![vstack hstack lgadfly vstack hstack lgadfly](https://vrzkj25a871bpq7t1ugcgmn9-wpengine.netdna-ssl.com/wp-content/uploads/2019/10/numpy-vstack-featured-image.png)
Harmonic oscillator dynamics with attenuation described by the following system of equations:Īnd regardless of the initial conditions (x0, y0), it comes to equilibrium, a point (0,0) with a zero angle of deviation and zero speed. In the case of two ODEs, such a graph, the phase portrait of the system, is a curve on the phase plane and is therefore particularly intuitive. In this case, the argument t is included in the graphs only parametrically. , and in the phase space, along the axes of which the values of each of the functions found are deposited. Now proceed to the phase portraits.ĭecisions of ordinary differential equations are often more convenient to portray in a non-customary way. This is the most extensive and supported package, providing a lot of methods for solving difures. You also need a powerful tool for solving differential equations. Not the most convenient option, but while waiting for the update PlotlyJS, you can compare and try. We drive in our REPL, JUNO or Jupyter notebook:
VSTACK HSTACK LGADFLY FULL VERSION
To begin with, download the Gadfly graphics package, and immediately the full version of the developer, so that it works well with our Julia 1.0.1. In short, we will solve diffs and build graphs. This is the most convenient tactic for mastering the tool: in order to fill our hands, we will solve pressing problems, gradually increasing complexity and finding ways to make our lives easier.
![vstack hstack lgadfly vstack hstack lgadfly](https://i.ytimg.com/vi/DEdSEgGe0KA/maxresdefault.jpg)
But for a start, we need just the very narrow possibility of application - for solving typical problems of physics. We continue to master the young and promising general-purpose language Julia.