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Non-classical equations of mixed type and their applications in gas dynamics
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The article was published on 1992-12-01 and is currently open access. It has received 31 citations till now. The article focuses on the topics: Fluid dynamics & Aerodynamics.read more
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On binary differential equations
J. W. Bruce,Farid Tari +1 more
TL;DR: In this article, the authors give the local classification of solution curves of binary differential equations at points at which the discriminant function b2-ac has a Morse singularity, and discuss the formal reduction of such equations to some normal form.
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On families of symmetric matrices
TL;DR: In this paper, a list of simple families of symmetric matrices with smooth change of parameters and parameterised conjugation is presented. Butler et al. used the natural notion of equivalence to obtain a list and investigate their geometry.
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On pairs of geometric foliations on a cross-cap
TL;DR: In this paper, the topological configurations of the lines of curvature on a cross-cap were obtained in the domain of a parametrisation of this surface as well as on the surface itself.
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Generic singularities of implicit systems of first order differential equations on the plane
TL;DR: For the implicit systems of first order ordinary differential equations on the plane, this article presented the complete local classification of generic singularities of family of its phase curves up to smooth orbital equivalence.
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Bifurcations of implicit differential equations
TL;DR: In this article, a local classification of integral curves of implicit di-erential equations is given, where the discriminant f(x, y) : fp = Fp = 0g has a Morse singularity.