Dynamical Behaviors in Networked Systems: Analysis & Control
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: closed (7 July 2024) | Viewed by 438
Special Issue Editor
Special Issue Information
Dear Colleagues,
Real systems rarely remain isolated; instead, they are composed of many interconnected dynamical systems. Networked dynamical systems have emerged as efficient tools for studying these systems. The availability of fascinating network architectures, including hypergraphs, multilayer networks, time-varying networks, enables for more efficient capturing of the interconnections among subsystems. In recent decades, research has increasingly focused on the analysis and control of coupled systems. The advancement of science and technology has made controlling of such systems more intricate. This necessitates the development of novel theories for the analysis and control of such systems.
Networked dynamical systems are omnipresent across various domains, encompassing diverse disciplines ranging from engineering, social sciences, physics, and chemistry to neuroscience, ecology, and economics. The interactions and dynamics of entities within these complex networks lead to emergent behaviors, making them an exciting area of study.
In this Special Issue, we want to point out the directions of further studies in the field of network dynamical systems, especially focusing on their analysis, stability, and control. We cordially invite researchers to contribute their research articles, reviews, and technical notes which will inspire fundamental aspects of this focused Special Issue. Contributions may address, but are not limited to, the following topics:
- →Mathematical modeling of complex systems: Developments in mathematical models of coupled systems, including continuous and discrete-time models, game theory, and stochastic processes.
- →Emergent dynamical behaviors: Analysis of synchronization patterns, chimera states, and oscillation quenching states in complex systems.
- →Higher-order interactions: Exploring the role of higher-order interactions, including hypergraphs and simplicial complexes to model and analyze non-pairwise relationships among entities.
- →Multilayer network: Investigating the behavior and dynamics of complex systems represented as multilayer networks, where entities interact through multiple interconnected layers, leading to rich dynamical behaviors.
- →Stability analysis and robustness: Studies focusing on the stability and robustness analysis of networked dynamical systems under various conditions, including parameter uncertainties and external perturbations.
- →Control strategies: Novel control methodologies to steer the dynamics of complex systems towards the desired states or behaviors.
- →Applications of networked dynamical systems: Real-world applications of network science and dynamical systems theory in practical problems, such as power grids, communication networks, biological networks, social networks, and other fields.
As Guest Editors, we welcome contributions from researchers and experts in the field to share their latest findings and perspectives. All submissions will undergo a standard peer-review process to ensure high-quality and impactful research in this Special Issue. We believe that this Special Issue will ensure a comprehensive understanding of the dynamic behaviors in network systems, opening doors to innovative control strategies and applications in various domains.
Dr. Sarbendu Rakshit
Guest Editor
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Keywords
- complex systems
- linear and non-linear dynamical systems
- higher-order interactions
- multi-layer networks
- time-varying networks
- asymptotic stability
- finite-time stability
- network control theory
- robustness
- biological systems
- neuronal behaviors
- synchronization patterns
- chimera states
- random walks
- evolutionary games
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