Trajectory singularities of general planar motions

DOI10.1017/S0308210500027451zbMath0928.70008OpenAlexW2170770529MaRDI QIDQ4243029

W. Hawes, C. G. Gibson, Peter S. Donelan

Publication date: 9 January 2000

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027451

zbMATH Keywords

versal unfoldingssmall deformations of tracing pointcomputer-generated pictureslocal structure of bifurcation curves

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Kinematics of a particle (70B05)

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• On right-equivalence
• Determinacy and unipotency
• On the determinacy of smooth map-germs
• On versal unfoldings of singularities for general two-dimensional spatial motions
• On the Classification of Germs of Maps from R² to R³
• SERGEI L'VOVICH SOBOLEV (on his seventieth birthday)
• Affine cubic functions
• On the Degree of Determinacy of Smooth Functions
• Wave front evolution and equivariant Morse lemma
• Poincaré - Melnikov - Arnold method for analytic planar maps
• Singularities of general one-dimensional motions of the plane and space

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