Dynamical Systems: Analytical and Computational Techniques
by Mahmut Reyhanoglu
Publisher: InTech 2017
Number of pages: 272
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically.
Home page url
Download or read it online for free here:
by A. A. Martynyuk - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
by Pierre Arnoux, et al. - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
by Nils Berglund - arXiv
These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.
by Mark A. Peletier - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.