State-of-the-Art Dynamical Systems

Dear Colleagues,

This forthcoming Special Issue, titled "State-of-the-Art Dynamical Systems", is poised to explore the intricate interplay between theory and practice in the realm of dynamical systems. Encompassing a broad spectrum of theoretical and practical aspects, this issue delves into systems where time is the primary driver.

Theoretical discussions within this Special Issue will span diverse domains, including spatial and temporal systems such as reaction-diffusion systems, characterized by a plethora of differential and difference equations. Furthermore, the scope extends to equations on time scales, delayed systems, and fractional derivatives. Time series analysis and digital signal processing represent pivotal areas of inquiry, reflecting the multifaceted nature of dynamical systems.

A key focus of this Special Issue lies in the qualitative analysis of dynamic systems, delving into stability, identification, observation, and control issues, particularly in the face of uncertainty. This emphasis underscores the significance of understanding the underlying dynamics for effective system management and decision making.

Practical applications showcased in this Special Issue will encompass a wide array of fields, including biomedicine, where insights into population dynamics, epidemiology, immunology, biochemical reactions, and pharmacokinetics hold profound implications. Moreover, the integration of dynamical systems theory into mechanical engineering, manufacturing, and management underscores its relevance across various industrial sectors. Additionally, the exploration of recurrent neural networks and reinforcement learning highlights the contemporary relevance of dynamical systems in advancing artificial intelligence and computational methodologies.

In summary, this Special Issue promises to offer a comprehensive exploration of the state-of-the-art in dynamical systems, bridging theoretical insights with real-world applications across diverse domains. By fostering interdisciplinary dialogue and collaboration, it aims to advance our understanding and utilization of dynamical systems in tackling contemporary challenges and fostering innovation.

Prof. Dr. Vasyl Martsenyuk
Guest Editor

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• dynamical systems
• difference-differential equations
• time series
• qualitative analysis
• stability
• population dynamics
• mechanical engineering
• control problems
• recurrent neural networks