In view of the superiority of memristors in strengthening dynamical complexity and the significant application potiential of multiscroll chaos, this paper attempts to introduce two memristors with scalable memductances into simple seed chaotic system for designing multiscroll memristive chaotic system (MMCS). The designed MMCS yields hidden grid multiscroll chaotic attractors with any number of scrolls expanding along with the internal variables of memristors. By varying the parameters, the multiscroll attractors can be broken into coexisting attractors with different numbers and scrolls dependent on parameters, and their oscillation amplitudes can be increased (or decreased) without changing the chaotic features. Dynamical analysis and circuit implementation are given to reveal the complexity and feasibility of the MMCS. The fixed-time synchronization (FxTS) is studied by using adaptive controller and the sufficient condition for FxTS is established via Lyapunov stability theory (LST). A multilevel secure communication scheme based on the FxTS of MMCS is designed and the experimental tests on the image, audio and data secure communication verify its effectiveness, which to some extent shows the application availability of MMCS.

The realization of integrated devices determines unavoidable imperfections which are linked to the manufacturing process, thus making them imperfect systems. Imperfection is not always detrimental, as it can lead to unexpected complex and organized behaviors. In this paper we explore the possibility of designing imperfect electronic circuits producing a chaotic flow with bandwidth up to the order to several megahertz thanks to the hidden dynamics induced by construction imperfections, and whose characteristics can be tuned by means of a single variable resistor, acting as bifurcation parameter. Moreover, a strategy to estimate the parameters of the hidden dynamics is devised and the synchronization of imperfect chaotic circuits is shown. The paper further remarks that imperfection can play an important role in the realization of robust chaos generators based on simple circuits.

The features of the main models of spiking neurons are discussed in this review. We focus on the dynamical behaviors of five paradigmatic spiking neuron models and present recent literature studies on the topic, classifying the contributions based on the most-studied items. The aim of this review is to provide the reader with fundamental details related to spiking neurons from a dynamical systems point-of-view.

Power electronic modules are realized by integrating several semiconductor chips inside one package. In this paper, a new thermal modeling procedure and its application to a power electronic module are presented. The adopted modeling strategy consists of the derivation of numerical thermal impedances by 3-D finite element models, validated by comparison with available experimental data, and of the coefficients identification of the RC passive network, through a specific topology, here introduced, to obtain a lumped parameter model of the thermal behavior of the module.

This work deals with nonautonomous chaotic circuits and, in particular, with the experimental characterization of the synchronization properties of two simple nonautonomous circuits. Two single-transistor chaotic circuits, which are among the simplest chaotic oscillators, are investigated. We studied synchronization of these circuits and found that the most appropriate technique to synchronize two single-transistor chaotic circuits is that based on the design of an inverse circuit.