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1 - 10 of 13134 for catastrophe theorySearch Results

For any system that seeks to minimize a function, only seven different local forms of

**catastrophe**"typically" occur for four or fewer variables: 1. Fold**catastrophe**, 2. Cusp ...**Catastrophe**

**theory**studies how the qualitative nature of equation solutions depends on the parameters that appear in the equations. Subspecializations include bifurcation ...

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**theory**is a set of sentences which is closed under logical implication. That is, given any subset of sentences {s_1,s_2,...} in the**theory**, if sentence r is a logical ...A

**catastrophe**which can occur for one control factor and one behavior axis. It is the universal unfolding of the singularity f(x)=x^3 and has the equation F(x,u)=x^3+ux.A

**catastrophe**which can occur for three control factors and two behavior axes. The elliptical umbilic is**catastrophe**of codimension 3 that has the equation ...A

**catastrophe**which can occur for three control factors and two behavior axes. The hyperbolic umbilic is the universal unfolding of the function germ f(x,y)=x^3+y^3. The ...A

**catastrophe**which can occur for four control factors and two behavior axes. The parabolic umbilic**catastrophe**is given by the unfolding ...A

**catastrophe**which can occur for three control factors and one behavior axis. The swallowtail**catastrophe**is the universal unfolding of singularity f(x)=x^5 with codimension ...A

**catastrophe**which can occur for four control factors and one behavior axis. The butterfly**catastrophe**is the universal unfolding of the singularity f(x)=x^6 of codimension ...A cusp

**catastrophe**is a**catastrophe**which can occur for two control factors and one behavior axis. The cusp**catastrophe**is the universal unfolding of the singularity f(x)=x^4 ......