Abstract
Identifying the behavior patterns is the main goal for a dynamical system. It provides the useful information in behavior prediction of a dynamical system. On the other hand, measuring the orderliness of a dynamical system improves the prediction of behavior patterns. In this study, substitution sequences are used to model the long-term correlation of a dynamical system and evaluate the degree of randomness, where the degree of homogeneity is evaluated by the spanning tree invariant. The results show that the more contiguous patterns the sequence has, the smaller the value of the spanning tree invariant is. In fact, the spanning tree invariant can be an effective tool to measure the orderliness of sequences by comparing the computed value with the value of one.
| Original language | English |
|---|---|
| Pages (from-to) | 1011-1023 |
| Number of pages | 13 |
| Journal | Quality and Quantity |
| Volume | 43 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2009 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Social Sciences(all)
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Finding behavior patterns and evaluating orderliness of dynamical systems by spanning tree invariants. / Shieh, Jiunn I.; Wu, Hsin-Hung; Yang, Wei Zu.
In: Quality and Quantity, Vol. 43, No. 6, 01.09.2009, p. 1011-1023.Research output: Contribution to journal › Article
TY - JOUR
T1 - Finding behavior patterns and evaluating orderliness of dynamical systems by spanning tree invariants
AU - Shieh, Jiunn I.
AU - Wu, Hsin-Hung
AU - Yang, Wei Zu
PY - 2009/9/1
Y1 - 2009/9/1
N2 - Identifying the behavior patterns is the main goal for a dynamical system. It provides the useful information in behavior prediction of a dynamical system. On the other hand, measuring the orderliness of a dynamical system improves the prediction of behavior patterns. In this study, substitution sequences are used to model the long-term correlation of a dynamical system and evaluate the degree of randomness, where the degree of homogeneity is evaluated by the spanning tree invariant. The results show that the more contiguous patterns the sequence has, the smaller the value of the spanning tree invariant is. In fact, the spanning tree invariant can be an effective tool to measure the orderliness of sequences by comparing the computed value with the value of one.
AB - Identifying the behavior patterns is the main goal for a dynamical system. It provides the useful information in behavior prediction of a dynamical system. On the other hand, measuring the orderliness of a dynamical system improves the prediction of behavior patterns. In this study, substitution sequences are used to model the long-term correlation of a dynamical system and evaluate the degree of randomness, where the degree of homogeneity is evaluated by the spanning tree invariant. The results show that the more contiguous patterns the sequence has, the smaller the value of the spanning tree invariant is. In fact, the spanning tree invariant can be an effective tool to measure the orderliness of sequences by comparing the computed value with the value of one.
UR - http://www.scopus.com/inward/record.url?scp=76349085653&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=76349085653&partnerID=8YFLogxK
U2 - 10.1007/s11135-008-9172-0
DO - 10.1007/s11135-008-9172-0
M3 - Article
AN - SCOPUS:76349085653
VL - 43
SP - 1011
EP - 1023
JO - Quality and Quantity
JF - Quality and Quantity
SN - 0033-5177
IS - 6
ER -