کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1861238 | 1037497 | 2015 | 6 صفحه PDF | دانلود رایگان |
• A sufficient condition for reaching a consensus.
• The relation between the geometry of networks and the reachability of a consensus.
• Stochastic local majority rule.
• The mean first-passage time and the escape rate of consensus states.
A sufficient condition for a network system to reach a consensus state of the local majority rule is shown. The influence of interpersonal environment on the occurrence probability of consensus states for Watts–Strogatz and scale-free networks with random initial states is analyzed by numerical method. We also propose a stochastic local majority rule to study the mean first passage time from a random state to a consensus and the escape rate from a consensus state for systems in a noisy environment. Our numerical results show that there exists a window of fluctuation strengths for which the mean first passage time from a random to a consensus state reduces greatly, and the escape rate of consensus states obeys the Arrhenius equation in the window.
Journal: Physics Letters A - Volume 379, Issue 8, 3 April 2015, Pages 761–766