Sharkovsky's theorem
Sharkovsky’s theorem is a rule about how things can follow each other. Imagine you have a line that’s split into lots of little parts. We call these parts points.
Now, imagine that we put numbers on each of these points. These numbers tell us where the points are supposed to be.
But what if we wanted to move the points around? What if we wanted to mix them up? This is where Sharkovsky’s theorem comes in.
Sharkovsky’s theorem says that if you move one point, you might have to move other points too. And if you move some of those points, you might have to move even more points.
It’s kind of like when you’re playing with blocks. If you move one block at the bottom of the stack, you might have to move other blocks too so that the stack doesn’t fall over.
The really cool thing about Sharkovsky’s theorem is that it works for any line that has a whole bunch of points on it.
So, if you want to move points around on a line, you have to be careful and think about all the other points that might be affected. And that’s what Sharkovsky’s theorem helps us do!
Now, imagine that we put numbers on each of these points. These numbers tell us where the points are supposed to be.
But what if we wanted to move the points around? What if we wanted to mix them up? This is where Sharkovsky’s theorem comes in.
Sharkovsky’s theorem says that if you move one point, you might have to move other points too. And if you move some of those points, you might have to move even more points.
It’s kind of like when you’re playing with blocks. If you move one block at the bottom of the stack, you might have to move other blocks too so that the stack doesn’t fall over.
The really cool thing about Sharkovsky’s theorem is that it works for any line that has a whole bunch of points on it.
So, if you want to move points around on a line, you have to be careful and think about all the other points that might be affected. And that’s what Sharkovsky’s theorem helps us do!