Fractal Theory and Models in Nonlinear Dynamics and Their Applications, 2nd Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 15 September 2026 | Viewed by 1249
Special Issue Editors
Interests: machine design; nonlinear dynamics; rotational dynamics; development of vibration isolation materials; fractal
Special Issues, Collections and Topics in MDPI journals
Interests: vibrations testing; nanomaterials; fractal
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractal structures emerge organically in nonlinear dynamics, and their phase space represents complex dynamic systems. An increased understanding of such constructions is helpful for obtaining information about the future behaviors of complex dynamic systems, since this provides fundamental knowledge about the relation between these systems, as well as their uncertainty and indeterminism. Currently, using fractal–fractional calculus to capture self-similarities in chaotic attractors facilitates an enhanced understanding of stability, bifurcations, and intermittency in dynamic systems. Nonlinear dynamics occur in mathematical physics; engineering applications; theoretical and applied physics, such as quantum mechanics; and signal analysis, among others.
This Special Issue aims to advance research on topics relating to the theory, design, implementation, and application of fractal theory and models in nonlinear dynamics and their applications. We are inviting submissions on topics including, but not limited to, the following:
- Fractal dimension analysis in nonlinear systems;
- Multifractals and their applications in dynamics;
- Self-similarity in dynamical systems;
- Fractal models for predicting system behavior;
- Fractal patterns and fractional dynamics in complex networks;
- Fractal geometry and its applications in chaos.
Prof. Dr. Luis Manuel Palacios-Pineda
Prof. Dr. Oscar Martínez-Romero
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. Fractal and Fractional 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 2700 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
- fractal theory
- multifractals
- fractal–fractional calculus
- fractional chaotic systems
- fractional nonlinear dynamics
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