Complexity and Evolution of Dissipative Systems An Analytical Approach
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Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
15.11.2013
Abbildungen
mit 21 Illustrationen
Verlag
De GruyterSeitenzahl
294
Maße (L/B/H)
24.6/17.5/2.8 cm
Gewicht
667 g
Auflage
1
Sprache
Englisch
ISBN
978-3-11-026648-1
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.
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