Duffing's equation

d²x ⁄ dt² + k dx ⁄ dt + x³ = B cos t

k =
B =

x =
y = dx ⁄ dt
=

h = 2π/

Plot at t = (n = 0, 1, 2, …)

k = 0.1, B = 12 (x = 3, y = 0)
: Japanese attractor
k = 0.05, B = 7.5
: Ueda's chaotic attractor

y

x

	Duffing's equation
			d²x ⁄ dt² + k dx ⁄ dt + x³ = B cos t k = B = x = y = dx ⁄ dt = h = 2π/ Plot at t = (n = 0, 1, 2, …) k = 0.1, B = 12 (x = 3, y = 0) : Japanese attractor k = 0.05, B = 7.5 : Ueda's chaotic attractor
y

		x