New posts in Dynamical Systems

Direction of a Point in a Vector Field

When can a vector field be rescaled to have constant divergence?

Is there a bijection $\phi : [0,1]\to [0,1]$ with no finite orbits?

Stability of linear time-varying systems

How can this system not be asymptotically stable?

If $f$ is in the span of eigenfunctions, then $|f|$ is also in the span of eigenfunctions.

Largest circle in basin of attraction of the origin.

Why do real positive eigenvalues result in an unstable system? What about eigenvalues between 0 and 1? or 1?

Corollary of the Malgrange Preparation Theorem

Solve a PDE defining a limit cycle of a nonlinear DE