GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 0.5 Α ' GLYPH<Greater> 0 GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 0.5 Α ' GLYPH<Less> 0 (a) ¯ Ω 0 = 0 . 5 GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 1 Α ' GLYPH<Greater> 0 GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 1 Α ' GLYPH<Less> 0 (b) ¯ Ω 0 = 1 GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 1.5636 Α ' GLYPH<Greater> 0 GLYPH<Minus> 2 0 2 4 6 8 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 1.5636 Α ' GLYPH<Less> 0 (c) ¯ Ω 0 = 1 . 5636 GLYPH<Minus> 6 GLYPH<Minus> 4 GLYPH<Minus> 2 0 2 4 6 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 4 Α ' GLYPH<Greater> 0 GLYPH<Minus> 4 GLYPH<Minus> 2 0 2 4 6 0 2 4 6 8 10 Λ GLYPH<CapOmega> GLYPH<CapOmega> 0 GLYPH<Equal> 4 Α ' GLYPH<Less> 0 (d) ¯ Ω 0 = 4 FIG. 10: ¯ Ω vs ¯ λ for various inital values of ¯ Ω$_{0}$ at ¯ λ = 0. The solutions at different orders are 1 st (continuous line), 2 nd (long dashed line), 3 rd (short dashed line) and 4 th (dotted line). The figures on the left are for α ′ > 0 and on the right are α ′ < 0 20