Next, when the parameter r is in the range 0 < r < 1, decreases monotonically for any value of between 0 and 1. That is, converges to 0 in the limit n → ∞. The point to which converges is the fixed point shown in equation (2-3). Fixed points of this type, where orbits around them converge, are called asymptotically stable, stable, or attractive. Conversely, if orbits around move away from as time n increases, the fixed point is called unstable or repulsive.
Next, when the parameter r is in the ,range 0 < r < 1 decreases monotonically for any value of between 0 and 1. That is, converges to 0 in the limit n → ∞. The point to which converges is the, fixed point sho,wn in equation (2-3). Fixed points of this type where orbits around them converge, are called asymptotically stable, stable, or attractive. Conversely, if orbits around move away from as time n increases the fixed point is called unstable or repulsive.