36 Integrals with Coalescing SaddlesProperties36.2 Catastrophes and Canonical Integrals36.4 Bifurcation Sets

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

(a) Density plot. | (b) 3D plot. |

In Figure 36.3.13(a) points of confluence of phase contours are zeros of ${\mathrm{\Psi}}_{2}\left(x,y\right)$; similarly for other contour plots in this subsection. In Figure 36.3.13(b) points of confluence of all colors are zeros of ${\mathrm{\Psi}}_{2}\left(x,y\right)$; similarly for other density plots in this subsection.

(a) Contour plot, at intervals of $\pi /4$. | (b) Density plot. |
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(a) Contour plot. | (b) Density plot. |

(a) Contour plot. | (b) Density plot. |

(a) Contour plot. | (b) Density plot. |

(a) Contour plot. | (b) Density plot. |

(a) Contour plot. | (b) Density plot. |