In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry.
Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation. This may lead to sudden and dramatic changes, for example the unpredictable timing and magnitude of a landslide.
Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation. This may lead to sudden and dramatic changes, for example the unpredictable timing and magnitude of a landslide.
Catastrophe Surfaces
It is getting colder now, so cold
A hot day, warm, bright sunlight
You would think a season of delight
But now shadows are taking hold
A tale of contrasts, when all told
Converging opposites, such plight
It is getting colder now, so cold
A hot day, warm, bright sunlight
On the precipice, the edge, behold
Falling, falling, from great height
Catastrophe surface brings the night
A sudden drop within the fold
It is getting colder now, so cold
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1 comment:
That diagram is reminiscent of those used to describe certain types of dislocations in crystal lattices.
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