Special Issue "Symmetry in Modeling and Analysis of Dynamic Systems II"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics and Symmetry/Asymmetry".

Deadline for manuscript submissions: 15 October 2022 | Viewed by 355

Special Issue Editor

Special Issue Information

Dear Colleagues,

This Special Issue is the continuation of the previous one recently published in Symmetry.

The proposed Special Issue (SI) of the journal Symmetry aims to cover the exchange and dissemination of the concept of symmetry in the modeling and analysis of dynamic features occurring in various branches of science including physics, chemistry, biology, and engineering (mechanics, mechatronics, civil engineering, electronics, informatics, bioengineering, etc.).

The approaches based on dynamical symmetry breaking generalize and unify theories developed and employed in the aforementioned sciences under the concept of invariance of the global/local behavior of the points of spacetime, including temporal/spatiotemporal symmetries.

Since a property of the symmetry of the investigated system implies its conservation quantity like energy, linear/angular momentum, electric charge etc., contributions of research based on the mathematical models of nonlinear partial and ordinary differential equations are especially welcome.

The following topics are also included: (i) discrete vs. continuous symmetry breaking; (ii) solitary waves; (iii) symmetry breaking instability; (iv) symmetry exhibited by MEMS/NEMS; (v) arrays of oscillators subjected to electric/magnetic/thermal fields; (vi) time-symmetry breaking in quantum oscillators; (vii) symmetry breaking of resonances; (viii) symmetry in fluid-structure interaction; (ix) symmetry vs. asymmetry in pattern formation; (x) symmetry in solid-gas phase transition; (xi) continuous vs. discontinuous symmetry; (xii) temporal vs. spatiotemporal symmetry; (xiii) symmetry in transition from regular to chaotic dynamics.

Prof. Dr. Jan Awrejcewicz
Guest Editor

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 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.


  • nonlinear ODES and PDEs
  • stability
  • bifurcation
  • chaos
  • resonance
  • boundary conditions

Published Papers (1 paper)

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Two New Models for Dynamic Linear Elastic Beams and Simplifications for Double Symmetric Cross-Sections
Symmetry 2022, 14(6), 1093; https://doi.org/10.3390/sym14061093 - 26 May 2022
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We present two new models for dynamic beams deduced from three dimensional theory of linear elasticity. The first model is deduced from virtual work considered for small beam sections. For the second model, we suppose a Taylor-Young expansion of the displacement field up [...] Read more.
We present two new models for dynamic beams deduced from three dimensional theory of linear elasticity. The first model is deduced from virtual work considered for small beam sections. For the second model, we suppose a Taylor-Young expansion of the displacement field up to the fourth order in transverse dimensions of the beam. We consider the Fourier series expansion for considering Neumann lateral boundary conditions together with dynamical equations, we obtain a system of fifteen vector equations with the fifteen coefficients vector unknown of the displacement field. For beams with two fold symmetric cross sections commonly used (for example circular, square, rectangular, elliptical…), a unique decomposition of any three-dimensional loads is proposed and the symmetries of these loads is introduced. For these two theories, we show that the initial problem decouples into four subproblems. For an orthotropic material, these four subproblems are completely independent. For a monoclinic material, two subproblems are coupled and independent of the two other coupled subproblems. For the first model, we also give the detailed expression of these four subproblems when we consider the approximation of the displacement field used in the second model. Full article
(This article belongs to the Special Issue Symmetry in Modeling and Analysis of Dynamic Systems II)
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