Temporal, structural, and functional heterogeneities extend criticality and antifragility in random Boolean networks
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866912774526861312 |
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| author | López-Díaz, Amahury Jafet Sánchez-Puig, Fernanda Gershenson, Carlos |
| author_facet | López-Díaz, Amahury Jafet Sánchez-Puig, Fernanda Gershenson, Carlos |
| contents | Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger, stronger, or faster than others. In homogeneous systems, criticality -- a balance between change and stability, order and chaos -- is usually found for a very narrow region in the parameter space, close to a phase transition. Using random Boolean networks -- a general model of discrete dynamical systems -- we show that heterogeneity -- in time, structure, and function -- can broaden additively the parameter region where criticality is found. Moreover, parameter regions where antifragility is found are also increased with heterogeneity. However, maximum antifragility is found for particular parameters in homogeneous networks. Our work suggests that the "optimal" balance between homogeneity and heterogeneity is non-trivial, context-dependent, and in some cases, dynamic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_07505 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Temporal, structural, and functional heterogeneities extend criticality and antifragility in random Boolean networks López-Díaz, Amahury Jafet Sánchez-Puig, Fernanda Gershenson, Carlos Adaptation and Self-Organizing Systems Discrete Mathematics Information Theory Dynamical Systems Quantitative Methods Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger, stronger, or faster than others. In homogeneous systems, criticality -- a balance between change and stability, order and chaos -- is usually found for a very narrow region in the parameter space, close to a phase transition. Using random Boolean networks -- a general model of discrete dynamical systems -- we show that heterogeneity -- in time, structure, and function -- can broaden additively the parameter region where criticality is found. Moreover, parameter regions where antifragility is found are also increased with heterogeneity. However, maximum antifragility is found for particular parameters in homogeneous networks. Our work suggests that the "optimal" balance between homogeneity and heterogeneity is non-trivial, context-dependent, and in some cases, dynamic. |
| title | Temporal, structural, and functional heterogeneities extend criticality and antifragility in random Boolean networks |
| topic | Adaptation and Self-Organizing Systems Discrete Mathematics Information Theory Dynamical Systems Quantitative Methods |
| url | https://arxiv.org/abs/2209.07505 |