|Design of Large-scale Boolean Networks Based on Prescribed Attractors
Jinfeng Pan, Jun-e Feng*, Min Meng, and Jianli Zhao
International Journal of Control, Automation, and Systems, vol. 16, no. 3, pp.1120-1128, 2018
Abstract : "In this paper, the problem of designing large-scale Boolean networks with prescribed attractors is considered.
The obtained Boolean networks satisfy the attractor constraints, as well as that the size of the basins of
attraction (BOAs) of desired attractors is at its maximum. This is achieved by network aggregation, under which
desired attractors and undesired attractors can be mapped to input-state cycles in the subnetworks. The input-state
cycles corresponding to desired attractors must be contained in subnetworks, and for each undesired attractor at
least one input-state cycle is not contained. An algorithm is proposed to maximize the size of the BOAs of desired
attractors. Finally, a practical example is given to illustrate the effectiveness of the proposed methods."
Attractor, large-scale Boolean network, network aggregation, semi-tensor product.