When a quantity grows towards infinity in a finite-time, it is said to undergo hyperbolic growth. An example being a quantity that every time it doubles, the growth rate itself also doubles.
Normally this is modeled on the graph of 1/x (Wikipedia - hyperbolic growth). What I don't understand is why this phenomenon is called "Hyperbolic"? Is there someway that this could be formulated in terms of the hyperbolic functions? Or even the hyperbola curve?
Thanks.
The curve $y=1/x$ is a... hyperbola.