: 15 July 2013
eBook ISBN: 978-94-91216-03-9Published: 03 May 2011
Series ISSN: 1875-7642
Series E-ISSN: 2467-9631
Edition Number: 1
Number of Pages: XIII, 216
Topics: Ordinary Differential Equations, Applications of Mathematics, Physiological, Cellular and Medical Topics, Medicine/Public Health, general