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Complexity and Evolution of Dissipative Systems: An Analytical Approach

Complexity and Evolution of Dissipative Systems: An Analytical Approach

Hardcover

Series: de Gruyter Mathematics and Life Sciences, Book 4

BiologyGeneral Mathematics

Currently unavailable to order

ISBN10: 3110266482
ISBN13: 9783110266481
Publisher: De Gruyter
Published: Nov 15 2013
Pages: 311
Weight: 1.45
Height: 0.90 Width: 6.90 Depth: 9.60
Language: English

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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General Mathematics