Презентация на тему: Complexity and Fragility?
Complexity and Fragility? John Doyle Control and Dynamical Systems BioEngineering Electrical Engineering Caltech
Engineering design objectives
Engineering design objectives
Bottom line Want robustness & efficiency that is verifiably so May require highly complex organization and structure Robustness, evolvability, and verifiability are compatible and Tradeoff to some extent against efficiency, cost, complexity, etc.
Threshold theorems
With feedback
With feedback
Two opposite views of complexity Physics: Pattern formation by reaction/diffusion Edge-of-chaos Order for free Self-organized criticality Phase transitions Scale-free networks Equilibrium, linear Nonlinearity & complexity as exotica
Two opposite views of life Physics: If you are dead, you are likely to stay that way
Why should anyone care? Computational problems in biology and advanced technologies are even harder. If we can’t do this “simple” problem, what hope is there for scalability of computational methods to large networks? Is there some other reason for optimism?
