Complexity and evolution of dissipative systems : an analytical approach / / Sergey Vakulenko
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| Autore: |
Vakulenko Sergey
|
| Titolo: |
Complexity and evolution of dissipative systems : an analytical approach / / Sergey Vakulenko
|
| Pubblicazione: | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co., KG, , [2014] |
| ©2014 | |
| Descrizione fisica: | 1 online resource (316 p.) |
| Disciplina: | 003 |
| Soggetto topico: | Mathematical physics |
| Energy dissipation | |
| Biophysics | |
| Attractors (Mathematics) | |
| Chaotic behavior in systems | |
| Soggetto non controllato: | Biological Evolution |
| Dynamic Network Complexity | |
| Fluid Dynamic Equation | |
| Reaction Diffusion System | |
| Viability Problem | |
| Classificazione: | SK 560 |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Complex dynamics in neural and genetic networks -- 3. Complex patterns and attractors for reaction-diffusion systems -- 4. Random perturbations, evolution and complexity -- Bibliography -- Index -- Backmatter |
| Sommario/riassunto: | This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems. |
| Titolo autorizzato: | Complexity and evolution of dissipative systems |
| ISBN: | 3-11-026828-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910790832503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
De Gruyter Series in Mathematics and Life Sciences