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...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Paris :
Atlantis Press
2011.
Cham : Springer Nature |
| シリーズ: | Atlantis Studies in Mathematics for Engineering and Science
8 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear Hybrid Continuous/Discrete-Time Models, Texte imprimé, 9789491216381 • Nonlinear Hybrid Continuous/Discrete-Time Models, Texte imprimé, 9789491216046 • Nonlinear Hybrid Continuous/Discrete-Time Models, by Marat Akhmet, Amsterdam, Atlantis Press, 2011, Atlantis Studies in Mathematics for Engineering and Science, 978-94-9121602-2 |
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| 100 | 1 | |a Akhmet, Marat. | |
| 245 | 1 | 0 | |a Nonlinear hybrid continuous/discrete-time models |c by Marat Akhmet. |
| 260 | |a Paris : |b Atlantis Press. | ||
| 260 | |a Cham : |b Springer Nature, |c 2011. | ||
| 490 | 0 | |a Atlantis Studies in Mathematics for Engineering and Science |v 8 |x 2467-9631 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | |a Liquides biologiques |x Débit |x Modèles mathématiques | ||
| 650 | |a Physique |x Modèles mathématiques | ||
| 650 | |a Simulation, méthodes de | ||
| 650 | |a Dynamique des fluides |x Modèles mathématiques | ||
| 776 | 0 | |t Nonlinear Hybrid Continuous/Discrete-Time Models |b Texte imprimé |z 9789491216381 | |
| 776 | 0 | |t Nonlinear Hybrid Continuous/Discrete-Time Models |b Texte imprimé |z 9789491216046 | |
| 776 | 0 | |0 158120450 |t Nonlinear Hybrid Continuous/Discrete-Time Models |f by Marat Akhmet |c Amsterdam |n Atlantis Press |d 2011 |s Atlantis Studies in Mathematics for Engineering and Science |z 978-94-9121602-2 | |
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