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Fig. 1

image

Variation in the highest asymptotic Lyapunov exponent λ, or Maximal Lyapunov exponent, with dark halo orientation φ. The flattening is fixed to be qz = 1.25. The red curves, lowest velocities, show higher values of λ, meaning stronger chaos. The blue curves, highest velocities, are mainly regular. The L-orbits, closest to the disc (dashed blue), remain regular at any orientation, the H-orbits (continuous blue) convert into chaotic at orientations around 90 degrees.

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