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  5. Applications of differential calculus to geometry of elementary catastrophes. Caspoid catastrophes

Applications of differential calculus to geometry of elementary catastrophes. Caspoid catastrophes

V.Yu. Dubnitskiy, A.I. Khodyrev
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For caspoid catastrophes of types: fold, first type gather, second type gather, dovetail, first type butterfly, second type butterfly, wigwam elementary differential geometric characteristics were determined explicitly, such as: sections of tangent, subtangent, normal, subnormal, curvature and curvature radius of catastrophe, its curvature center coordinates.
Keywords: catastrophe theory, caspoid catastrophes, catastrophes of types: fold, first type gather, second type gather, dovetail, first type butterfly, second type butterfly, wigwam, tangent, subtangent, normal, subnormal, curve curvature, curvature radius, curve curvature center coordinates