Special Issue "Numerical Computation and Nonlinear Dynamical Systems"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 August 2019).
Interests: computational intelligence; geometric numerical integration; numerical methods in applied sciences and engineering; differential geometrical methods in applied sciences and engineering
Special Issues and Collections in MDPI journals
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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access quarterly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- non-linear dynamical system
- numerical computational method
- modelling of complex real-world phenomenon
- optimization problem solving by non-linear dynamics
- non-linear feedback control