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Entropy
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Nonlinear Systems, Complex Dynamics, and Entropy in Electrical Engineering
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Nonlinear Systems, Complex Dynamics, and Entropy in Electrical Engineering

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Complexity".

Deadline for manuscript submissions: closed (20 February 2024) | Viewed by 3165

Special Issue Editor

Dr. Jiří Petržela

E-Mail Website
Guest Editor
Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech Republic
Interests: analog circuits; computer-aided circuit analysis; chaos theory; nonlinear dynamics; oscillators; frequency filters; numerical methods in electronics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue welcomes all papers (regular articles, reviews, and short communications) focused on the analysis of electronic systems from the perspective of complex and unpredictable behavior. Investigated circuits can be either autonomous or driven, either lumped or with spread parameters, having conventional structure or artificially designed to generate waveforms with entropic properties. This topic comprises the mathematical modeling of electronic systems (by integer-order and fractional-order differential equations), developing numerical methods for the analysis of dynamical systems and their verification through practical example, the critical evaluation of general mathematical issues in electronics, the computer-aided simulation of analog or digital functional blocks and associated behavioral quantification, the qualitative analysis of complex electronic systems, the application of known methods to unknown (unpublished) problems from electrical engineering, the improvement of commonly used models of electronic systems with respect to real measurement results, reports about discrepancies between simulation and measurement results in electronic systems, the modeling of nonlinear dynamics via electronic circuits, practical applications of chaotic circuits, etc.

Dr. Jiří Petržela
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • analog and digital circuits
  • computer-aided analysis
  • entropy
  • chaos and hyperchaos
  • nonlinear dynamics
  • numerical methods in electronics
  • signal processing and generation
  • strange attractors

Published Papers (2 papers)

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Research

17 pages, 10837 KiB  
Article
Star Memristive Neural Network: Dynamics Analysis, Circuit Implementation, and Application in a Color Cryptosystem
by Sen Fu, Zhengjun Yao, Caixia Qian and Xia Wang
Entropy 2023, 25(9), 1261; https://doi.org/10.3390/e25091261 - 25 Aug 2023
Viewed by 919
Abstract
At present, memristive neural networks with various topological structures have been widely studied. However, the memristive neural network with a star structure has not been investigated yet. In order to investigate the dynamic characteristics of neural networks with a star structure, a star [...] Read more.
At present, memristive neural networks with various topological structures have been widely studied. However, the memristive neural network with a star structure has not been investigated yet. In order to investigate the dynamic characteristics of neural networks with a star structure, a star memristive neural network (SMNN) model is proposed in this paper. Firstly, an SMNN model is proposed based on a Hopfield neural network and a flux-controlled memristor. Then, its chaotic dynamics are analyzed by using numerical analysis methods including bifurcation diagrams, Lyapunov exponents, phase plots, Poincaré maps, and basins of attraction. The results show that the SMNN can generate complex dynamical behaviors such as chaos, multi-scroll attractors, and initial boosting behavior. The number of multi-scroll attractors can be changed by adjusting the memristor’s control parameters. And the position of the coexisting chaotic attractors can be changed by switching the memristor’s initial values. Meanwhile, the analog circuit of the SMNN is designed and implemented. The theoretical and numerical results are verified through MULTISIM simulation results. Finally, a color image encryption scheme is designed based on the SMNN. Security performance analysis shows that the designed cryptosystem has good security. Full article
(This article belongs to the Special Issue Nonlinear Systems, Complex Dynamics, and Entropy in Electrical Engineering)
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25 pages, 3263 KiB  
Article
Hyperchaos, Intermittency, Noise and Disorder in Modified Semiconductor Superlattices
by Luis L. Bonilla, Manuel Carretero and Emanuel Mompó
Entropy 2022, 24(12), 1702; https://doi.org/10.3390/e24121702 - 22 Nov 2022
Viewed by 1692
Abstract
Weakly coupled semiconductor superlattices under DC voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and act as fast physical random number generator devices. Here [...] Read more.
Weakly coupled semiconductor superlattices under DC voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and act as fast physical random number generator devices. Here we present a general sequential transport model with different voltage drops at quantum wells and barriers that includes noise and fluctuations due to the superlattice epitaxial growth. Excitability and oscillations of the current in superlattices with identical periods are due to nucleation and motion of charge dipole waves that form at the emitter contact when the current drops below a critical value. Insertion of wider wells increases superlattice excitability by allowing wave nucleation at the modified wells and more complex dynamics. Then hyperchaos and different types of intermittent chaos are possible on extended DC voltage ranges. Intrinsic shot and thermal noises and external noises produce minor effects on chaotic attractors. However, random disorder due to growth fluctuations may suppress any regular or chaotic current oscillations. Numerical simulations show that more than 70% of samples remain chaotic when the standard deviation of their fluctuations due to epitaxial growth is below 0.024 nm (10% of a single monolayer) whereas for 0.015 nm disorder suppresses chaos. Full article
(This article belongs to the Special Issue Nonlinear Systems, Complex Dynamics, and Entropy in Electrical Engineering)
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