|
|
2012 » Papers » Volume 1 » From linear to nonlinear phenomena through computer simulation 1. FROM LINEAR TO NONLINEAR PHENOMENA THROUGH COMPUTER SIMULATION Authors: Micescu Nicolae, Barna Emil Stefan, Rusu Mircea Victor Volume 1 | DOI: 10.12753/2066-026X-12-084 | Pages: 526-531 | Download PDF | 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 will prepare a series of lectures and applications for different phenomena that are simple enough to understand but difficult to compute, in a gradual way. We will analyze a series of phenomena, and will develop an algorithm for computing or simulating them.
Also we intend to develop simple computer codes using computer languages that the students from high school learn. It will be also an application of their knowledge in programming.
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.
These themes bring together not only physics knowledge but also knowledge of biology, chemistry, and technology. The whole project involve a series of lectures based mainly on the Romanian curricula and on the textbooks that exist in the bookshops. | Keywords
physics, nonlinear sistems, oscillators, computer simulation |
|
|
|