Modular experimental setup for real‐time analysis of emergent behavior in networks of Chua's circuits

Abstract

This paper describes the design, realization and use of an analogical, fully reconfigurable experimental setup to analyze the complex dynamics of networks of chaotic circuits. It reports details of the implementation and characterization of the setup, together with representative results, showing its flexibility and potential. The setup allows to choose arbitrarily the coupling strength and interconnection structure among the circuits, the type of link and to select the parameters of the node dynamics. It has a modular structure, and it can accommodate up to 32 nodes interconnected by at most 32 links. The collective dynamics of a relatively large set of different network structures and configurations has been investigated using the setup. Synchronization, pattern formation and other interesting collective phenomena were observed experimentally, their evidence being reported here as an illustration of the potential of the proposed setup. Complex networks with linear diffusive coupling functionAs discussed at the beginning of this section, a complex network is mostly defined by the interconnection structure among its elementary dynamical units. As commonly done in the literature, 1552 M. DE MAGISTRIS ET AL.Figure 6. An example of synchronized chaotic dynamics for the case of 16 nodes, ring topology: (a) v C1 traces; (b) state plane v C1 -v C2 for each node; (c) synchronization diagrams v C11 -v C1k .

A Fast Reconfiguration Technique for Boost-Based DMPPT PV Systems Based on Deterministic Clustering Analysis

“…A basic scheme of a re figurable grid-connected PV system is shown in Figure 2. Like in complex networks topology of the network is dynamically changed using active switches to reach the chronization of the modules and power maximization [22][23][24][25]. These techniques h The classification includes the so-called "Hill Climbing", "Curve Fitting", "Dynamical" and "Machine Learning" MPPT techniques [10,[12][13][14].…”

“…A basic scheme of a reconfigurable grid-connected PV system is shown in Figure 2. Like in complex networks, the topology of the network is dynamically changed using active switches to reach the synchronization of the modules and power maximization [22][23][24][25]. These techniques have proved to be efficient in mismatching conditions, although they are relatively expensive since they require the use of reliable devices able to switch high Direct Currents (DCs) [21,26,27].…”

Computation of Electric and Magnetic Fields Generated by Cloud-to-Cloud Lightning Channels

“…Another example can be found in [27], in which the authors use the Circuit for Lightning Induced Voltage (CiLIV) software for the calculation of voltages induced in complex network configurations by tortuous cloud-toground lightning. However, the analytical expression of the fields can also be implemented in specific software in order to support the design of effective lightning protection systems or the sizing of electrical components and electrical devices such as cables, transformers, and PV panels [28][29][30][31][32][33][34]. Last, but not least, the knowledge of the fields could help to acquire new insights into the physical mechanism of lightning by including in the analysis not only the data related to cloud-to-ground phenomena but also those obtained from a much wider class of events that include cloud discharges.…”