The Geometry of Flows on the Line - Dynamical Systems | Lecture 2

[@dr_mcetin_biyoloji]

excellent teaching, regards

[@sarperyurtseven2732]

You are amazing Jason! Love you!

[@pieter5466]

Love this video, the geometry of dynamic systems is fascinating.

[@21morpha]

Sometimes I think this is as beautiful as mathematics can be.

[@amirhosseinheydarzadeh3717]

Hey, thanks for the video. But a part which difficult to me to understand is that in the sinusoidal diagram some parts have negative solpe which means their value is decreasing, but you've mentioned that the whole part despite the negative slope can be considered as increasing, I'm talking about the interval between the zero to pi on the x axis

[@subhrohalder4104]

Negative slope indicate that the rate of change of x is decrease(That not means that rate of change of x is negative). You can think it like that derivative of x is the velocity of particle and x is the position of particle. From zero to pi, for first half velocity is increase( at x = 0, velocity is zero then increase as value of sinx is increase) and in second half, velocity is decrease but as velocity is positive always in that range , the value of x will increase and at x = pi , the velocity is zero and particle will not move(Fixed point).

[@mikiti6870]

excellent work