Co-evolution of a network and the dynamical processes occurring on it

2015 Fiscal Year Final Research Report

• Project/Area Number: 24740266
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kagawa University
• Principal Investigator: Aoki Takaaki 香川大学, 教育学部, 准教授 (30553284)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: ネットワーク科学 / Adaptive network / complex network

Outline of Final Research Achievements

Real-world networks are not static, but continuously change to meet the evolving needs of society. To know where the networks will change, we need to understand the nature of changing networks, in which the reformation of the networks and the dynamical processes occurring on the network are interdependent. To understand the mechanisms governing such dynamical organization, we proposed a simple model of co-evolving network dynamics, combining the dynamics of random walkers and the dynamics of the weighted network. We found that under suitable conditions, the density of walkers and the link weights converge to stationary power-law distributions at the macroscopic level, but they continue to change with time at the microscopic level, even though the dynamics of the proposed model is completely deterministic. We numerically and theoretically analyzed the equilibrium states from perspective of the dynamical system and found that the system has multi-stability including chaotic states.

Free Research Field

非線形力学、ネットワーク科学