Active Ultra Wideband Wireless Networks Usage for Modelling Ensembles of Nonlinear Continuous Time Dynamical Systems

Abstract

The paper deals with a new multi-element processor platform assigned for modelling the behaviour of interacting dynamical systems, i.e., active wireless network. In the modelling process each dynamical system is associated with a node of the active network. A computing device (microcontroller) placed on this node integrates equations of the dynamical system. Interaction between the dynamical systems is achieved by means of transmitting information on the state of the system via radio channels between active network nodes. The platform capabilities are demonstrated on example of an ensemble of Kuramoto oscillators. Experimentally, this ensemble is implemented in an active network, the active nodes of which include direct chaotic transceivers and special actuator boards containing microcontrollers for modelling the dynamical systems and an information display unit (colored LEDs). The modelling technique and experimental results are described and analyzed.