Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Figure 13

Parameter space diagram for 𝑎=0.42, 𝑏=−1.45⋯−1.08, 𝜇=1.0⋯3.5. (a) shows the numerically determined bandcounts, while (b) shows the corresponding analytically determined diagram. In (a), regions are labeled with their bandcounts. The borders of two regions 𝑄⁸_ℒℛ5 are completely labeled, consisting of the band-merging crises 𝛾^ℓ_ℒℛ5 and 𝛾^𝑟_ℒℛ5, the stability border 𝜃⁻_ℒℛ3 and the border collision 𝜉^0,ℓ_ℒℛ3. Dotted lines show band-merging crisis curves inside periodic regions.

(a)

(b)