swallowtail%20catastrophe

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1: 36.4 Bifurcation Sets

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Bifurcation (Catastrophe) Set for Cuspoids

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Bifurcation (Catastrophe) Set for Umbilics

… ► $K=3$, swallowtail bifurcation set: … ►Swallowtail self-intersection line: … ►Swallowtail cusp lines (ribs): …

2: 36.5 Stokes Sets

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Figure 36.5.2: Swallowtail catastrophe with . Magnify

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Figure 36.5.3: Swallowtail catastrophe with $z=0$. Magnify

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Figure 36.5.4: Swallowtail catastrophe with $z>0$. … Magnify

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3: Bibliography C

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Asymptotic estimates for generalized Stirling numbers. Analysis (Munich) 20 (1), pp. 1–13.

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External Links:

ISSN 0174-4747, MathReview (F. T. Howard), ZentralBlatt

Referenced by:

§26.8(vii).

Encodings:

BibTeX

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A differential equation method for the numerical evaluation of the Airy, Pearcey and swallowtail canonical integrals and their derivatives. Molecular Phys. 48 (6), pp. 1305–1330.

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External Links:

ISSN 0026-8976, Document, MathReview (Peter Giblin)

Referenced by:

§36.10(i), §36.10(ii), §36.15(v), §36.8.

Encodings:

BibTeX

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A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: Application to Pearcey’s integral and its derivatives. J. Phys. A 15 (4), pp. 1179–1190.

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External Links:

ISSN 0305-4470, Document, MathReview, ZentralBlatt

Referenced by:

§36.15(iii), §36.8.

Encodings:

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Molecular collisions and cusp catastrophes: Three methods for the calculation of Pearcey’s integral and its derivatives. Chem. Phys. Lett. 81 (2), pp. 306–310.

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External Links:

ISSN 0009-2614, Document, MathReview (J. S. Joel)

Referenced by:

§36.14(iii).

Encodings:

BibTeX

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Catastrophes and molecular collisions. Molecular Phys. 31 (1), pp. 33–55.

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External Links:

Document, MathReview (V. M. Zakaljukin)

Referenced by:

§36.14(iii).

Encodings:

BibTeX

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