Description
De Gruyter Complexity And Evolution Of Dissipative Systems: An Analytical Approach by Sergey Vakulenko
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.