Feedback percolation on complex networks
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908918807003136 |
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| author | Jang, Hoseung Bianconi, Ginestra Min, Byungjoon |
| author_facet | Jang, Hoseung Bianconi, Ginestra Min, Byungjoon |
| contents | Traditional percolation theory assumes static microscopic rules, limiting its ability to describe real-world complex systems where macroscopic order actively regulates local interactions. Here, we introduce feedback percolation, an unified framework that dynamically couples the microscopic activation probability to the macroscopic size of the giant component. We show that this simple feedback mechanism produces a rich variety of behaviors both analytically and numerically. Depending on the feedback functions, the system exhibits explosive discontinuous jumps, hybrid transitions, limit-cycle oscillations, and routes to chaos, absent in classical percolation. Our findings establish that macroscopic feedback provides a unifying physical mechanism for phenomena ranging from self-regulating oscillations to systemic infrastructure collapse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22089 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Feedback percolation on complex networks Jang, Hoseung Bianconi, Ginestra Min, Byungjoon Statistical Mechanics Disordered Systems and Neural Networks Adaptation and Self-Organizing Systems Physics and Society Traditional percolation theory assumes static microscopic rules, limiting its ability to describe real-world complex systems where macroscopic order actively regulates local interactions. Here, we introduce feedback percolation, an unified framework that dynamically couples the microscopic activation probability to the macroscopic size of the giant component. We show that this simple feedback mechanism produces a rich variety of behaviors both analytically and numerically. Depending on the feedback functions, the system exhibits explosive discontinuous jumps, hybrid transitions, limit-cycle oscillations, and routes to chaos, absent in classical percolation. Our findings establish that macroscopic feedback provides a unifying physical mechanism for phenomena ranging from self-regulating oscillations to systemic infrastructure collapse. |
| title | Feedback percolation on complex networks |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Adaptation and Self-Organizing Systems Physics and Society |
| url | https://arxiv.org/abs/2603.22089 |