Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions
Most human actions are composed of two fundamental movement types, discrete and rhythmic movements. These movement types, or primitives, are analogous to the two elemental behaviors of nonlinear dynamical systems, namely, fixed-point and limit cycle behavior, respectively. Furthermore, there is now...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-08-01
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| Series: | Brain Sciences |
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| Online Access: | https://www.mdpi.com/2076-3425/10/8/536 |
| _version_ | 1797559388198666240 |
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| author | Gaurav Patil Patrick Nalepka Rachel W. Kallen Michael J. Richardson |
| author_facet | Gaurav Patil Patrick Nalepka Rachel W. Kallen Michael J. Richardson |
| author_sort | Gaurav Patil |
| collection | DOAJ |
| description | Most human actions are composed of two fundamental movement types, discrete and rhythmic movements. These movement types, or primitives, are analogous to the two elemental behaviors of nonlinear dynamical systems, namely, fixed-point and limit cycle behavior, respectively. Furthermore, there is now a growing body of research demonstrating how various human actions and behaviors can be effectively modeled and understood using a small set of low-dimensional, fixed-point and limit cycle dynamical systems (differential equations). Here, we provide an overview of these <i>dynamical motor</i><i>primitives</i> and detail recent research demonstrating how these dynamical primitives can be used to model the task dynamics of complex multiagent behavior. More specifically, we review how a task-dynamic model of multiagent shepherding behavior, composed of rudimentary fixed-point and limit cycle dynamical primitives, can not only effectively model the behavior of cooperating human co-actors, but also reveals how the discovery and intentional use of optimal behavioral coordination during task learning is marked by a spontaneous, self-organized transition between fixed-point and limit cycle dynamics (i.e., via a Hopf bifurcation). |
| first_indexed | 2024-03-10T17:44:39Z |
| format | Article |
| id | doaj.art-3227fb6a9bd04df295b4344a5df48016 |
| institution | Directory Open Access Journal |
| issn | 2076-3425 |
| language | English |
| last_indexed | 2024-03-10T17:44:39Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Brain Sciences |
| spelling | doaj.art-3227fb6a9bd04df295b4344a5df480162023-11-20T09:34:33ZengMDPI AGBrain Sciences2076-34252020-08-0110853610.3390/brainsci10080536Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral TransitionsGaurav Patil0Patrick Nalepka1Rachel W. Kallen2Michael J. Richardson3Department of Psychology, Centre for Elite Performance, Expertise and Training, Faculty of Medicine, Health and Human Sciences, Macquarie University, Sydney, NSW 2109, AustraliaDepartment of Psychology, Centre for Elite Performance, Expertise and Training, Faculty of Medicine, Health and Human Sciences, Macquarie University, Sydney, NSW 2109, AustraliaDepartment of Psychology, Centre for Elite Performance, Expertise and Training, Faculty of Medicine, Health and Human Sciences, Macquarie University, Sydney, NSW 2109, AustraliaDepartment of Psychology, Centre for Elite Performance, Expertise and Training, Faculty of Medicine, Health and Human Sciences, Macquarie University, Sydney, NSW 2109, AustraliaMost human actions are composed of two fundamental movement types, discrete and rhythmic movements. These movement types, or primitives, are analogous to the two elemental behaviors of nonlinear dynamical systems, namely, fixed-point and limit cycle behavior, respectively. Furthermore, there is now a growing body of research demonstrating how various human actions and behaviors can be effectively modeled and understood using a small set of low-dimensional, fixed-point and limit cycle dynamical systems (differential equations). Here, we provide an overview of these <i>dynamical motor</i><i>primitives</i> and detail recent research demonstrating how these dynamical primitives can be used to model the task dynamics of complex multiagent behavior. More specifically, we review how a task-dynamic model of multiagent shepherding behavior, composed of rudimentary fixed-point and limit cycle dynamical primitives, can not only effectively model the behavior of cooperating human co-actors, but also reveals how the discovery and intentional use of optimal behavioral coordination during task learning is marked by a spontaneous, self-organized transition between fixed-point and limit cycle dynamics (i.e., via a Hopf bifurcation).https://www.mdpi.com/2076-3425/10/8/536multiagent coordinationHopf-bifurcationdynamical motor primitivesbehavioral dynamicstask dynamicsshepherding dynamics |
| spellingShingle | Gaurav Patil Patrick Nalepka Rachel W. Kallen Michael J. Richardson Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions Brain Sciences multiagent coordination Hopf-bifurcation dynamical motor primitives behavioral dynamics task dynamics shepherding dynamics |
| title | Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions |
| title_full | Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions |
| title_fullStr | Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions |
| title_full_unstemmed | Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions |
| title_short | Hopf Bifurcations in Complex Multiagent Activity: The Signature of Discrete to Rhythmic Behavioral Transitions |
| title_sort | hopf bifurcations in complex multiagent activity the signature of discrete to rhythmic behavioral transitions |
| topic | multiagent coordination Hopf-bifurcation dynamical motor primitives behavioral dynamics task dynamics shepherding dynamics |
| url | https://www.mdpi.com/2076-3425/10/8/536 |
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