Numerical Computation and Nonlinear Dynamical Systems
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 August 2019) | Viewed by 8024
Special Issue Editor
Interests: computational intelligence; geometric numerical integration; numerical methods in applied sciences and engineering; differential geometrical methods in applied sciences and engineering
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Non-linear problems are of interest to engineers, biologists, physicists, and mathematicians. because most real-world systems are inherently non-linear. In particular, non-linear dynamical systems describe changes in variables over time governed by complicated non-linear functions, and may result in complex and chaotic trajectories over the state space. A class of non-linear dynamical systems arise when non-linear constraints exist between the variables, which may be framed in the context of dynamical systems on manifolds.
Non-linear dynamical systems are notoriously difficult to study and to solve precisely, therefore, it is customary to resort to numerical approximations for their exact solutions. A common approximated approach is based on local linearization. This approach works well up to a certain accuracy and some range for the input values, but some interesting phenomena, such as solitons, chaos, and singularities, are hidden by linearization. More sophisticated approaches have been developed over the years to study the features and to approximate the solutions of non-linear dynamical systems, under the form of non-linear numerical methods. The aim of the present Special Issue is to present the latest results in the modeling of real-world engineering or applied-science phenomena by non-linear dynamical systems, in the study of formal theories to characterize the behavior of non-linear dynamical systems (for example in chaotic systems), in the numerical simulation of the behavior of non-linear dynamical systems (for example, by geometric-integration methods), and in the control of non-linear dynamical systems (with special emphasis on non-linear feedback control).
Prof. Dr. Simone Fiori
Guest Editor
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Keywords
- non-linear dynamical system
- numerical computational method
- modelling of complex real-world phenomenon
- optimization problem solving by non-linear dynamics
- non-linear feedback control
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