Symmetric Research in Nonlinear Dynamic System, Bifurcation, and Chaos
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".
Deadline for manuscript submissions: 31 October 2026 | Viewed by 210
Special Issue Editors
Interests: chaotic system; nonlinear dynamics; compressed sensing; multimedia data security; cryptography
Special Issues, Collections and Topics in MDPI journals
Interests: complex networks; nonlinear dynamics; compressive sensing; echo state network
Interests: chaotic system; post-quantum cryptography; quantum machine leanring; trust & privacy in cyberphysical systems
Special Issue Information
Dear Colleagues,
Nonlinear dynamical systems underpin a wide spectrum of phenomena in physics, engineering, biology, and information sciences. Within this broad landscape, symmetry, including geometric, algebraic, spatiotemporal, and network symmetries, plays a pivotal role in shaping system behavior, organizing invariant structures, and governing the emergence of bifurcations, metastability, pattern formation, synchronization, and chaos. Symmetry can both constrain and enrich dynamics, yielding characteristic bifurcation scenarios, robust attractors, and structured routes to chaos, while enabling principled model reduction, control design, and interpretability.
This Special Issue, “Symmetric Research in Nonlinear Dynamic System, Bifurcation, and Chaos,” aims to bring together recent theoretical, computational, and applied advances that exploit symmetry to understand, predict, and engineer nonlinear behaviors. We particularly welcome contributions that connect dynamical systems and bifurcation theory with modern numerical methods, data-driven modeling, and emerging applications (e.g., complex networks, coupled oscillators, secure communications, and cryptography-inspired chaotic dynamics). Both original research articles and high-quality review papers are encouraged.
Topics of interest include (but are not limited to):
- Symmetry and bifurcation theory in nonlinear systems (continuous/discrete symmetries);
- Symmetric chaos, routes to chaos, and invariant sets/attractors under symmetric constraints;
- Pattern formation and spatiotemporal symmetry in PDEs and lattice/oscillator networks;
- Synchronization, cluster states, chimera states, and symmetry-induced multistability;
- Complex networks with symmetry and dynamics on symmetric networks;
- Chaos control, stabilization, and symmetry-based controller/observer design;
- Data-driven, reduced-order, and learning-based methods for symmetric nonlinear dynamics;
- Applications in engineering systems, biological systems, and cryptography.
We invite you to submit your latest findings to this Special Issue and contribute to advancing symmetric perspectives in nonlinear dynamics, bifurcation, and chaos.
Dr. Donghua Jiang
Dr. Mingwen Zheng
Dr. Muhammad Shahbaz Khan
Dr. Jacques Kengne
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-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
- chaotic system
- nonlinear dynamics
- symmetry
- bifurcation
- complex network
- chaos control
- chaotic application
- stability analysis
- chaos-based cryptography
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.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
