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Out of all the webpages in my website, this page is special, which is made for only fun.
In this page, I mainly present some common mathematical systems and their solutions in the form of animations.
As I said: this page is made just for fun, which will make you feel how beautiful math is !!! Enjoy the animations below from the YouTube links. 🥰 🥰 ❤️
Lorenz system
Lorenz system
Here, I am presenting animations of a very well known and common solution of Lorenz system. This is also known as the Butterfly effect.
My own
Anemia model
My own
Anemia model
I published a mathematical model in 2021 on anemia disease, which is commonly seen in children under five.
Here, I added two visual representations of the solution behaviours:
animation (part 1) and animation (part 2)
If you want to read the full paper, click this link.
Findings: Anemia disease could be controlled if campaign programs are widely implemented (see animation (part 2) for details, which shows this fact).
Spatial SIR Model
Spatial SIR Model
(Susceptible-Infected-Recovered in Space-Time model)
Here, I am presenting an animation of the well-known SIR model with spatial dynamics (in PDEs). You will get to know the idea if you see the video/animation.
Double pendulum
Double pendulum
Dynamics of a double pendulum
Here, I am presenting an animation of the well-known dynamics of a double pendulum.
Rutherford model
Rutherford model
(Electron orbiting around the nucleus)
Here, I am presenting an animation of the well-known Rutherford atomic model.
Three-body problem
Three-body problem
Trajectories of three identical bodies (Sun-Earth-Moon)
Here, I am presenting an animation of the well-known Three-body problem (Sun-Earth-Moon).
Van der Pol oscillator
Van der Pol oscillator
(Non-conservative, oscillating system with non-linear damping)
Here, I am presenting an animation of the well-known Van der Pol oscillator.
If a 3D object were in 5D !!!
If a 3D object were in 5D !!!
Think about a cube
Question: What would happen to a real 3D object if it gained access to 2 more dimensions ?
(animation)
Motion of a particle
Motion of a particle
(this one is my own thought, which is not very special though)
Here, I am presenting an animation of my own creation 'modelling the motion of a particle'.
I will add some more animations (of some systems) here in upcoming days. Thanks for your patience. For getting back to my homepage, click the button below.
If you want to Run SIR model in python, go to my colab link: SIR model in Python.
If you click here, it will take some moment to load, so please have patience while loading. Then, play with the numerics 🥰
Future population of Bangladesh via logistic growth model
Future population of Bangladesh via logistic growth model
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