Symmetry/Asymmetry in Nonlinear Dynamical Systems, Bifurcation and Chaos

A Special Issue of Symmetry (ISSN 2073-8994) belonging to the section "B: Mathematics".

Deadline for manuscript submissions: 31 August 2027 | Viewed by 70

Editors


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Guest Editor
Research Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, China
Interests: nonlinear dynamics and chaos; nonlinear ecology and ecological restoration

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Guest Editor
School of Engineering, RMIT University, Melbourne 3082, Australia
Interests: functionally graded materials and structures; graphene-reinforced metamaterials; fluid–structure interaction; impact protection
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Special Issue Information

Dear Colleagues,

Symmetry and asymmetry are fundamental organizing principles in nonlinear dynamical systems. Their preservation, breaking, and restoration often govern transitions among equilibria, periodic oscillations, quasiperiodicity, multistability, pattern formation, and chaos. Understanding these mechanisms is essential for revealing how complex behaviors emerge in mathematical models and in physical, engineering, biological, ecological, and networked systems.

This Special Issue aims to bring together recent theoretical, computational, and experimental advances concerning symmetry-related phenomena in nonlinear dynamics, bifurcation, and chaos. Particular attention will be given to invariant structures, symmetry-breaking and symmetry-increasing bifurcations, coexisting attractors, synchronization, spatiotemporal dynamics, and the control of complex behavior. Contributions that combine rigorous analysis with numerical continuation, data-driven methods, machine learning, or experimental validation are especially encouraged. Studies showing how symmetry principles simplify models, reveal hidden structures, or improve prediction and control are also welcome.

Original research articles and review papers are invited. Topics may include, but are not limited to, equivariant dynamical systems; local and global bifurcations; symmetric and asymmetric attractors; hidden attractors and multistability; nonlinear oscillations; coupled systems and complex networks; synchronization and pattern formation; fractional-order and discrete systems; chaos control; and applications in science and engineering.

We look forward to receiving your contributions.

Dr. Tousheng Huang
Dr. Yihe Zhang
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 250 words) can be sent to the Editorial Office for assessment.

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-anonymized 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.

Publisher’s Notice

Following discussions between the Symmetry Editorial Office and the Guest Editor, a new Guest Editor, Dr. Yihe Zhang, has been added to the Special Issue. This change has been approved by the journal Editorial Board, and the Special Issue website has been updated accordingly on 16 September 2026. The Special Issue will continue to be handled by the current Guest Editors in accordance with MDPI’s Special Issue and editorial policies.

Keywords

  • symmetry and asymmetry
  • nonlinear dynamical systems
  • bifurcation theory
  • chaos
  • multistability
  • synchronization
  • spatiotemporal patterns
  • complex networks
  • fractional-order systems
  • chaos control

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Published Papers

This special issue is now open for submission.
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