Introduction to Dynamical Systems: A Hands-on Approach with Maxima
by Jaime E. Villate
2006
ISBN/ASIN: 9729939608
Number of pages: 43
Description:
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools and trying to avoid too may abstract details. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
Download or read it online for free here:
Download link
(450KB, PDF)
Similar books
Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physicsby Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(11628 views)
Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebraby A. T. Baraviera, R. Leplaideur, A. O. Lopes - arXiv
We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
(7734 views)
Variational Modelling: Energies, gradient flows, and large deviationsby 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.
(9366 views)
Perturbation Theory of Dynamical Systemsby 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.
(6880 views)