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Symmetry
Special Issues
Nonlinear Circuits and Systems in Symmetry
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Nonlinear Circuits and Systems in Symmetry

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (1 October 2019) | Viewed by 12801

Special Issue Editors

Prof. Dr. Luigi Fortuna

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Guest Editor
Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Universita degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy
Interests: non-linear dynamical systems; automatic control; autonomous system control; non-linear electronic circuits and devices
Special Issues, Collections and Topics in MDPI journals
Dr. Arturo Buscarino

E-Mail Website
Guest Editor
Department of Electrical Engineering, Electronics and Informatics, University of Catania, 95125 Catania, Italy
Interests: nonlinear electronic circuits; nuclear fusion control; system theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to collect contributions on nonlinear circuits and systems that presents special “symmetry”. Symmetry in our special means to get from nonlinear circuits and systems added values, that cannot be achieved with linear systems. Very simple nonlinear circuits and devices present complex behavior in mantaining order and generating patterns. Imperfect dynamical nonlinear systems work thanks to noise. Taming nonlinear circuits can be achieved thanks to structural asymmetries. Papers regarding theory and applications, with an emphasis on uncertainty, noise and imperfections, are welcome; moreover, papers regarding taming chaos and self-organization-based devices are of wide interest. The theory of nonlinear circuits and their applications are timely subjects today; moreover, the hidden order of such a system is an interesting and widely-discussed topic in the literature. Indeed the presence of noise and uncertainty in these systems has not widely faced. Therefore, the efforts of contributions should be to emphasize this topic. The papers should also concern special types of bifurcation that arise in these types of systems. Communications regarding chaos synchronization in structures with symmetries are also encouraged. Robustness evaluation performance in nonlinear networks should be another topic for contributions. Engineering applications regarding the previous areas will be highly considered.

Prof. Luigi Fortuna
Prof. Arturo Buscarino
Guest Editors

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. Symmetry 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 2400 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

  • imperfect systems
  • uncertain nonlinear circuit and their dynamics
  • noise in nonlinear devices
  • stochastic resonance phenomena
  • jump resonance
  • taming chaos with asymmetries
  • electronic devices with nonlinear behavior
  • synchronization in circuits and networks

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Published Papers (4 papers)

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Research

10 pages, 378 KiB  
Article
Eigenvalue Based Approach for Assessment of Global Robustness of Nonlinear Dynamical Systems
by Robert Vrabel
Symmetry 2019, 11(4), 569; https://doi.org/10.3390/sym11040569 - 19 Apr 2019
Cited by 1 | Viewed by 2361
Abstract
In this paper we have established the sufficient conditions for asymptotic convergence of all solutions of nonlinear dynamical system (with potentially unknown and unbounded external disturbances) to zero with time t → ∞ . We showed here that the symmetric part of linear [...] Read more.
In this paper we have established the sufficient conditions for asymptotic convergence of all solutions of nonlinear dynamical system (with potentially unknown and unbounded external disturbances) to zero with time t → ∞ . We showed here that the symmetric part of linear part of nonlinear nominal system, or, to be more precise, its time-dependent eigenvalues, play important role in assessment of the robustness of systems. Full article
(This article belongs to the Special Issue Nonlinear Circuits and Systems in Symmetry)
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19 pages, 813 KiB  
Article
System Identification Based on Tensor Decompositions: A Trilinear Approach
by Laura-Maria Dogariu, Silviu Ciochină, Jacob Benesty and Constantin Paleologu
Symmetry 2019, 11(4), 556; https://doi.org/10.3390/sym11040556 - 17 Apr 2019
Cited by 17 | Viewed by 3110
Abstract
The theory of nonlinear systems can currently be encountered in many important fields, while the nonlinear behavior of electronic systems and devices has been studied for a long time. However, a global approach for dealing with nonlinear systems does not exist and the [...] Read more.
The theory of nonlinear systems can currently be encountered in many important fields, while the nonlinear behavior of electronic systems and devices has been studied for a long time. However, a global approach for dealing with nonlinear systems does not exist and the methods to address this problem differ depending on the application and on the types of nonlinearities. An interesting category of nonlinear systems is one that can be regarded as an ensemble of (approximately) linear systems. Some popular examples in this context are nonlinear electronic devices (such as acoustic echo cancellers, which are used in applications for two-party or multi-party voice communications, e.g., videoconferencing), which can be modeled as a cascade of linear and nonlinear systems, similar to the Hammerstein model. Multiple-input/single-output (MISO) systems can also be regarded as separable multilinear systems and be treated using the appropriate methods. The high dimension of the parameter space in such problems can be addressed with methods based on tensor decompositions and modelling. In recent work, we focused on a particular type of multilinear structure—namely the bilinear form (i.e., two-dimensional decompositions)—in the framework of identifying spatiotemporal models. In this paper, we extend the work to the decomposition of more complex systems and we propose an iterative Wiener filter tailored for the identification of trilinear forms (where third-order tensors are involved), which can then be further extended to higher order multilinear structures. In addition, we derive the least-mean-square (LMS) and normalized LMS (NLMS) algorithms tailored for such trilinear forms. Simulations performed in the context of system identification (based on the MISO system approach) indicate the good performance of the proposed solution, as compared to conventional approaches. Full article
(This article belongs to the Special Issue Nonlinear Circuits and Systems in Symmetry)
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9 pages, 209 KiB  
Article
Disturbance Decoupling Problem: Logic-Dynamic Approach-Based Solution
by Alexey Zhirabok
Symmetry 2019, 11(4), 555; https://doi.org/10.3390/sym11040555 - 17 Apr 2019
Cited by 3 | Viewed by 1866
Abstract
This paper considers the disturbance decoupling problem by the dynamic measurement feedback for discrete-time nonlinear control systems. To solve this problem, the algebraic approach, called the logic-dynamic approach, is used. Such an approach assumes that the system description may contain non-smooth functions. Necessary [...] Read more.
This paper considers the disturbance decoupling problem by the dynamic measurement feedback for discrete-time nonlinear control systems. To solve this problem, the algebraic approach, called the logic-dynamic approach, is used. Such an approach assumes that the system description may contain non-smooth functions. Necessary and sufficient conditions are obtained in terms of matrices similar to controlled and ( h , f ) -invariant functions. Furthermore, procedures are developed to determine the corresponding matrices and the dynamic measurement feedback. Full article
(This article belongs to the Special Issue Nonlinear Circuits and Systems in Symmetry)
11 pages, 3517 KiB  
Article
A Novel 2D—Grid of Scroll Chaotic Attractor Generated by CNN
by Ahmed M. Ali, Saif M. Ramadhan and Fadhil R. Tahir
Symmetry 2019, 11(1), 99; https://doi.org/10.3390/sym11010099 - 16 Jan 2019
Cited by 6 | Viewed by 4789
Abstract
The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and [...] Read more.
The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pattern. A novel grid of scroll chaotic attractor, based on a new system, shows symmetry scrolls about the origin. Also, the equilibrium points are located in a manner such that the symmetry about the line x = y has been achieved. The complex dynamics of system can be generated using CNNs, which in turn are derived from a CNN array ( 1 × 3 ) cells. The paper concerns on the design and implementation of 2 × 2 and 3 × 3 2 D -grid of scroll via the CNN model. Theoretical analysis and numerical simulations of the derived model are included. The simulation results reveal that the grid of scroll attractors can be successfully reproduced using PSpice. Full article
(This article belongs to the Special Issue Nonlinear Circuits and Systems in Symmetry)
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