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Recent Trends in Nonlinear, Chaotic and Complex Systems
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Laboratory of Nonlinear Circuits, Systems & Complexity (LaNSCom), Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Dr. Karthikeyan Rajagopal
Center for Nonlinear Systems, Chennai Institute of Technology, Tamil Nadu 600069, India
Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran
Department of Electrical Engineering, University of Dschang, P.O. Box 134 Dschang, Cameroon
Fractional-Order Systems and Nonlinear Circuits Group, Faculty of Electronics Sciences, Autonomous University of Puebla, Puebla 72570, Mexico
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Recent Trends in Nonlinear, Chaotic and Complex Systems

Abstract submission deadline
closed (28 February 2023)
Manuscript submission deadline
closed (31 May 2023)
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Topic Information

Dear Colleagues,

We live in a world dominated by nonlinearities, which play an important role in many natural phenomena. Furthermore, chaos is a common phenomenon in nature and exists in various nonlinear systems. Theoretical research on chaos has lasted for almost five decades. Various definitions and properties, theoretical bases and frameworks, correlations with fractals, and test methods of chaos have been presented and examined.

Therefore, the theoretical concept of chaos helps us to examine phenomena and behaviors not only in physical, chemical, and biological systems, but also in economic and sociological models. At the same time, chaos has also been used in many practical and useful applications, such as in cryptography, secure communications, optimization algorithms, and robotics. Furthermore, with the development of nonlinear dynamics, chaotic phenomena have been found in recent nonlinear systems, such as fractional differential systems, fractional discrete systems, time delays systems, and discontinuous dynamical systems. Especially in the last three decades, complex dynamics, including chaos, bifurcation, and other mechanisms, have also been found in these new systems. Nonlinear systems, bifurcation, chaos, and fractals are intertwined, which constitute several major topics in the study of nonlinear dynamics.

In this sense, research in this topic should contribute to presenting recent trends in theory, analysis, numerical simulation, and experimental realization, promising new results and novel practical applications on various topics of current interest on chaos and the related field of nonlinear dynamics, as well as on complex systems.

Prof. Dr. Christos Volos
Dr. Karthikeyan Rajagopal
Dr. Sajad Jafari
Dr. Jacques Kengne
Dr. Jesus M. Munoz-Pacheco
Topic Editors

Keywords

  • chaos theory
  • nonlinear classical and fractional systems and their applications
  • nonlinear electronic circuits
  • synchronization and chaos control
  • complex systems
  • biological and (bio)medical complexity
  • neurodynamics and brain dynamics
  • economic and social dynamics and complexity
  • data-driven dynamical systems
  • time delay systems

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
Entropy
entropy 		2.738 4.4 1999 19.9 Days 2000 CHF
Fractal and Fractional
fractalfract 		3.577 2.8 2017 18.3 Days 1800 CHF
Dynamics
dynamics 		- - 2021 31.6 Days 1000 CHF
Symmetry
symmetry 		2.940 4.3 2009 14.2 Days 2000 CHF
Algorithms
algorithms 		- 3.3 2008 17.6 Days 1600 CHF

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Published Papers (2 papers)

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Article
Evaluation of Geometric Attractor Structure and Recurrence Analysis in Professional Dancers
by
Michalina Błażkiewicz
Entropy 2022, 24(9), 1310; https://doi.org/10.3390/e24091310 - 16 Sep 2022
Cited by 1 | Viewed by 1075
Abstract
Background: Human motor systems contain nonlinear features. The purpose of this study was to evaluate the geometric structure of attractors and analyze recurrence in two different pirouettes (jazz and classic) performed by 15 professional dancers. Methods: The kinematics of the body’s center of [...] Read more.
Background: Human motor systems contain nonlinear features. The purpose of this study was to evaluate the geometric structure of attractors and analyze recurrence in two different pirouettes (jazz and classic) performed by 15 professional dancers. Methods: The kinematics of the body’s center of mass (CoM) and knee of the supporting leg (LKNE) during the pirouette were measured using the Vicon system. A time series of selected points were resampled, normalized, and randomly reordered. Then, every second time series was flipped to be combined with other time series and make a long time series out of the repetitions of a single task. The attractors were reconstructed, and the convex hull volumes (CHV) were counted for the CoM and LKNE for each pirouette in each direction. Recurrence quantification analysis (RQA) was used to extract additional information. Results: The CHVs calculated for the LKNE were significantly lower for the jazz pirouette. All RQA measures had the highest values for LKNE along the mediolateral axis for the jazz pirouette. This result underscores the high determinism, high motion recurrence, and complexity of this maneuver. Conclusions: The findings offer new insight into the evaluation of the approximation of homogeneity in motion control. A high determinism indicates a highly stable and predictive motion trajectory. Full article
(This article belongs to the Topic Recent Trends in Nonlinear, Chaotic and Complex Systems)
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Article
A Novel Hyperchaotic 2D-SFCF with Simple Structure and Its Application in Image Encryption
by
Yongsheng Hu
,
Han Wu
and
Luoyu Zhou
Entropy 2022, 24(9), 1266; https://doi.org/10.3390/e24091266 - 09 Sep 2022
Cited by 1 | Viewed by 1146
Abstract
In this paper, a novel image encryption algorithm is proposed based on hyperchaotic two-dimensional sin-fractional-cos-fractional (2D-SFCF), called sin-fractional-cos-fractional image-encryption (SFCF-IE). The 2D-SFCF is constructed from two one-dimensional cosine fractional (1-DCFs), and it has a more complex chaotic behavior with a larger parameter space [...] Read more.
In this paper, a novel image encryption algorithm is proposed based on hyperchaotic two-dimensional sin-fractional-cos-fractional (2D-SFCF), called sin-fractional-cos-fractional image-encryption (SFCF-IE). The 2D-SFCF is constructed from two one-dimensional cosine fractional (1-DCFs), and it has a more complex chaotic behavior with a larger parameter space than one-dimensional chaotic systems. Compared with the two-dimensional (2D) chaotic system, the 2D-SFCF has a simple structure, and the parameter space in the chaotic state is continuous, which is beneficial to generating the keystream in the cryptosystem. Therefore, in the novel image encryption algorithm, we use the 2D-SFCF to generate the keystream of the cryptosystem. The encryption algorithm is a process of scrambling and diffusion. Different from common diffusion methods, the diffusion starting position of the SFCF-IE is randomly generated, enhancing the algorithm’s security. Simulation experiments show that the image encrypted by this algorithm has better distribution characteristics and can resist common attack methods. Full article
(This article belongs to the Topic Recent Trends in Nonlinear, Chaotic and Complex Systems)
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