Asymmetric and Symmetric Studies on Nonlinear Dynamics

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

Deadline for manuscript submissions: 26 May 2027 | Viewed by 78

Special Issue Editors


E-Mail Website
Guest Editor
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
Interests: complex networks; dynamical systems

E-Mail Website
Guest Editor
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
Interests: time series analysis; econophysics; machine learning in dynamical systems

Special Issue Information

Dear Colleagues,

Symmetries play a significant role in understanding and formulating the foundation of physical laws, with applications ranging from classical physics, mathematics, and dynamical systems. Symmetric systems are those whose governing equations remain invariant under certain transformations, including reflection, rotation, translation, or permutation; equivalently, they are systems that constituted by a homogeneous set of parameters. This invariant often leads to periodic patterns, conserved quantities, and structured behaviors, such as chimera states and cluster synchronization in network systems.

On the other hand, asymmetric systems lack such invariance or heterogeneity, either inherently or due to perturbations. Asymmetry can lead to rich and often unexpected phenomena, including critical transitions, chaos, pattern formation, and synchronization.

The transition from symmetry to asymmetry is particularly important in nonlinear systems for explaining how complex structures and behaviors arise in nature. Studying both symmetric and asymmetric cases provides deeper insight into stability, evolution, and the underlying mechanisms driving nonlinear phenomena across physics, biology, and engineering.

This Special Issue will focus on studies of symmetric and asymmetric systems in nonlinear dynamics, encompassing topics such as stability analysis, collective phenomena, critical transitions, symmetries in networks, the emergence of chaos, and pattern formation.

We look forward to receiving your contributions.

Dr. Subrata Ghosh
Dr. Ajit Mahata
Guest Editors

Manuscript Submission Information

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Keywords

  • nonlinear dynamics
  • mathematical modeling
  • symmetry
  • asymmetry
  • critical transition
  • complex networks

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Published Papers

This special issue is now open for submission.
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