Swallowtail Integral Maple 3D plot
Swallowtail Integral Maple contour plot
SwaIntegral Maple density plotllowtail
燕尾積分(Swallowtail Integral)是一種三階多鞍點積分,其定義如下[1]:p388
Swallowtail integral Bifurcation catastrophe
燕尾積分的分岔滿足下列方程式[2]:p781
Swallowtail integral Stokes set 1
Swallowtail integral Stokes set 2
Swallowtail integral catastrophe for z=0
燕尾積分的斯托克斯曲線(Stokes curve)滿足下列方程式[2]:p783
其中
是下列五階代數方程的最小的兩個解:
,即
- ^ Roderick Wong, Asymptotic Approximation of Integrals,2001,SIAM.
- ^ 2.0 2.1 Frank Oliver, NIST Handbook of Mathematical Functions, 2010,Cambridge University Press