On a test statistic for the Kuramoto order parameter of synchronization: An illustration for group synchronization during rocking chairs

Frank, T. D.; Richardson, Michael J.

doi:10.1016/j.physd.2010.07.015

Cited by 60 publications

(68 citation statements)

References 35 publications

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“…To do so, we used the cluster-phase method (Frank & Richardson, 2010;Richardson, Garcia, Frank, Gergor, & Marsh, 2012). This method quantifies rho (a measure of group synchrony Fig.…”

Section: Peak Height Differencesmentioning

confidence: 99%

Entrainment and task co-representation effects for discrete and continuous action sequences

Wel

2015

Psychon Bull Rev

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A large body of work has established an influence of other people's actions on our own actions. For example, actors entrain to the movements of others, in studies that typically employ continuous movements. Likewise, studies on co-representation have shown that people automatically corepresent a co-actor's task, in studies that typically employ discrete actions. Here we examined entrainment and corepresentation within a single task paradigm. Participants sat next to a confederate while simultaneously moving their right hand back and forth between two targets. We crossed whether or not the participant and the confederate moved over an obstacle and manipulated whether participants generated discrete or continuous movement sequences, while varying the space between the actors and whether the actors could see each other's movements. Participants moved higher when the confederate cleared an obstacle than when he did not. For continuous movements, this effect depended on the availability of visual information, as would be expected on the basis of entrainment. In contrast, the co-actor's task modulated the height of discrete movements, regardless of the availability of visual information, which is consistent with co-representation. Space did not have an effect. These results provide new insights into the interplay between co-representation and entrainment for discrete-and continuous-action tasks.

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“…To do so, we used the cluster-phase method (Frank & Richardson, 2010;Richardson, Garcia, Frank, Gergor, & Marsh, 2012). This method quantifies rho (a measure of group synchrony Fig.…”

Section: Peak Height Differencesmentioning

confidence: 99%

Entrainment and task co-representation effects for discrete and continuous action sequences

Wel

2015

Psychon Bull Rev

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“…Second, how can one effectively measure the degree to which the movements of any one individual in the group are synchronized to the movements of a group as a whole? Here, we address these questions by adapting and testing a cluster phase method recently proposed by Frank and Richardson (2010). The method is based on the Kuramoto order parameter 1 (Kuramoto, 1984, 1989), which has been used previously to examine the phase synchronization of many-body systems (e.g., a large set of oscillators), such as the synchronized firefly flashing and chirping of crickets, (see Strogatz, 2000, for a review), and synchronized applause (Néda et al, 2000a,b).…”

mentioning

confidence: 99%

Measuring group synchrony: a cluster-phase method for analyzing multivariate movement time-series

Richardson¹,

Garcia²,

Frank³

et al. 2012

Front. Physio.

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A new method for assessing group synchrony is introduced as being potentially useful for objectively determining degree of group cohesiveness or entitativity. The cluster-phase method of Frank and Richardson (2010) was used to analyze movement data from the rocking chair movements of six-member groups who rocked their chairs while seated in a circle facing the center. In some trials group members had no information about others' movements (their eyes were shut) or they had their eyes open and gazed at a marker in the center of the group. As predicted, the group level synchrony measure was able to distinguish between situations where synchrony would have been possible and situations where it would be impossible. Moreover, other aspects of the analysis illustrated how the cluster phase measures can be used to determine the type of patterning of group synchrony, and, when integrated with multi-level modeling, can be used to examine individual-level differences in synchrony and dyadic level synchrony as well.

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“…We can postulate a hybrid dynamical system that simulates decision making and/or intelligence [13], [14], [31]. Additionally, human movements are self-organized with robust autonomy not only in individuals but also in populations [20]–[22], [25], [27]. Joint action syntax, derived from hybrid dynamical system, is common and essential in nature from the level of neuronal activity to that of the activities of daily living.…”

Section: Discussionmentioning

confidence: 99%

“…Interpersonal coordination has also been studied in terms of the coupling between two oscillators using visual information based on this model [21]–[23]. For example, synchronization among six people during the swinging of rocking chairs was examined using the Kuramoto order parameter [24], [25]. Synchronized patterns among three people who communicated via perceptual information during sports activities was also confirmed based on the coupled-oscillators approach derived from symmetric Hopf bifurcation group theory [26], [27].…”

Section: Introductionmentioning

confidence: 99%

Joint Action Syntax in Japanese Martial Arts

et al. 2013

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Participation in interpersonal competitions, such as fencing or Japanese martial arts, requires players to make instantaneous decisions and execute appropriate motor behaviors in response to various situations. Such actions can be understood as complex phenomena emerging from simple principles. We examined the intentional switching dynamics associated with continuous movement during interpersonal competition in terms of their emergence from a simple syntax. Linear functions on return maps identified two attractors as well as the transitions between them. The effects of skill differences were evident in the second- and third-order state-transition diagrams for these two attractors. Our results suggest that abrupt switching between attractors is related to the diverse continuous movements resulting from quick responses to sudden changes in the environment. This abrupt-switching-quick-response behavior is characterized by a joint action syntax. The resulting hybrid dynamical system is composed of a higher module with discrete dynamics and a lower module with continuous dynamics. Our results suggest that intelligent human behavior and robust autonomy in real-life scenarios are based on this hybrid dynamical system, which connects interpersonal coordination and competition.

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On a test statistic for the Kuramoto order parameter of synchronization: An illustration for group synchronization during rocking chairs

Cited by 60 publications

References 35 publications

Entrainment and task co-representation effects for discrete and continuous action sequences

Entrainment and task co-representation effects for discrete and continuous action sequences

Measuring group synchrony: a cluster-phase method for analyzing multivariate movement time-series

Joint Action Syntax in Japanese Martial Arts

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