Emergence of (bi)multi-partiteness in networks having inhibitory and excitatory couplings
1 Complex Systems Lab, Physics Discipline, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore 452020, India
2 Center for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore - Khandwa Road, Simrol, Indore 452020, India
Received: 3 July 2015
Accepted: 13 November 2015
(Bi)multi-partite interaction patterns are observed frequently in real-world systems which have inhibitory and excitatory couplings. We hypothesize these structural interaction patterns to be stable and naturally arising in the course of evolution. We demonstrate that a random structure evolves to a (bi)multi-partite structure by imposing stability criterion through minimization of the largest eigenvalue in the genetic algorithm devised on the interacting units having inhibitory and excitatory couplings. The evolved interaction patterns are robust against changes in the initial network architecture as well as against fluctuations in the interaction weights.
PACS: 89.75.Hc – Networks and genealogical trees / 02.10.Yn – Matrix theory
© EPLA, 2015