New posts in dynamical-systems

(Vishik's Normal Form) Behavior of a vector field near the boundary of a manifold

Finding Lyapunov function for a given system of differential equations

Does the sequence $f_1=x^2+1$ , $f_{n+1}=(f_n)^2+1$ contain only irreducible polynomials?

Corollary of the Malgrange Preparation Theorem

The "muscle" behind the fact that ergodic measures are mutually singular

Concentric Equilateral Triangles

Self study Control Theory

Making something a control parameter or a variable when analysing a dynamical system

Reference book for "Dynamical Systems"

Does iterating the complex function $z\mapsto\frac{2\sqrt z}{1+z}$ always converge?

Attracting fixed point of $f$ if and only if repelling fixed point of $f^{-1}$

The Mandelbrot Set Membership

What's the point of a Horseshoe map?

If $f(x) \le f(Tx)$ then $f(x)=f(Tx)$ almost everywhere ( $T$ is $\mu$-invariant )

Is a Markov process a random dynamic system?

Find a matrix that represents the dynamic system

What's the name of this chaotic system? (Cool pics included.)

How did Ulam and Neumann find this solution?

2D bifurcation problem

eventually constant maps