Construct the Poincaré section, as in Exercise 1, for the inverted Duffing oscillator, for...

Construct the Poincaré section, as in Exercise 1, for the inverted Duffing oscillator,

for values of F in the range 0.24 to 0.35. This oscillator is said to be inverted because the coefficient of the linear term is negative.

Exercise 1

Construct the Poincaré section xp for the particular Duffing oscillator

where with initial conditions .