DR. Stroogatz, thanks for showing the applications of bifurcations in the real world. Nonlinear Dynamical systems and Chaos plays a vital role in our everyday lives.
24:07 "sub-critical" example: it is just a "mirror" rotation of the figure just on top, or just as if someone was seeing the picture from behind the blackboard. So, it is just a manner of changing the sign of "x", such as temperature getting colder while, on top, it would have been temperature getting warmer. Both pictures are "the same", really. Not?
DR. Stroogatz, thanks for showing the applications of bifurcations in the real world. Nonlinear Dynamical systems and Chaos plays a vital role in our everyday lives.
The dfield and pplane looks so good tool to understand your text！ Thank you Dr.😙 I like to run it on MATLAB.
24:07 "sub-critical" example: it is just a "mirror" rotation of the figure just on top, or just as if someone was seeing the picture from behind the blackboard. So, it is just a manner of changing the sign of "x", such as temperature getting colder while, on top, it would have been temperature getting warmer. Both pictures are "the same", really. Not?
good thank you