but using the λ^2-τ*λ+Δ=0
if Δ=0 at least one of the eigenvalues is zero. then the origin is not an isolated fixed point. there is either a whole line of fixed points or a plane of fixed points if A=0
Spirals only satisfy τ^2-4*Δ<0.
I don't know how to draw it and pplane and XPP just...
x'=y-x^3 and y'=-x^5
I've worked the jacobian which is
[-3x^2 1;-5x^4 0] and the equilibrium is at (0,0)
so jac = [0 1;0 0]
and eigenvalues are both 0
so is the stability non isolated point? and what i can say about the basin of attraction of the origin?
Could anyone help me...
Homework Statement
a steel spring that it extends by 10cm in equilibrium when you attach the upper end of the spring to a fixed support and hang a weight of 100g at the lower end.
And I found k and T, so how about if I change the weight to 1kg at the lower end and do the same thing...
Homework Statement
a steel spring that it extends by 10cm in equilibrium when you attach the upper end of the spring to a fixed support and hang a weight of 100g at the lower end.
I want to know how to use the equation for the harmonic oscillator to determine the period of the up and down...
Little help in compound pendulum
Homework Statement
there is an equilateral triangle T with sides of length B. Suspend this triangle from a pivot throught on of its corners, so that it is free to swing about this corner in the plane of the tringle.
I want to ask how to compute the density...