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This map is also known as the Holmes map.
Duffing map is a discrete time dynamical system which shows chaotic behaviour. Duffing equation which named after George Duffing is used to design damped oscillators. It is defined as follows.
x_n+1 = y_n
y_n+1 = −b*x_n + a*y_n − y_n^3
Here the map depends on two constants a and b. And the system produces chaotic behaviour on the values a = =2.75 and b = =0.2.
Functions:
Main function : main.m
Duffing function :dufffing.m
Input the value to x and y;
x= ; % Initial values
y= ; % Initial values
a= ; % Parameter value
b= ; % Parameter value
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