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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.
Mathematical physics. --- Energy dissipation. --- Biophysics. --- Attractors (Mathematics) --- Chaotic behavior in systems. --- Biological physics --- Biology --- Medical sciences --- Physics --- Degradation, Energy --- Dissipation (Physics) --- Energy degradation --- Energy losses --- Losses, Energy --- Force and energy --- Physical mathematics --- Attracting sets (Mathematics) --- Attractors of a dynamical system --- Dynamical system, Attractors of --- Sets, Attracting (Mathematics) --- Differentiable dynamical systems --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Dynamics --- Nonlinear theories --- System theory --- Mathematics --- Biological Evolution. --- Dynamic Network Complexity. --- Fluid Dynamic Equation. --- Reaction Diffusion System. --- Viability Problem.
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This Special Issue presents selected papers from the 8th
stretchable electronic device --- Cu-Ni alloy --- n/a --- bioremediation --- flexible electronic device --- microfluidic device --- tactile sensor --- self-organization --- stretchability --- origami --- flexible device --- pH indicator --- additive manufacturing --- fatigue --- Nafion --- Game of Life --- MEMS --- micropatterns --- stretchable elastomer --- microcantilever --- wearable --- polydimethylsiloxane --- reaction-diffusion system --- capacitive force sensor --- slipping detection --- microfabrication --- alginate hydrogel --- microfluidics --- shape from silhouette --- artificial cochlea --- micro/nano technology --- ion concentration polarization --- thermoelectric generator --- ultraviolet treatment --- micro-stereolithography --- proximity sensor --- blink --- 3D shape reconstruction --- reductive sintering --- cellular automata --- crack configuration --- Young model --- transparent object --- femtosecond laser --- piezoelectric material --- Turing pattern model --- microtubes --- thermoelectric film --- luciferin–luciferase assay --- fluorescein isothiocyanate (FITC) --- printing --- triple-coaxial flow --- photopolymer --- metal conductive track --- ion depletion zone --- sensors --- microbes --- direct writing --- outer hair cell --- dye-sensitized photovoltaic cells --- microfiber spinning --- ATP --- 3D printing --- parasitic capacitance --- luciferin-luciferase assay
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