Forced synchronization of autonomous dynamical Boolean networks
Abstract
We present the design of an autonomous time-delay Boolean network realized with readily available electronic components. Through simulations and experiments that account for the detailed nonlinear response of each circuit element, we demonstrate that a network with five Boolean nodes displays complex behavior. Furthermore, we show that the dynamics of two identical networks display near-instantaneous synchronization to a periodic state when forced by a common periodic Boolean signal. A theoretical analysis of the network reveals the conditions under which complex behavior is expected in an individual network and the occurrence of synchronization in the forced networks. This research will enable future experiments on autonomous time-delay networks using readily available electronic components with dynamics on a slow enough time-scale so that inexpensive data collection systems can faithfully record the dynamics.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 01, 2015
- Source ID
- 10.1063/1.4928739
Entities
People
- Daniel J Gauthier
- E. Campos-cantón
- I. Campos-cantón
- Roberto R. Rivera-Durón
Organizations
- Autonomous University of San Luis Potosí
- Consejo Nacional de Humanidades, Ciencias y Tecnologías
- Duke University
- Instituto Potosino de Investigación Científica y Tecnológica
- United States Army