Table 1.

Lyapunov spectra for different initial conditions (columns) and different values of the tie breaking parameter ɛ

ɛ	λ	k = 1	2	3	4	5
0	λ1	+1.0	+1.4	+0.4	+0.4	+0.4
	λ2	+0.2	+0.3	+0.3	+0.3	+0.3
	λ3	−0.5	−0.4	−0.3	−0.3	−0.3
	λ4	−0.7	−1.2	−0.4	−0.4	−0.4
0.25	λ1	+49.0	+35.3	+16.6	+0.4	+0.4
	λ2	+0.3	+0.3	+0.4	+0.2	+0.3
	λ3	−0.3	−0.1	−0.4	−0.2	−0.3
	λ4	−49.0	−35.5	−16.5	−0.4	−0.4
0.50	λ1	+61.6	+35.0	+28.1	+12.1	+0.2
	λ2	+0.6	+0.3	+0.1	+0.0	+0.2
	λ3	−0.6	−0.4	−0.2	−0.1	−0.2
	λ4	−61.5	−35.8	−28.0	−12.2	−0.3

k = 1, 2, 3, 4, 5 correspond to the initial conditions (x₁, x₂, x₃, y₁, y₂, y₃) = (0.5, 0.01k, 0.5 − 0.01k, 0.5, 0.25, 0.25) with k = 1, 2, … , 5. The Lyapunov exponents are multiplied by 10³. Note that λ₂ ≃ 0.0, λ₃ ≃ 0.0, and λ₄ ≃ −λ₁ as expected. The Lyapunov exponents indicating chaos are shown in boldface.