Nonlinear Hybrid Continuous/Discrete-Time Models

• Main Author: Akhmet, Marat (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press, 2011.
• Series: Atlantis Studies in Mathematics for Engineering and Science, 8
• Subjects: Mathematics.; Medicine.; Differential equations.; Applied mathematics.; Engineering mathematics.; Biomathematics.; Ordinary Differential Equations.; Applications of Mathematics.; Physiological, Cellular and Medical Topics.; Medicine/Public Health, general.

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 bo...

Table of Contents:

• 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.