Chapter 2  Solutions of Equations in One Variable

 

Logistic map

 

initial value, .

parameter, .

,  converges to a fixed point.

, period 2.

, period 4.

, period 8.

, period 16.

        

, period .

Logistic mapping shows a route to chaos by period-doublings.

 

References:

【1】         S. H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, New York, 1994.