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1
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0039374911
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Simple experiments in chaotic dynamics
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K. Briggs, "Simple experiments in chaotic dynamics," Am. J. Phys. 55, 1083-1089 (1987).
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(1987)
Am. J. Phys.
, vol.55
, pp. 1083-1089
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Briggs, K.1
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2
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0040461353
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Driven pendulum for studying chaos
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J. A. Blackburn, S. Vik, B. Wu, and H. J. T. Smith, "Driven pendulum for studying chaos," Rev. Sci. Instrum. 60, 422-426 (1989).
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(1989)
Rev. Sci. Instrum.
, vol.60
, pp. 422-426
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Blackburn, J.A.1
Vik, S.2
Wu, B.3
Smith, H.J.T.4
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3
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33744651020
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The bipolar motor: A simple demonstration of deterministic chaos
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M. J. Ballico, M. L. Sawley, and F. Skiff, "The bipolar motor: A simple demonstration of deterministic chaos," Am. J. Phys. 58, 58-61 (1990).
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(1990)
Am. J. Phys.
, vol.58
, pp. 58-61
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Ballico, M.J.1
Sawley, M.L.2
Skiff, F.3
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4
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33744620757
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Measurements of the transient motion of a simple nonlinear system
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A. Ojha, S. Moon, B. Hoeling, and P. B. Siegel, "Measurements of the transient motion of a simple nonlinear system," Am. J. Phys. 59, 614-619 (1991).
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(1991)
Am. J. Phys.
, vol.59
, pp. 614-619
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Ojha, A.1
Moon, S.2
Hoeling, B.3
Siegel, P.B.4
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5
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0000375455
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Chaos in the motion of an inverted pendulum: An undergraduate laboratory experiment
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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).
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(1991)
Am. J. Phys.
, vol.59
, pp. 987-992
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Duchesne, B.1
Fischer, C.W.2
Gray, C.G.3
Jeffrey, K.R.4
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6
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21844496669
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Chaotic pendulum based on torsion and gravity in opposition
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R. D. Peters, "Chaotic pendulum based on torsion and gravity in opposition," Am. J. Phys. 63 (12), 1128-1136 (1995).
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(1995)
Am. J. Phys.
, vol.63
, Issue.12
, pp. 1128-1136
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Peters, R.D.1
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7
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33744646159
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Measurement of amplitude jumps and hysteresis in a driven inverted pendulum
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N. Alessi, C. W. Fischer, and C. G. Gray, "Measurement of amplitude jumps and hysteresis in a driven inverted pendulum," Am. J. Phys. 60, 755-756 (1992).
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(1992)
Am. J. Phys.
, vol.60
, pp. 755-756
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Alessi, N.1
Fischer, C.W.2
Gray, C.G.3
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9
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85033147937
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L. S. Starrett Co., Athol, MA, No. C305R
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L. S. Starrett Co., Athol, MA, No. C305R.
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10
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85033154426
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McMaster-Carr, New Brunswick, NJ, stock No. 5862K53
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McMaster-Carr, New Brunswick, NJ, stock No. 5862K53.
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11
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85033148975
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McMaster-Carr, New Brunswick, NJ, stock No. 8495K85
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McMaster-Carr, New Brunswick, NJ, stock No. 8495K85.
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12
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85033130366
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Thor Labs, Newton, NJ, stock No. FAS150
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Thor Labs, Newton, NJ, stock No. FAS150.
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13
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85033135528
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Omega Engineering, Stamford, CT, stock No. SG-3/1000-DY41
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Omega Engineering, Stamford, CT, stock No. SG-3/1000-DY41.
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14
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85033144861
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Model No: INA101, Burr-Brown Corp., Tucson, AZ. Available from, e.g., Digi-Key Corp., Thief River Falls, MN
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Model No: INA101, Burr-Brown Corp., Tucson, AZ. Available from, e.g., Digi-Key Corp., Thief River Falls, MN.
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15
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84871575556
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Norwood, MA. Available from, e.g., Allied Electronics, Forth Worth, TX
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Analog Devices, Norwood, MA. Available from, e.g., Allied Electronics, Forth Worth, TX.
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Analog Devices
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16
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85033129560
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note
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Hewlett-Packard model No. 3325A. This generator was chosen for convenience. Any signal source with resolution and reproducibility of 1 mHz and 1 mV would be sufficient. Because the oscillator acts as a low pass filter with a corner frequency at about 0.2 Hz, requirements on harmonic distortion are more modest.
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17
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0043036027
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The variational approach to the theory of subharmonic bifurcations
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N. Takimoto and H. Yamashida, "The variational approach to the theory of subharmonic bifurcations," Physica D 26, 251-276 (1987).
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(1987)
Physica D
, vol.26
, pp. 251-276
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Takimoto, N.1
Yamashida, H.2
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18
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0002597285
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Forced two well potential Duffing oscillator
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edited by F. M. A. Salam and M. Levi SIAM, Philadelphia
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Y. Ueda, H. Nakamima, T. Hikihara, and H. B. Stewart, "Forced two well potential Duffing oscillator," in Dynamical Approaches to Nonlinear Problems in Systems and Circuits, edited by F. M. A. Salam and M. Levi (SIAM, Philadelphia, 1988), pp. 128-137.
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(1988)
Dynamical Approaches to Nonlinear Problems in Systems and Circuits
, pp. 128-137
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Ueda, Y.1
Nakamima, H.2
Hikihara, T.3
Stewart, H.B.4
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19
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33744695373
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Numerical versus analytical conditions for chaos, using the example of the duffing oscillator
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J. Awrejcewicz, "Numerical versus analytical conditions for chaos, using the example of the duffing oscillator," J. Phys. Soc. Jpn. 60, 785-788 (1991).
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(1991)
J. Phys. Soc. Jpn.
, vol.60
, pp. 785-788
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Awrejcewicz, J.1
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20
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0009809703
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Studying chaotic systems using microcomputer simulations and Lyapunov exponents
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S. De Souza-Machado, R. W. Rollins, D. T. Jacobs, and J. L. Hartman, "Studying chaotic systems using microcomputer simulations and Lyapunov exponents," Am. J. Phys. 58, 321-329 (1990).
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(1990)
Am. J. Phys.
, vol.58
, pp. 321-329
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De Souza-Machado, S.1
Rollins, R.W.2
Jacobs, D.T.3
Hartman, J.L.4
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21
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0007320982
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Dynamical symmetry breaking and chaos in Duffing's equation
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C. L. Olson and M. G. Olsson, "Dynamical symmetry breaking and chaos in Duffing's equation," Am. J. Phys. 59, 907-911 (1991).
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(1991)
Am. J. Phys.
, vol.59
, pp. 907-911
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Olson, C.L.1
Olsson, M.G.2
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22
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85033142509
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Thornton Associates, Boston, MA
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MacScope, Thornton Associates, Boston, MA.
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MacScope
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25
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0008494528
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Determining Lyapunov exponents from a time series
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A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining Lyapunov exponents from a time series," Physica D 16, 285-317 (1985).
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(1985)
Physica D
, vol.16
, pp. 285-317
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Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
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26
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85033151536
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Thanks to M. D. Sturge for this biological analogy
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Thanks to M. D. Sturge for this biological analogy.
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