Dynamical Systems and Their Applications Methods, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 736

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IT4Innovations, Department of Applied Mathematics, VSB-Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava, Czech Republic
Interests: dynamical systems; chaos; 0-1 test for chaos; hidden attractor; multistability
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Special Issue Information

Dear Colleagues,

In recent decades, non-linear phenomena have garnered the attention of researchers across many scientific fields. Simultaneously, the development of technological devices and advanced theories have resulted in new scientific findings in the area of dynamical systems, which in turn have opened novel prospectives in science and engineering fields.

This Special Issue, ‘Dynamical Systems and Their Applications: Second Edition’ invites submissions of original research and survey articles that underscore the recent and novel developments in the theory of dynamical systems and their applications, particularly focusing on analytical, numerical, and experimental results showing non-linear phenomena with regular and irregular patterns.

Prof. Dr. Marek Lampart
Guest Editor

Manuscript Submission Information

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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. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

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Keywords

  • dynamical systems
  • differential and difference equations
  • chaos, chaos control, and anticontrol
  • stability, multi-stability, hidden and self-excited attractors
  • entropy, 0–1 test for chaos, and lyapunov exponent
  • time series, time-series forecasting, and predictability

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Published Papers (1 paper)

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Research

16 pages, 287 KiB  
Article
Applications of Structural Nabla Derivatives on Time Scales to Dynamic Equations
by Amin Benaissa Cherif, Bouharket Bendouma, Khaled Zennir, Svetlin G. Georgiev, Keltoum Bouhali and Taha Radwan
Mathematics 2024, 12(11), 1688; https://doi.org/10.3390/math12111688 - 29 May 2024
Viewed by 476
Abstract
We present here more general concepts of Hausdorff derivatives (structural Nabla derivatives) on a timescale. We examine structural Nabla integration on temporal scales. Using the fixed-point theorem, we establish adequate criteria for the question of existence and uniqueness of the solution to an [...] Read more.
We present here more general concepts of Hausdorff derivatives (structural Nabla derivatives) on a timescale. We examine structural Nabla integration on temporal scales. Using the fixed-point theorem, we establish adequate criteria for the question of existence and uniqueness of the solution to an initial value problem characterized by structural Nabla derivatives on timescales. Furthermore, some features of the new operator are proven and illustrated by using concrete examples. Full article
(This article belongs to the Special Issue Dynamical Systems and Their Applications Methods, 2nd Edition)
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