Study on Convergence of Nonlinear Dynamical Systems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: closed (31 October 2024) | Viewed by 955
Special Issue Editors
Interests: nonlinear dynamics; bifurcation analysis; chaotic dynamics and applications; complex systems; engineering, applied and computational mathematics; complex networks; environmental engineering; dynamical systems; mathematical epidemiology; mathematical modeling and numerical simulation
Interests: futures thinking; design and innovation; modelling; complexity
Special Issue Information
Dear Colleague,
In dynamical systems and control theory, convergence plays a fundamental role in understanding and manipulating complex nonlinear systems. Nonlinear systems are ubiquitous in nature and engineering, so their convergence analysis is crucial. This Special Issue delves into the convergence of nonlinear systems, shedding light on its significance and applications.
Achieving convergence is a critical objective in control theory. Control algorithms aim to guide a system towards a desired state, and ensuring convergence ensures that the system settles into the desired configuration accurately and efficiently. For instance, in autonomous vehicle control, convergence guarantees that the vehicle's trajectory converges to the desired path, enhancing safety and precision. In dynamical systems, convergence analysis helps in understanding the long-term behavior of systems. Chaos theory, for example, explores the behavior of chaotic systems and examines whether they strongly depend on initial conditions or eventually converge to certain attractors. Understanding convergence properties in chaos theory is vital for predicting and controlling chaotic systems, such as weather patterns or financial markets.
In conclusion, the convergence of nonlinear systems is a fundamental concept in dynamical systems and control theory. It underpins the stability and predictability of complex systems, facilitating their control and manipulation. Researchers and engineers continue to explore and develop sophisticated techniques to ensure convergence, enabling advancements in various fields and technologies.
Prof. Dr. Gerard Olivar-Tost
Prof. Dr. Enric Trullols-Farreny
Dr. Deissy Milena Sotelo Castelblanco
Guest Editors
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Keywords
- nonlinear dynamics
- nonlinear control
- bifurcations
- stability
- complex networks
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