Searching for equilibrium states of Atwood's machine with two oscillating bodies by means of computer algebra

DOI10.1134/S0361768821010084zbMath1483.70011OpenAlexW3130319038WikidataQ114847344 ScholiaQ114847344MaRDI QIDQ2027845

Alexander N. Prokopenya

Publication date: 28 May 2021

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768821010084

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Statics (70C20)

Related Items (1)

Stability analysis of periodic motion of the swinging Atwood machine

Uses Software

• Mathematica

Cites Work

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• Swinging Atwood Machine: experimental and numerical results, and a theoretical study
• On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood machine
• Motion of a swinging Atwood's machine: simulation and analysis with Mathematica
• Hamiltonian normalization in the restricted many-body problem by computer algebra methods
• Construction of a periodic solution to the equations of motion of generalized Atwood's machine using computer algebra
• Modelling Atwood's machine with three degrees of freedom
• Symbolic computation in studying stability of solutions of linear differential equations with periodic coefficients
• Some symbolic computation algorithms in cosmic dynamics problems

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