On the “bead, hoop and spring” (BHS) dynamical system
Here, we make the theoretical and numerical analysis of the non-linear equation describing the evolution of the “bead, hoop and spring” (BHS) dynamical system derived by Ochoa and Clavijo in (Eur. J. Phys. 27:1277–1288, 2006 ). In particular, we solve by standard techniques of non-linear physics an...
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Published in | Nonlinear dynamics Vol. 56; no. 3; pp. 315 - 323 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Dordrecht
Springer Netherlands
01.05.2009
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | Here, we make the theoretical and numerical analysis of the non-linear equation describing the evolution of the “bead, hoop and spring” (BHS) dynamical system derived by Ochoa and Clavijo in (Eur. J. Phys. 27:1277–1288,
2006
). In particular, we solve by standard techniques of non-linear physics an approximation of their equation neglecting the centrifugal effect before giving a more mathematical and exact treatment. The analogy with phase transitions is underlined. We point out the existence of finite-time singularities in the phase-space and we derive a criterion for possible oscillations. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0924-090X 1573-269X |
DOI: | 10.1007/s11071-008-9407-6 |