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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Aging and percolation dynamics in a Non-Poissonian temporal network model
Antoine Moinet1,2, Michele Starnini3, Romualdo Pastor-Satorras1
1Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain.
Physical Review. E
|September 15, 2016
Summary
This study mathematically analyzes the Non-Poissonian Activity Driven (NoPAD) model, revealing how aging effects in temporal networks influence their structure and connectivity. Our findings provide insights into the degree distribution and percolation thresholds of social interactions.
Area of Science:
- Complex Systems
- Network Science
- Statistical Physics
Background:
- Social interactions exhibit bursty, non-Poissonian dynamics.
- Temporal network models are crucial for understanding dynamic systems.
- Aging effects in networks can significantly alter topological properties.
Purpose of the Study:
- To conduct a mathematical analysis of the Non-Poissonian Activity Driven (NoPAD) model.
- To investigate aging effects on temporal network topology, specifically degree distribution.
- To analyze percolation processes in NoPAD networks and their dependence on aging.
Main Methods:
- Derivation of analytic expressions for degree distribution in time-integrated networks.
- Analysis of vanishing and strong aging limits.
- Computation of percolation thresholds for giant connected components.
- Validation through extensive numerical simulations of the NoPAD model.
Main Results:
- Analytic formulas for degree distribution as a function of time were derived.
- Aging significantly impacts the topological properties of integrated networks.
- The percolation threshold demonstrates a clear dependence on aging effects.
Conclusions:
- The NoPAD model accurately captures bursty social interactions.
- Aging is a critical factor influencing network structure and function.
- Analytical predictions align with simulation results, validating the model's behavior.
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