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Volumn 72, Issue 4, 2004, Pages 484-491

The driven pendulum at arbitrary drive angles

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842815222 PISSN: 00029505 EISSN: None Source Type: Journal
DOI: 10.1119/1.1603269 Document Type: Article

Times cited : (6)

References (12)

1
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- Pergamon, New York
- L. M. Landau and E. M. Lifshitz, Mechanics (Pergamon, New York, 1960), pp. 93-95.
- (1960) Mechanics , pp. 93-95
- Landau, L.M.¹ Lifshitz, E.M.²

2
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- An analytic solution of the inverted pendulum
- F. M. Phelps III and J. H. Hunter, Jr., "An analytic solution of the inverted pendulum," Am. J. Phys. 33, 285-295 (1965); 34, 533-535 (1966).
- (1965) Am. J. Phys. , vol.33 , pp. 285-295
- Phelps III, F.M.¹ Hunter Jr., J.H.²

3
- 0040660442
- F. M. Phelps III and J. H. Hunter, Jr., "An analytic solution of the inverted pendulum," Am. J. Phys. 33, 285-295 (1965); 34, 533-535 (1966).
- (1966) Am. J. Phys. , vol.34 , pp. 533-535

4
- 0007447534
- Small oscillations of a stabilized, inverted pendulum
- Douglas J. Ness, "Small oscillations of a stabilized, inverted pendulum," Am. J. Phys. 35, 964-967 (1967).
- (1967) Am. J. Phys. , vol.35 , pp. 964-967
- Ness, D.J.¹

5
- 0035595759
- On the dynamic stabilization of an inverted pendulum
- Eugene I. Butikov, "On the dynamic stabilization of an inverted pendulum," Am. J. Phys. 69, 755-768 (2001).
- (2001) Am. J. Phys. , vol.69 , pp. 755-768
- Butikov, E.I.¹

6
- 33646645811
- A quick demonstration of the inverted pendulum
- Herbert Jones, "A quick demonstration of the inverted pendulum," Am. J. Phys. 37, 941 (1969).
- (1969) Am. J. Phys. , vol.37 , pp. 941
- Jones, H.¹

7
- 0003985181
- Saunders College Publishing, Philadelphia, 4th ed., Problem 7-16
- Jerry B. Marion and Stephen T. Thornton, Classical Mechanics of Particles and Systems (Saunders College Publishing, Philadelphia, 1995), 4th ed., Problem 7-16, p. 28.
- (1995) Classical Mechanics of Particles and Systems , pp. 28
- Marion, J.B.¹ Thornton, S.T.²

8
- 33646654371
- Benjamin Cummings, 3rd ed., Chap. 9, Problem 15
- Keith R. Symon, Mechanics (Benjamin Cummings, 1971), 3rd ed., Chap. 9, Problem 15, pp. 402-403.
- (1971) Mechanics , pp. 402-403
- Symon, K.R.¹

9
- 84862350096
- The UC Riverside driven inverted pendulum demonstration with A = 1.27 cm, ω = 188 rad s (30 Hz), L = 25 cm, and A = 1.75. 〈http://phyld.ucr. edu/Mechanics%20IV/M-17Q.htm〉.

10
- 0004245694
- Dover, New York
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), pp. 721-750.
- (1970) Handbook of Mathematical Functions , pp. 721-750
- Abramowitz, M.¹ Stegun, I.A.²

11
- 0000375455
- Chaos in the motion of an inverted pendulum: An undergraduate laboratory experiment
- B. Duchesne, C. W. Fischer, C. G. Gray, and K. R. Jeffrey, "Chaos in the motion of an inverted pendulum: An undergraduate laboratory experiment," Am. J. Phys. 59, 987-992 (1991).
- (1991) Am. J. Phys. , vol.59 , pp. 987-992
- Duchesne, B.¹ Fischer, C.W.² Gray, C.G.³ Jeffrey, K.R.⁴

12
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- Chaos in a computer-animated pendulum
- R. L. Kautz, "Chaos in a computer-animated pendulum," Am. J. Phys. 61, 407-415 (1993).
- (1993) Am. J. Phys. , vol.61 , pp. 407-415
- Kautz, R.L.¹

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