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Book
Complexity and evolution of dissipative systems : an analytical approach
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ISSN: 21955530 ISBN: 3110268280 9783110268287 3110268299 9783110268294 9783110266481 3110266482 9781306205160 1306205166 Year: 2014 Volume: 4 Publisher: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG,

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Abstract

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.


Book
Selected Papers from the 8th Symposium on Micro-Nano Science and Technology on Micromachines
Authors: --- ---
ISBN: 3038977292 3038977284 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This Special Issue presents selected papers from the 8th

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