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Nonlinear Hybrid Continuous/Discrete-Time Models
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Atlantis Studies in Mathematics for Engineering and Science,
8 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-91216-03-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220113043451.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110503s2011 fr | s |||| 0|eng d | ||
| 020 | |a 9789491216039 |9 978-94-91216-03-9 | ||
| 024 | 7 | |a 10.2991/978-94-91216-03-9 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Akhmet, Marat. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonlinear Hybrid Continuous/Discrete-Time Models |h [electronic resource] / |c by Marat Akhmet. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2011. | |
| 300 | |a XIII, 216 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Mathematics for Engineering and Science, |x 2467-9631 ; |v 8 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Medical sciences. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
| 650 | 2 | 4 | |a Health Sciences. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789491216381 |
| 776 | 0 | 8 | |i Printed edition: |z 9789491216022 |
| 776 | 0 | 8 | |i Printed edition: |z 9789491216046 |
| 830 | 0 | |a Atlantis Studies in Mathematics for Engineering and Science, |x 2467-9631 ; |v 8 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-91216-03-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||