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ABSTRACT:Catastrophe theory was successfully applied to the analysis of draw resonance phenomena. It was shown that the potential of cusp catastrophe was appropriate to the analysis of oscillating viscoelasticity appearing in the above-mentioned phenemena. Moreover, basic behavior such as stress relaxation is discussed in regard to this potential. In these analyses, no relaxation spectrum is introduced. However, an apparent spectrum can be obtained if the results of stress relaxation are analyzed by a procedure similar to that used in the analysis of linear viscoelasticity. But a spectrum may not always exist even if derived analytically.

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