Abstract
The purpose of this study is to show the chaotic features of rhythmic joint movement (elbow bending and stretching exercises) using a reconstructed phase portrait, fractal dimension, and first Lyapunov exponent. The subjects were seven male students who were right-handed. Depending on the experimental conditions, one (or both) elbow angle(s) was (were) measured by one (or two) goniometer(s). Single-forearm movements were recorded for the right arm and the left arm separately. After that, they performed in-phase movements with both arms followed by anti-phase movements. All sessions started with unpaced movements at a personal tempo and amplitude. This trial was followed by six trials that were paced by signals from a personal computer. Pacing was provided for six different frequencies (1, 2, 3, 4, 5, and 6 Hz) presented in random order. When the frequency of the pace increased, the fractal dimension and first Lyapunov exponent tended to increase. Moreover, the first Lyapunov exponent obtained positive values for all of the observed data. These results indicate that there is chaos in rhythmic joint movement and that the larger the frequency, the more chaotic the joint movement becomes.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IEEE International Conference on Systems, Man and Cybernetics |
| Pages | 40-45 |
| Number of pages | 6 |
| Volume | 1 |
| Publication status | Published - 2001 |
| Externally published | Yes |
| Event | 2001 IEEE International Conference on Systems, Man and Cybernetics - Tucson, AZ, United States Duration: Oct 7 2001 → Oct 10 2001 |
Other
| Other | 2001 IEEE International Conference on Systems, Man and Cybernetics |
|---|---|
| Country | United States |
| City | Tucson, AZ |
| Period | 10/7/01 → 10/10/01 |
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Keywords
- Chaotic analysis
- Fractal dimension
- Lyapunov exponent
- Rhythmic movement
ASJC Scopus subject areas
- Hardware and Architecture
- Control and Systems Engineering
Cite this
Chaotic features of rhythmic joint movement. / Iwase, Hirokazu; Murata, Atsuo.
Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 1 2001. p. 40-45.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Chaotic features of rhythmic joint movement
AU - Iwase, Hirokazu
AU - Murata, Atsuo
PY - 2001
Y1 - 2001
N2 - The purpose of this study is to show the chaotic features of rhythmic joint movement (elbow bending and stretching exercises) using a reconstructed phase portrait, fractal dimension, and first Lyapunov exponent. The subjects were seven male students who were right-handed. Depending on the experimental conditions, one (or both) elbow angle(s) was (were) measured by one (or two) goniometer(s). Single-forearm movements were recorded for the right arm and the left arm separately. After that, they performed in-phase movements with both arms followed by anti-phase movements. All sessions started with unpaced movements at a personal tempo and amplitude. This trial was followed by six trials that were paced by signals from a personal computer. Pacing was provided for six different frequencies (1, 2, 3, 4, 5, and 6 Hz) presented in random order. When the frequency of the pace increased, the fractal dimension and first Lyapunov exponent tended to increase. Moreover, the first Lyapunov exponent obtained positive values for all of the observed data. These results indicate that there is chaos in rhythmic joint movement and that the larger the frequency, the more chaotic the joint movement becomes.
AB - The purpose of this study is to show the chaotic features of rhythmic joint movement (elbow bending and stretching exercises) using a reconstructed phase portrait, fractal dimension, and first Lyapunov exponent. The subjects were seven male students who were right-handed. Depending on the experimental conditions, one (or both) elbow angle(s) was (were) measured by one (or two) goniometer(s). Single-forearm movements were recorded for the right arm and the left arm separately. After that, they performed in-phase movements with both arms followed by anti-phase movements. All sessions started with unpaced movements at a personal tempo and amplitude. This trial was followed by six trials that were paced by signals from a personal computer. Pacing was provided for six different frequencies (1, 2, 3, 4, 5, and 6 Hz) presented in random order. When the frequency of the pace increased, the fractal dimension and first Lyapunov exponent tended to increase. Moreover, the first Lyapunov exponent obtained positive values for all of the observed data. These results indicate that there is chaos in rhythmic joint movement and that the larger the frequency, the more chaotic the joint movement becomes.
KW - Chaotic analysis
KW - Fractal dimension
KW - Lyapunov exponent
KW - Rhythmic movement
UR - http://www.scopus.com/inward/record.url?scp=0035723567&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035723567&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0035723567
VL - 1
SP - 40
EP - 45
BT - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics
ER -