Special Issue "Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors III"

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

Deadline for manuscript submissions: 30 June 2021.

Special Issue Editors

Dr. Christos Volos
Guest Editor
Laboratory of Nonlinear Circuits, Systems and Complexity (LaNSCom), Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece
Interests: nonlinear circuits and systems; chaotic cryptography; chaotic secure communication
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Dr. Jesus M. Munoz-Pacheco

Guest Editor
Faculty of Electronics Sciences, Autonomous University of Puebla, Mexico
Interests: chaos theory; analog circuits; CAD; evolutionary algorithms; fractional order systems
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Dr. Sajad Jafari

Guest Editor
Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Interests: chaos; nonlinear dynamics; optimization
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Dr. Jacques Kengne

Guest Editor
Department of Electrical Engineering, University of Dschang, P.O. Box 134 Dschang, Cameroon
Interests: chaos theory; nonlinear phenomena; nonlinear circuits; hidden attractors; synchronization
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Dr. Karthikeyan Rajagopal

Guest Editor
Center for Nonlinear Systems, Chennai Institute of Technology, Tamil Nadu 600069, India
Interests: optimal control theory; artificial intelligence; adaptive control; neural networks
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Special Issue Information

Dear Colleagues,

Entropy is a basic and important concept in information theory. It is also often used as a measure of the degree of chaos in dynamical systems, for example, Lyapunov exponents, fractal dimension, and entropy are usually used to describe the complexity of chaotic systems. Thus, it would be interesting to collect the latest advances in the field of studying entropy in nonlinear systems.

Additionally, in the last few years, there has been increasing interest in a new classification of nonlinear dynamical systems, including two kinds of attractors, namely: self-excited attractors and hidden attractors. Self-excited attractors can be localized straight forwardly by applying a standard computational procedure. Some interesting examples of systems with self-excited attractors are chaotic systems with different kinds of symmetry, with multi-scroll attractors, multiple attractors, and extreme multistability. On the other hand, in systems with hidden attractors, we have to develop a specific computational procedure to identify the hidden attractors because of the fact that the equilibrium points do not help in their localization. Some examples of these kinds of systems are chaotic dynamical systems with no equilibrium points, with only stable equilibria, curves of equilibria, surfaces of equilibria, and non-hyperbolic equilibria. There is evidence that hidden attractors play an important role in the various fields, ranging from phase-locked loops, oscillators describing a convective fluid motion, models of drilling systems, information theory, and cryptography to multilevel DC/DC converters. Furthermore, hidden attractors may lead to unexpected and disastrous responses. So, it is very useful to find new tools in order to study entropy for hidden attractors.

This Special Issue is dedicated to the presentation and discussion of the advanced topics of complex systems with hidden attractors and self-excited attractors. The contribution to the Special Issue should focus on the aspects of nonlinear dynamics, entropy, and applications of nonlinear systems with hidden and self-excited attractors.

Potential topics include, but are not limited to, the following:

  • Analytical–numerical methods for investing hidden oscillations
  • Bifurcation and chaos in complex systems
  • Chimera states, spiral waves, and pattern formation in networks of oscillators
  • Self-organization
  • Designing new nonlinear systems with desired features
  • Experimental study of nonlinear systems
  • Extreme multistability
  • Complex networks
  • Fractional order dynamical systems
  • Hidden attractors in complex systems
  • Entropy of hidden attractors
  • Networks of nonlinear oscillators (like neurons)
  • New methods of control and synchronization nonlinear systems
  • Information theory
  • Nonlinear dynamics and chaos in engineering applications
  • Nonlinear systems with an infinite number of equilibrium points
  • Nonlinear systems with a stable equilibrium
  • Nonlinear systems without equilibrium
  • Entropy-based cryptography
  • Novel computation algorithms for studying nonlinear systems
  • Oscillations and chaos in dynamic economic models
  • Quantum chaos
  • Related engineering applications
  • Self-excited attractors

Dr. Christos Volos
Dr. Jesus M. Munoz-Pacheco
Dr. Sajad Jafari
Dr. Jacques Kengne 
Dr. Karthikeyan Rajagopal 
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 papers will be 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 1800 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.


  • Entropy
  • Chaos
  • Complex systems
  • Nonlinear Systems
  • Hidden attractors
  • Self-excited attractors

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Published Papers

This special issue is now open for submission.
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