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Faculty of Mechanical Engineering, São Paulo State University, Bauru 17033-360, SP, Brazil
Department of Mathematics, Federal University of Technology—Paraná (UTFPR), Ponta Grossa 84016-210, PR, Brazil
Prof. Dr. Átila Madureira Bueno
Control and Automation Engineering Department, Institute of Science and Engineering, São Paulo State University (UNESP), Sorocaba, SP, Brazil
Automation and Control Laboratory (LAC), Telecom and Control Department, Polytechnique School, University of São Paulo, São Paulo 05508-010, SP, Brazil
Dr. Marcus Varanis
Physics Institute, Federal University of Mato Grosso do Sul (UFMS), Campo Grande 79070-900, Brazil
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Nonlinear Phenomena, Chaos, Control and Applications to Engineering and Science and Experimental Aspects of Complex Systems, 2nd Edition

Abstract submission deadline
30 April 2026
Manuscript submission deadline
30 June 2026
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629

Topic Information

Dear Colleagues,

The need for dynamics and control of nonlinear oscillating systems is ubiquitous in engineering given that real-world engineering systems are, in general, nonlinear and oscillatory.

This multidisciplinary field encompasses computation, physics, mathematics, electrical and mechanical engineering, chemical processes, and so forth.

The objective of this topic is to propose a set of publications providing a forum for discussing and disseminating the latest approaches, methodologies, results, and current challenges in nonlinear dynamics and chaotic systems.

Contributions that focus on all analytical, computational, and experimental aspects of nonlinear dynamics, chaos, and control, including fractional approaches, electromechanical systems at MACRO, MEMS, and NEMS scales, nonideal oscillating systems (limited power supplies), and novel phenomena and behaviors linked to several aspects of symmetry on nonlinear dynamics, chaos, and control, are welcome.

This theme will also be a great opportunity for disseminating recent developments in analytical and numerical techniques and for discussing novel phenomena and behaviors involving several aspects of nonlinear dynamics and control. In addition, works related to relevant and current issues, such as epidemiological models, rumor dissemination, and complex systems are also welcome.

Lastly, researchers and practitioners are invited to submit their original research work in the rapidly developing field of nonlinear dynamics and control of system oscillations and their applications to engineering and science. Therefore, we encourage the submission of researchers’ and practitioners’ latest unpublished works.

Prof. Dr. Jose Balthazar
Prof. Dr. Angelo Marcelo Tusset
Prof. Dr. Átila Madureira Bueno
Dr. Diego Colón
Dr. Marcus Varanis
Topic Editors

Keywords

  • nonlinear dynamics, chaos of oscillating systems at macro-, micro-, or nano-scales; systems in fractional orders; entropy; fuzzy systems; complex systems.
  • global nonlinear dynamics for engineering design and system safety: erosion of basins of attractions—dynamical integrity
  • MEM system atomic force microscopy
  • nonlinear control of nonlinear oscillating systems at macro-, micro-, or nano-scales; optimal, robust, and adaptive control of nonlinear oscillating systems; process control of nonlinear oscillating systems in engineering processes; metamaterials and their control
  • sensitivity analysis in macro and MEMS modeling; polynomial chaos
  • energy transfer between oscillators; synchronization
  • biomathematics and bio-inspired models
  • rumor and information dissemination
  • acoustic levitation
  • astrodynamics

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
Axioms
axioms 		1.6 - 2012 21.6 Days CHF 2400 Submit
Dynamics
dynamics 		0.9 1.7 2021 13.9 Days CHF 1200 Submit
Mathematics
mathematics 		2.2 4.6 2013 18.4 Days CHF 2600 Submit
Symmetry
symmetry 		2.2 5.3 2009 17.1 Days CHF 2400 Submit
Machines
machines 		2.5 4.7 2013 16.9 Days CHF 2400 Submit
Applied Sciences
applsci 		2.5 5.5 2011 19.8 Days CHF 2400 Submit

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MDPI Topics is collaborating with Preprints.org and has established a direct connection between MDPI journals and the platform. Authors are encouraged to take advantage of this opportunity by posting their preprints at Preprints.org prior to publication:

  1. Share your research immediately: disseminate your ideas prior to publication and establish priority for your work.
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Published Papers (1 paper)

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Article
A Combined Separation of Variables and Fractional Power Series Approach for Selected Boundary Value Problems
by Gabriel Antonio Felipe, Carlos Alberto Valentim and Sergio Adriani David
Dynamics 2025, 5(3), 24; https://doi.org/10.3390/dynamics5030024 - 20 Jun 2025
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Abstract
Fractional modeling has emerged as an important resource for describing complex phenomena and systems exhibiting non-local behavior or memory effects, finding increasing application in several areas in physics and engineering. This study presents the analytical derivation of equations pertinent to the modeling of [...] Read more.
Fractional modeling has emerged as an important resource for describing complex phenomena and systems exhibiting non-local behavior or memory effects, finding increasing application in several areas in physics and engineering. This study presents the analytical derivation of equations pertinent to the modeling of different systems, with a focus on heat conduction. Two specific boundary value problems are addressed: a Helmholtz equation modified with a fractional derivative term, and a fractional formulation of the Laplace equation applied to steady-state heat conduction in circular geometry. The methodology combines the separation of variables technique with fractional power series expansions, primarily utilizing the Caputo fractional derivative. An important aspect of this paper is its instructional emphasis, wherein the mathematical derivations are presented with detail and clarity. This didactic approach is intended to make the analytical methodology transparent and more understandable, thereby facilitating greater comprehension of the application of these established methods to non-integer-order systems. The final goal is not only to provide a different approach of solving these physical models analytically, but to provide a clear, guided pathway for those engaging in the treatment of fractional differential equations. Full article
(This article belongs to the Topic Nonlinear Phenomena, Chaos, Control and Applications to Engineering and Science and Experimental Aspects of Complex Systems, 2nd Edition)
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