Dear Colleagues,

The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical state due to the effects of different types of uncertainties. In fact, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes, and impreciseness can be modeled by fuzzy sets, rough sets, Dempster–Shafer theory, etc.

Generally, symmetry, asymmetry, and antisymmetry are basic characteristics of binary relations used when modeling dynamical systems. Moreover, the notion of symmetry has appeared in many articles about fuzzy sets, rough sets, Dempster–Shafer theory, etc., which are employed in dynamical systems. Hence, the behavior of dynamical systems with uncertain variables, parameters, and functions has recently attracted academic attention. Similarly, the study of the dynamics manifested in complex networks, or an interaction network of individuals, became popular in the last few decades. The study of collective dynamics in complex interaction networks has been proven to be useful to understand collective dynamic phenomena like the emergence of cooperation between rational agents, the synchronization of signals like a flashlight or fireflies, rumor spreading, conscious forming in a social network, etc. Different methods of statistical mechanics are also successfully applied to study such complex systems and to understand the emergence of different collective behavior. When randomness and imprecision coexist in a system, the system is called a hybrid uncertain system. In such a system, the overall uncertainty is an aggregation of both types of uncertainties. However, in the context of modeling the behavior of complex natural systems, it is extremely important to analyze the effect of appropriate uncertainty in order to understand the predictability of different phenomena. Examples of such uncertain dynamical systems could be cited in different levels of the universe ranging from the interaction of quantum particles to the complex interaction of biochemical molecules like signaling in the brain, or even complex social interactions like forming opinions.

This Special Issue will collect high-quality papers addressing uncertain dynamics, their modeling, and their simulation. Submitted papers should not have been previously published or be currently under consideration for publication elsewhere.

We invite authors to submit original research articles that propose novel modeling and simulation of uncertain complex systems in various fields of natural science.

A quick query of Scopus on uncertain dynamics clearly demonstrates a rapid and steady growth of the area as shown in Figure 1.

Figure 1. Publications related to uncertain dynamics.

Potential topics include but are not limited to the following:

• Stochastic dynamics, SPDE;
• Random dynamical systems;
• Rough path analysis, random matrix;
• Uncertain dynamics, fuzzy dynamics, rough dynamics;
• Network analysis of complex dynamics;
• Hybrid uncertainty analysis;
• Simulation and complexity of dynamics under uncertainty.

Prof. Dr. Dragan Pamucar
Prof. Dr. Dragan Marinkovic
Prof. Dr. Samarjit Kar
Guest Editors

Manuscript Submission Information

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