Special Issue "Symmetry Breaking"


A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (31 March 2015)

Special Issue Editor

Guest Editor
Prof. Dr. Antonio Palacios
Department of Mathematics, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-7720, USA
Website: http://www-rohan.sdsu.edu/~antoniop/research/research.html
Phone: (619) 59406808
Interests: applied mathematics, bifurcations, symmetries, pattern formation and coupled nonlinear oscillators

Special Issue Information

Dear Colleagues,

The past two decades have seen an explosion of ideas and methods to study nonlinear dynamical systems with symmetry. These systems arise naturally at various length scales: in molecular dynamics, in animal gaits, in pattern-forming systems, in neural networks, underwater vehicle dynamics, in magnetic- and electric-field sensors, particle physics, in gyroscopic and navigational systems, hydroelastic rotating systems and boats/ships, and in complex systems such as telecommunication infrastructures and power grids. Motivated by the diversity of these and many other applications, we intend to dedicate a special issue of Symmetry to publish original research articles and/or comprehensive review articles on the phenomenon of Symmetry-Breaking. It is indeed well known that symmetry can restrict the type of solutions of systems of ordinary and partial differential equations, which often serve as models of systems that change in space and time, i.e., nonlinear dynamical systems. So it is reasonable to expect that certain aspects of the collective behavior of a system can be inferred from the presence of symmetry and from the symmetries that are broken when parameters change. Such scenario, which is commonly known as symmetry-breaking bifurcation, underlies the behavior of many natural and artificial systems and will be the central theme of this special issue of Symmetry. Research articles will include theoretical and experimental works addressing methods and results in the study on symmetry-breaking bifurcations and their applications. Interdisciplinary studies across various disciplines are also welcome.

Professor Antonio Palacios
Guest Editor


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. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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 refereed through a 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 quarterly 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 800 CHF (Swiss Francs).


  • Symmetry-breaking
  • bifurcation theory
  • nonlinear dynamical systems
  • equivariant bifurcations
  • spatio-temporal dynamics
  • complex systems

Published Papers (4 papers)

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Displaying article 1-4
p. 1122-1150
by ,  and
Symmetry 2015, 7(2), 1122-1150; doi:10.3390/sym7021122
Received: 26 January 2015 / Revised: 8 June 2015 / Accepted: 17 June 2015 / Published: 19 June 2015
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(This article belongs to the Special Issue Symmetry Breaking)
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p. 23-66
Symmetry 2014, 6(1), 23-66; doi:10.3390/sym6010023
Received: 28 October 2013 / Revised: 13 December 2013 / Accepted: 13 December 2013 / Published: 3 January 2014
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(This article belongs to the Special Issue Symmetry Breaking)
p. 344-354
by , , ,  and
Symmetry 2013, 5(4), 344-354; doi:10.3390/sym5040344
Received: 23 September 2013 / Revised: 11 November 2013 / Accepted: 3 December 2013 / Published: 9 December 2013
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(This article belongs to the Special Issue Symmetry Breaking)
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p. 287-312
by , ,  and
Symmetry 2013, 5(4), 287-312; doi:10.3390/sym5040287
Received: 29 August 2013 / Revised: 24 October 2013 / Accepted: 28 October 2013 / Published: 7 November 2013
Show/Hide Abstract | Cited by 2 | PDF Full-text (821 KB)
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Last update: 14 March 2014

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