Symmetry in Discrete Dynamical Systems and Ordinary Differential Equations
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 August 2020) | Viewed by 13852
Special Issue Editors
Interests: qualitative theory of ordinary differential equations and the theory of bifurcations of plane dynamical systems; integrability of dynamical systems; symbolic computation; computational algebra and algebraic geometry
Special Issue Information
Dear Colleagues,
Nowadays, numerous real world phenomena and processes are mathematically modelled by discrete dynamical systems and ordinary differential equations. Many of such models exhibit different kinds of symmetry. It can be symmetry of discrete or differential equations with respect to some groups of transformation, symmetry of phase portraits, symmetry of certain solutions, time-reversible symmetry etc. Sometimes symmetry is hidden and can be seen only after some nonlinear transformations. Some kinds of symmetry in dynamical systems are often related to specific properties of the systems, like integrability, linearizability and periodicity of solutions. Existence of symmetry can be helpful in the control theory since it can allow to control real world models described by ordinary differential equations or discrete dynamical equations. Sometimes symmetry can be used in order to reduce a system of differential equations to an equivalent system of a simple form. It is also important on studies on Hilbert’s 16th problem, since it allows to construct polynomial systems of ODEs with many limit cycles.
You are welcome to submit your paper related to the topics mentioned above for the Special Issue.
Prof. Dr. Valery G. Romanovski
Prof. Dr. Xingwu Chen
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. Symmetry 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 2400 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
- symmetry with respect to linear groups
- ODEs
- time-reversible symmetry
- solutions and phase portraits
- integrability
- linearizability
- periodic solutions
- symbolic and numeric methods for systems with symmetry
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue polices can be found here.