The Role of Temporal Influence in Discrete and Continuous Models: Symmetry and Beyond

Dear Colleagues,

We are honored to introduce this Special Issue of Symmetry, entitled “The Role of Temporal Influence in Discrete and Continuous Models: Symmetry and Beyond.” This collection brings together interdisciplinary contributions that explore the nuanced role of time in various frameworks, with a particular focus on the comparative analysis of discrete versus continuous time-pertinent systems. Time is a fundamental dimension across many domains that involve social dynamics, decision-making processes, or computational simulations. Recent developments in both theory and application have opened up new pathways for the comparative analysis of discrete and continuous temporal patterns. The goal of this Special Issue is to investigate how handling features using continuous models can foster efficacy compared to discrete approaches and vice versa. Treating data as having a continuous mode can better represent features such as spectrums and convey meaningful information in particles, while discrete models can elucidate the frequent recurrent patterns found in inner components, resembling time-slot tensors, to exploit the coupling relations between various dimensions. It is important to note that symmetry and asymmetry properties play a critical role in temporal influence. Continuous models often reflect temporal symmetry, displaying smooth, invariant behaviors over time, whereas discrete models can highlight asymmetries with sudden shifts, discontinuities, or irregularities, which may be essential in capturing real-world dynamism. Understanding how these symmetrical and asymmetrical patterns manifest in temporal data provides a deeper insight into the nature of evolution in various spheres and the fidelity required within time-aware systems. The contributions published in this Special Issue will span a diverse set of contexts, including engineering systems, economical and behavioral modeling, artificial intelligence, and biological models, where the choice of temporal facets alters dynamism in augmentation, propagation, and interaction patterns. Each paper will offer a unique perspective using theoretical rigor, empirical data, and simulation-based approaches.

Dr. Saeid Hosseini
Prof. Dr. Jabar H. Yousif
Guest Editors

Manuscript Submission Information

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