Applicability of feed-forward and recurrent neural networks to Boolean function complexity modeling
Expert Systems with Applications: An International Journal
Scalar equations for synchronous Boolean networks with biological applications
IEEE Transactions on Neural Networks
Self-Organizing and Self-Evolving Neurons: A New Neural Network for Optimization
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Global Convergence and Limit Cycle Behavior of Weights of Perceptron
IEEE Transactions on Neural Networks
Realization of Boolean control networks
Automatica (Journal of IFAC)
State-space analysis of Boolean networks
IEEE Transactions on Neural Networks
Brief paper: Controllability of Boolean control networks with time delays in states
Automatica (Journal of IFAC)
Identification of Boolean control networks
Automatica (Journal of IFAC)
Brief paper: Controllability of probabilistic Boolean control networks
Automatica (Journal of IFAC)
Brief paper: Controllability of Boolean control networks via the Perron-Frobenius theory
Automatica (Journal of IFAC)
Controller design for disturbance decoupling of Boolean control networks
Automatica (Journal of IFAC)
International Journal of Data Mining and Bioinformatics
Observability of Boolean networks: A graph-theoretic approach
Automatica (Journal of IFAC)
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This paper investigates the structure of Boolean networks via input-state structure. Using the algebraic form proposed by the author, the logic-based input-state dynamics of Boolean networks, called the Boolean control networks, is converted into an algebraic discrete-time dynamic system. Then the structure of cycles of Boolean control systems is obtained as compounded cycles. Using the obtained input-state description, the structure of Boolean networks is investigated, and their attractors are revealed as nested compounded cycles, called rolling gears. This structure explains why small cycles mainly decide the behaviors of cellular networks. Some illustrative examples are presented.