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Figure 1.6. The contour N of discontinuity for the sectionally analytic function N(w). With the exception of the two components of R+ \ I which are oriented leftto-right, the contour arcs are oriented with the regions labeled “+” on the left and with the regions labeled “−” on the right. The image of N \R+ under w → E(w) with E defined by (1.10) consists of the four straight line segments: (i) {E} = −δ , 0 0 is a sufficiently small number. The self-intersection point w = −1 is the critical point of E .

Corrigenda to “The Sine-Gordon Equation in the Semiclassical Limit: Critical Behavior Near a Separatrix”