New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems
A new type of burst-oscillation mode (BOM) is reported for the first time, by extensively investigating the response dynamics of a one-dimensional (1D) paced excitable system with unidirectional coupling. The BOM state is an alternating transition between two distinct phases, i.e., the phase with mu...
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Frontiers Media S.A.
2022-03-01
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| Series: | Frontiers in Physiology |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphys.2022.854887/full |
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| author | Zhao Lei Zhao Lei Jiajing Liu Jiajing Liu Yaru Zhao Yaru Zhao Fei Liu Fei Liu Yu Qian Yu Qian Zhigang Zheng Zhigang Zheng Zhigang Zheng |
| author_facet | Zhao Lei Zhao Lei Jiajing Liu Jiajing Liu Yaru Zhao Yaru Zhao Fei Liu Fei Liu Yu Qian Yu Qian Zhigang Zheng Zhigang Zheng Zhigang Zheng |
| author_sort | Zhao Lei |
| collection | DOAJ |
| description | A new type of burst-oscillation mode (BOM) is reported for the first time, by extensively investigating the response dynamics of a one-dimensional (1D) paced excitable system with unidirectional coupling. The BOM state is an alternating transition between two distinct phases, i.e., the phase with multiple short spikes and the phase with a long interval. The realizable region and the unrealizable region for the evolution of BOM are identified, which is determined by the initial pulse number in the system. It is revealed that, in the realizable region, the initial inhomogeneous BOM will eventually evolve to the homogeneously distributed spike-oscillation mode (SOM), while it can maintain in the unrealizable region. Furthermore, several dynamical features of BOM and SOM are theoretically predicted and have been verified in numerical simulations. The mechanisms of the emergence of BOM are discussed in detail. It is revealed that three key factors, i.e., the linking time, the system length, and the local dynamics, can effectively modulate the pattern of BOM. Moreover, the suitable parameter region of the external pacing (A, f) that can produce the new type of BOM, has been explicitly revealed. These results may facilitate a deeper understanding of bursts in nature and will have a useful impact in related fields. |
| first_indexed | 2024-04-13T10:24:38Z |
| format | Article |
| id | doaj.art-fd9b3d8bbda44916a3f790534974bc86 |
| institution | Directory Open Access Journal |
| issn | 1664-042X |
| language | English |
| last_indexed | 2024-04-13T10:24:38Z |
| publishDate | 2022-03-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physiology |
| spelling | doaj.art-fd9b3d8bbda44916a3f790534974bc862022-12-22T02:50:22ZengFrontiers Media S.A.Frontiers in Physiology1664-042X2022-03-011310.3389/fphys.2022.854887854887New Burst-Oscillation Mode in Paced One-Dimensional Excitable SystemsZhao Lei0Zhao Lei1Jiajing Liu2Jiajing Liu3Yaru Zhao4Yaru Zhao5Fei Liu6Fei Liu7Yu Qian8Yu Qian9Zhigang Zheng10Zhigang Zheng11Zhigang Zheng12College of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, ChinaAdvanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji, ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, ChinaAdvanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji, ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, ChinaAdvanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji, ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, ChinaAdvanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji, ChinaCollege of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, ChinaAdvanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji, ChinaInstitute of Systems Science, Huaqiao University, Xiamen, ChinaSchool of Mathematical Sciences, Huaqiao University, Quanzhou, ChinaCollege of Information Science and Engineering, Huaqiao University, Xiamen, ChinaA new type of burst-oscillation mode (BOM) is reported for the first time, by extensively investigating the response dynamics of a one-dimensional (1D) paced excitable system with unidirectional coupling. The BOM state is an alternating transition between two distinct phases, i.e., the phase with multiple short spikes and the phase with a long interval. The realizable region and the unrealizable region for the evolution of BOM are identified, which is determined by the initial pulse number in the system. It is revealed that, in the realizable region, the initial inhomogeneous BOM will eventually evolve to the homogeneously distributed spike-oscillation mode (SOM), while it can maintain in the unrealizable region. Furthermore, several dynamical features of BOM and SOM are theoretically predicted and have been verified in numerical simulations. The mechanisms of the emergence of BOM are discussed in detail. It is revealed that three key factors, i.e., the linking time, the system length, and the local dynamics, can effectively modulate the pattern of BOM. Moreover, the suitable parameter region of the external pacing (A, f) that can produce the new type of BOM, has been explicitly revealed. These results may facilitate a deeper understanding of bursts in nature and will have a useful impact in related fields.https://www.frontiersin.org/articles/10.3389/fphys.2022.854887/fullburst-oscillation modeexcitable systemsnonlinear dynamcsspikescomplex networks |
| spellingShingle | Zhao Lei Zhao Lei Jiajing Liu Jiajing Liu Yaru Zhao Yaru Zhao Fei Liu Fei Liu Yu Qian Yu Qian Zhigang Zheng Zhigang Zheng Zhigang Zheng New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems Frontiers in Physiology burst-oscillation mode excitable systems nonlinear dynamcs spikes complex networks |
| title | New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems |
| title_full | New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems |
| title_fullStr | New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems |
| title_full_unstemmed | New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems |
| title_short | New Burst-Oscillation Mode in Paced One-Dimensional Excitable Systems |
| title_sort | new burst oscillation mode in paced one dimensional excitable systems |
| topic | burst-oscillation mode excitable systems nonlinear dynamcs spikes complex networks |
| url | https://www.frontiersin.org/articles/10.3389/fphys.2022.854887/full |
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