Catastrophe in elastic tensegrity frameworks

DOI10.1007/s40598-021-00193-9OpenAlexW4213203738MaRDI QIDQ2101702

Alexander Heaton, Sascha Timme

Publication date: 6 December 2022

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13408

zbMATH Keywords

homotopy continuationdiscriminantcatastrophenumerical algebraic geometrytensegrity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Computational aspects in algebraic geometry (14Q99) Solving polynomial systems; resultants (13P15)

Related Items (1)

Nonlinear algebra and applications

Uses Software

• HomotopyContinuation

Cites Work

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• Witness sets of projections
• Coefficient-parameter polynomial continuation
• Buckminster fuller's tensegrity structures and Clerk Maxwell's rules for the construction of stiff frames
• The catastrophe controversy
• HomotopyContinuation.jl: a package for homotopy continuation in Julia
• Machine learning the real discriminant locus
• Numerical algebraic geometry and algebraic kinematics
• Tensegrity Systems
• Monte Carlo on Manifolds: Sampling Densities and Integrating Functions
• Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks
• Random Points on an Algebraic Manifold
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Deployable structures. CISM course, Udine, Italy, July 5--9, 1999

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