MAE5790-18 Strange attractor for the Lorenz equations

[@georgesadler7830]

DR. Strogatz, thank you for a solid explanation of Strange Attractor for Lorenz equations. The idea of stable/unstable systems are important in Nonlinear Dynamics and Chaos.

[@jonathanwolf5109]

Old Nova episode on Chaos: kzbin.info/www/bejne/paCac5uvqc2bqtksi=cd6oxbF4xFDpXYrC

[@Alireza10Rezaei10]

thats great... thanks a lot.

[@edgaravila9963]

Every behavior of the postumous Lorentz condition, belongs to the initial condition given to the equations...

[@ShashwatSharan]

At 56:55 professor said |f'(z*)|>1, and that's true but z* lies on the right side of the peak on the graph of z(n+1) vs z(n) which we know has a negative slope just by looking at the graph. So, |f'(z*)|>1 but f'(z*)

[@peymanfiroozy3602]

You should look at the absolute values of everything then compare them, I suppose!

[@gabriwolf]

|f'(z*)|>1 means that you could have either f'(z*)>1 or f'(z*)

[@azizelmaghrabi]

very good

[@edgaravila9963]

Look for the Lorenz attractors and the chaos theory...

[@michaelstark8182]

good

[@jimth2009]

just to mention that the line is an open set (not only open though). What he tries to say is open sets with finite diameter.

[@laurentlaborde1196]

why do i understand what he say while i stopped school at 16yo ? o_O

[@stevenytcx]

cuz ur stupid

[@ThePaulTM]

I show that we have a Metro processing system with 369 and tri-penta sequences that produces duo 3phase strings of 100 for DNA in 5 cube nests which keep adding in helical strings in super perfect 3d order. This is non-linear similar to the Lorenz effect but this is perfect order in 3d geometric reality and not what you scholars call chaos. Please answer what is correct - my positive growing 3d fractals that gives this perfect ORDER in 3d reality ( puts our nose between our eyes) or your teachings of negative growing 2d fractals, Lorenz and 2d math functions that produce only CHAOS with lots to say but absolute no order or 3d DNA geometry.

[@snnwstt]

ThePaulTM I have been told, once, that we should start trying to understand when things are simple, because when it is complicated, it is just too late to start trying. Those "simple abstract models" are probably not what happens in real life, but they are a very good point to start understanding. And that does not make real life cases less important, no, it is that they are just more complex. It is not about importance, but about a point where we can START the understanding. Furthermore, genius is about making complex things simpler, not the other way, would have said Albert E. (I was not there, so it is just a hear-say)

[@ThePaulTM]

Maybe you need to use a little bit of your own sense to analyze and figure out the 3d geometry of perfect order that I show in 3D reality. You need to study my 3D work & not just glance at my comments. I show perfect 3D order for DNA you probably say is not your department. But 3D geometry is your department and the best you can do is to come up with a whitewash theory in 2D of chaos. I also show helical form being produced by my 10-20 Phi vector system with 5 nested cube 3D geometry to the produce the Lorenze effect. What makes you guys think you can come up with all the answers using complex equations on paper and keep to beginners 2D geometry.

[@ThePaulTM]

I am not bitter. I am not paying to learn chaos theory. I only show it is not correct. It is you that cannot prove me wrong. You are returning me a snooty answer in sour grapes.

[@stevenytcx]

u dumb

[@ThePaulTM]

@@stevenytcx u no ?