Nonlinear Analysis-Modelling and Control
Scope & Guideline
Catalyzing knowledge and fostering innovation in mathematics.
Introduction
Aims and Scopes
- Nonlinear Differential Equations:
The journal emphasizes the study of nonlinear differential equations, including fractional and impulsive systems, employing various analytical and numerical techniques. - Mathematical Modeling:
It promotes research that involves the formulation and analysis of mathematical models to describe real-world phenomena, particularly in biology, ecology, and engineering. - Control Theory:
A significant focus is on control systems, particularly optimal control, synchronization, and stability analysis of nonlinear systems. - Fractional Calculus:
The journal publishes studies involving fractional calculus, exploring its applications in modeling dynamic processes and systems. - Fixed Point Theory:
Research related to fixed point theorems and their applications in solving differential equations, particularly in the context of nonlinear mappings.
Trending and Emerging
- Fractional Dynamics:
There is a growing trend in the exploration of fractional dynamics, particularly in modeling complex systems in biology and physics, indicating an increasing interest in fractional derivatives and integrals. - Stochastic Systems and Noise Analysis:
Research focused on stochastic systems, including noise impacts on nonlinear dynamics, is becoming more prominent, reflecting the need to incorporate randomness in modeling. - Epidemiological Modeling:
A significant increase in the publication of epidemiological models, particularly in light of recent global health crises, demonstrates the journal's responsiveness to current events. - Synchronization in Complex Networks:
Emerging studies are increasingly addressing synchronization phenomena in complex networks, highlighting applications in neural networks and multi-agent systems. - Computational Techniques and Simulations:
There is a notable rise in the use of computational methods and simulations to analyze and solve complex mathematical models, showcasing an integration of numerical analysis with theoretical approaches.
Declining or Waning
- Classical Linear Systems:
There has been a noticeable decrease in the publication of research focused on classical linear systems, with a shift towards more complex nonlinear and fractional systems. - Traditional Control Techniques:
Interest in traditional control techniques is waning, as newer methodologies involving fractional-order and adaptive control strategies become more prevalent. - Static Mathematical Models:
The journal has seen a decline in the use of static models, with more emphasis now placed on dynamic systems and their time-dependent behaviors. - Elementary Mathematical Analysis:
There appears to be a reduced focus on basic mathematical analysis topics, as the journal increasingly prioritizes advanced techniques and interdisciplinary applications.
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