Laplacian dynamics of convergent and divergent collective behaviors
Collective dynamics is ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A common feature of diverse collective behaviors is that the units exhibit either convergent or divergent evolution in thei...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | Journal of Physics: Complexity |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2632-072X/acd6cb |
| _version_ | 1797819775489933312 |
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| author | Yang Tian Yunhui Xu Pei Sun |
| author_facet | Yang Tian Yunhui Xu Pei Sun |
| author_sort | Yang Tian |
| collection | DOAJ |
| description | Collective dynamics is ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A common feature of diverse collective behaviors is that the units exhibit either convergent or divergent evolution in their behaviors, i.e. becoming increasingly similar or distinct, respectively. The associated dynamics changes across time, leading to complex consequences on a global scale. In this study, we propose a generalized Laplacian dynamics model to describe both convergent and divergent collective behaviors, where the trends of convergence and divergence compete with each other and jointly determine the evolution of global patterns. We empirically observe non-trivial phase-transition-like phenomena between the convergent and divergent evolution phases, which are controlled by local interaction properties. We also propose a conjecture regarding the underlying phase transition mechanisms and outline the main theoretical difficulties for testing this conjecture. Overall, our framework may serve as a minimal model of collective behaviors and their intricate dynamics. |
| first_indexed | 2024-03-13T09:28:35Z |
| format | Article |
| id | doaj.art-c9a8bfa132b94414aacef572c0303bc1 |
| institution | Directory Open Access Journal |
| issn | 2632-072X |
| language | English |
| last_indexed | 2024-03-13T09:28:35Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics: Complexity |
| spelling | doaj.art-c9a8bfa132b94414aacef572c0303bc12023-05-26T06:30:16ZengIOP PublishingJournal of Physics: Complexity2632-072X2023-01-014202501310.1088/2632-072X/acd6cbLaplacian dynamics of convergent and divergent collective behaviorsYang Tian0https://orcid.org/0000-0003-1970-0413Yunhui Xu1https://orcid.org/0009-0000-6185-1990Pei Sun2https://orcid.org/0000-0002-5938-8180Department of Psychology & Tsinghua Laboratory of Brain and Intelligence, Tsinghua University , Beijing 100084, People’s Republic of China; Laboratory of Advanced Computing and Storage, Central Research Institute , 2012 Laboratories, Huawei Technologies Co. Ltd, Beijing 100084, People’s Republic of ChinaDepartment of Physics, Tsinghua University , Beijing 100084, People’s Republic of ChinaDepartment of Psychology & Tsinghua Laboratory of Brain and Intelligence, Tsinghua University , Beijing 100084, People’s Republic of ChinaCollective dynamics is ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A common feature of diverse collective behaviors is that the units exhibit either convergent or divergent evolution in their behaviors, i.e. becoming increasingly similar or distinct, respectively. The associated dynamics changes across time, leading to complex consequences on a global scale. In this study, we propose a generalized Laplacian dynamics model to describe both convergent and divergent collective behaviors, where the trends of convergence and divergence compete with each other and jointly determine the evolution of global patterns. We empirically observe non-trivial phase-transition-like phenomena between the convergent and divergent evolution phases, which are controlled by local interaction properties. We also propose a conjecture regarding the underlying phase transition mechanisms and outline the main theoretical difficulties for testing this conjecture. Overall, our framework may serve as a minimal model of collective behaviors and their intricate dynamics.https://doi.org/10.1088/2632-072X/acd6cbcollective dynamicscomplex networksLaplacian dynamics |
| spellingShingle | Yang Tian Yunhui Xu Pei Sun Laplacian dynamics of convergent and divergent collective behaviors Journal of Physics: Complexity collective dynamics complex networks Laplacian dynamics |
| title | Laplacian dynamics of convergent and divergent collective behaviors |
| title_full | Laplacian dynamics of convergent and divergent collective behaviors |
| title_fullStr | Laplacian dynamics of convergent and divergent collective behaviors |
| title_full_unstemmed | Laplacian dynamics of convergent and divergent collective behaviors |
| title_short | Laplacian dynamics of convergent and divergent collective behaviors |
| title_sort | laplacian dynamics of convergent and divergent collective behaviors |
| topic | collective dynamics complex networks Laplacian dynamics |
| url | https://doi.org/10.1088/2632-072X/acd6cb |
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