Swinging Atwood's Machine : integrability and dynamics
J. Phys. France, 51 16 (1990) 1693-1702
Article cité par
La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).
Article cité :
Citations de cet article :
Dynamics and non-integrability of the variable-length double pendulum: Exploring chaos and periodicity via the Lyapunov refined maps
Wojciech Szumiński and Tomasz KapitaniakJournal of Sound and Vibration 611 119099 (2025)
https://doi.org/10.1016/j.jsv.2025.119099
A new model of variable-length coupled pendulums: from hyperchaos to superintegrability
Wojciech SzumińskiNonlinear Dynamics 112 (6) 4117 (2024)
https://doi.org/10.1007/s11071-023-09253-5
Dynamics and non-integrability of the double spring pendulum
Wojciech Szumiński and Andrzej J. MaciejewskiJournal of Sound and Vibration 589 118550 (2024)
https://doi.org/10.1016/j.jsv.2024.118550
Resonances and Periodic Motions of Atwood’s Machine with Two Oscillating Weights
A. N. ProkopenyaProgramming and Computer Software 49 (5) 433 (2023)
https://doi.org/10.1134/S0361768823020135
Resonances and Periodic Motions of Atwood’s Machine with Two Oscillating Weights
A. N. ProkopenyaПрограммирование (5) 70 (2023)
https://doi.org/10.31857/S0132347423020140
Computer Algebra in Scientific Computing
Alexander ProkopenyaLecture Notes in Computer Science, Computer Algebra in Scientific Computing 13366 288 (2022)
https://doi.org/10.1007/978-3-031-14788-3_16
Dynamics and integrability of the swinging Atwood machine generalisations
Wojciech Szumiński and Andrzej J. MaciejewskiNonlinear Dynamics 110 (3) 2101 (2022)
https://doi.org/10.1007/s11071-022-07680-4
Searching for Equilibrium States of Atwood’s Machine with Two Oscillating Bodies by Means of Computer Algebra
A. N. ProkopenyaProgramming and Computer Software 47 (1) 43 (2021)
https://doi.org/10.1134/S0361768821010084
Theoretical and experimental study of the looping pendulum
Yujing Wang and Yujun ShiEuropean Journal of Physics 42 (4) 045006 (2021)
https://doi.org/10.1088/1361-6404/abf022
Construction of a Periodic Solution to the Equations of Motion of Generalized Atwood’s Machine using Computer Algebra
A. N. ProkopenyaProgramming and Computer Software 46 (2) 120 (2020)
https://doi.org/10.1134/S0361768820020085
First integrals of motion for two dimensional weight-homogeneous Hamiltonian systems in curved spaces
A.A. ElmandouhCommunications in Nonlinear Science and Numerical Simulation 75 220 (2019)
https://doi.org/10.1016/j.cnsns.2019.04.002
Modelling Atwood’s Machine with Three Degrees of Freedom
Alexander N. ProkopenyaMathematics in Computer Science 13 (1-2) 247 (2019)
https://doi.org/10.1007/s11786-018-0357-1
On the integrability of 2D Hamiltonian systems with variable Gaussian curvature
A. A. ElmandouhNonlinear Dynamics 93 (2) 933 (2018)
https://doi.org/10.1007/s11071-018-4237-7
Force and torque of a string on a pulley
Thiago R. de Oliveira and Nivaldo A. LemosAmerican Journal of Physics 86 (4) 275 (2018)
https://doi.org/10.1119/1.5016040
Motion of a Swinging Atwood’s Machine: Simulation and Analysis with Mathematica
Alexander N. ProkopenyaMathematics in Computer Science 11 (3-4) 417 (2017)
https://doi.org/10.1007/s11786-017-0301-9
Genetic Programming
Dario Izzo, Francesco Biscani and Alessio MeretaLecture Notes in Computer Science, Genetic Programming 10196 35 (2017)
https://doi.org/10.1007/978-3-319-55696-3_3
On the integrability of the motion of 3 D -Swinging Atwood machine and related problems
A.A. ElmandouhPhysics Letters A 380 (9-10) 989 (2016)
https://doi.org/10.1016/j.physleta.2016.01.021
Linearised higher variational equations
Sergi SimonDiscrete and Continuous Dynamical Systems 34 (11) 4827 (2014)
https://doi.org/10.3934/dcds.2014.34.4827
Non-integrability of the degenerate cases of the Swinging Atwood's Machine using higher order variational equations
Regina Martínez and Carles SimóDiscrete & Continuous Dynamical Systems - A 29 (1) 1 (2011)
https://doi.org/10.3934/dcds.2011.29.1
Swinging Atwood Machine: Experimental and numerical results, and a theoretical study
O. Pujol, J.P. Pérez, J.P. Ramis, et al.Physica D: Nonlinear Phenomena 239 (12) 1067 (2010)
https://doi.org/10.1016/j.physd.2010.02.017
Kowalevski's analysis of the swinging Atwood's machine
O Babelon, M Talon and M Capdequi PeyranèreJournal of Physics A: Mathematical and Theoretical 43 (8) 085207 (2010)
https://doi.org/10.1088/1751-8113/43/8/085207
On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood machine
H.M. YehiaMechanics Research Communications 33 (5) 711 (2006)
https://doi.org/10.1016/j.mechrescom.2005.06.015
On the nonintegrability of the Stormer problem
M A Almeida, I C Moreira and H YoshidaJournal of Physics A: Mathematical and General 25 (5) L227 (1992)
https://doi.org/10.1088/0305-4470/25/5/003