Advances in Symbolic and Collective Dynamics

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

Deadline for manuscript submissions: 31 May 2024 | Viewed by 2317

Special Issue Editors


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Guest Editor
CIMA-Research Centre for Mathematics and Applications, Department of Mathematics, Universidade de Évora, 7000-812 Évora, Portugal
Interests: dynamical systems; hyperbolic geometry; symbolic dynamics; complex networks; chaos theory; synchronization of chaotic dynamical systems

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Guest Editor
ISTAR-Information Sciences and Technologies and Architecture Research Center, Department of Mathematics, ISTA-School of Technology and Architecture, ISCTE - IUL - Lisbon University Institute, Av. Forças Armadas, 1649-026 Lisbon, Portugal
Interests: nonlinear dynamics; synchronization of dynamical systems; complexity measures; complex networks; nonlinear optimization; multicriteria analysis

Special Issue Information

Dear Colleagues,

The existence of an interaction between dynamical systems can, of course, alters certain determined characteristics of their behaviors. So the study of the coupling of dynamical systems seems to be particularly relevant, namely, the possibility of the emergence of synchronization between these systems. This study can be extended to networks of dynamical systems. In this case, it is interesting to study the resulting global dynamics of the system emerging from the interactions between the local dynamics of the individual elements and the coupling structure and its influence on those emerging global patterns.

This Special Issue aims to promote the exchange of approaches and methods between researchers and to spread recent advances in the development of symbolic dynamics, dynamical networks, and the study of synchronization. It will focus on all aspects of collective phenomena, from qualitative to quantitative points of view. Both theoretical and applied approaches are welcome.

In this Special Issue, we invite authors to present original research articles and to compile state-of-the-art results that can contribute effectively to these specific areas.

Prof. Dr. Clara Gracio
Prof. Dr. Rosário D. Laureano
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.

Published Papers (1 paper)

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Research

20 pages, 1853 KiB  
Article
A Multi-Scale Network with Percolation Model to Describe the Spreading of Forest Fires
by Sara Aleixo Perestrelo, Maria Clara Grácio, Nuno de Almeida Ribeiro and Luís Mário Lopes
Mathematics 2022, 10(4), 588; https://doi.org/10.3390/math10040588 - 14 Feb 2022
Cited by 3 | Viewed by 1607
Abstract
Forest fires have been a major threat to forest ecosystems and its biodiversity, as well as the environment in general, particularly in the Mediterranean regions. To mitigate fire spreading, this study aims at finding a fire-break solution for territories prone to fire occurrence. [...] Read more.
Forest fires have been a major threat to forest ecosystems and its biodiversity, as well as the environment in general, particularly in the Mediterranean regions. To mitigate fire spreading, this study aims at finding a fire-break solution for territories prone to fire occurrence. To the effect, here follows a model to map and predict phase transitions in fire regimes (spanning fires vs. penetrating fires) based on terrain morphology. The structure consists of a 2-scale network using site percolation and SIR epidemiology rules in a cellular automata to model local fire Dynamics. The target area for the application is the region of Serra de Ossa in Portugal, due to its wildfire incidence. The study considers the cases for a Moore neighbourhood of warm cells of radius 1 and 2 and also considers a heterogeneous terrain with 3 classes of vegetation. Phase transitions are found for different combinations of fire risk for each of these classes and use these values to parametrize the resulting landscape network. Full article
(This article belongs to the Special Issue Advances in Symbolic and Collective Dynamics)
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