while away, i have developed a love for 1) miniature tea sets, 2) camel cigarettes, and 3) rehab chic.
Monday, February 1, 2010
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Wednesday, November 25, 2009
the tipping point
Fold catastrophe
At negative values of a, the potential has two extrema - one stable, and one unstable. If the parameter a is slowly increased, the system can follow the stable minimum point. But at a=0 the stable and unstable extrema meet, and annihilate. This is the bifurcation point. At a>0 there is no longer a stable solution. If a physical system is followed through a fold bifurcation, one therefore finds that as a reaches 0, the stability of the a<0 solution is suddenly lost, and the system will make a sudden transition to a new, very different behaviour. This bifurcation value of the parameter a is sometimes called the tipping point.
source- wikipedia
Saturday, November 21, 2009
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