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Title: A positive role of multiplicative noise on the emergence of flocking in a stochastic Cucker-Smale system

In this article, we investigate the flocking of a stochastic Cucker-Smale system with multiplicative measurement noise. We show that there is a noise strength, below which the flocking occurs and the convergence time is a decreasing function of noise strength. Specifically, we find a power-law relationship between the convergence time and the density of group. We also investigate the influence of control parameter and an optimal value is found that minimizes the convergence time.
Authors:
 [1] ;  [2]
  1. School of Science, China University of Mining and Technology, Xuzhou 221008 (China)
  2. School of Mathematical Sciences, LMNS, and Shanghai Key Laboratory of Data Science, Fudan University, Shanghai 200433 (China)
Publication Date:
OSTI Identifier:
22482316
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTROL; CONVERGENCE; DENSITY; FUNCTIONS; NOISE; STOCHASTIC PROCESSES