UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:52
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Conference: Bucharest University Faculty of Physics 2012 Meeting


Section: Educational Physics


Title:
From Linear to Nonlinear Phenomena through Computer Simulation


Authors:
N. MICESCU(1,2), E.S. BARNA(1), M.V. RUSU(1)


Affiliation:
(1)University of Bucharest, Faculty of Physics, Atomistilor Street 405, P.O. Box MG 11, 077125, Bucharest-Magurele, Romania

(2)Barbu Stirbei National College, Calarasi, Romania


E-mail
kmicescu@gmail.com


Keywords:
dynamical systems, nonlinearity, teaching methodology in physics


Abstract:
In order to better grasp the natural phenomena, we must recognize the roll of nonlinear effects as a major improvement for describing reality. Accordingly, we have as a purpose the development of a gradual introduction of the so-called “nonlinear dynamic systems” as a turning point for better understanding the nature. The true value of the computer approach is revealed for solving, modelling and/or simulating nonlinear phenomena. In order to do that, we are preparing a series of lectures and applications for different phenomena that are simple enough to understand but difficult to compute, in a gradual way. We analyze a series of phenomena, and develop algorithms for computing or simulating them. The project also includes instructions for teaching as well as examples and proposes a thematic for further developments. It is not intended to fully develop all the phenomena, but to open a road that should be followed for all types of problems of main interest. Among these we can mention the following: oscillators of different kinds, linear, coupled, collection of oscillators, non-linear oscillators, damping and non-autonomous oscillators, exemplified by mechanic, electric or optical systems. We will also develop simulations for Verhulst dynamics, logistic developments, pray-predator systems and not only. The whole project involve a series of lectures developed and based mainly on the Romanian curricula and on the textbooks that exist in the bookshops. Note: Romanian Ministry of Education, Research and Youth supported this work under Project FSE-POSDRU ID: 88/1.5/S/56668.