1
vote
0answers
16 views

Conceptual questions about chaotic signals

Are chaotic signals stationary or non stationary signals? They are ergodic and ergodic signals are a kind of stationary signals. But, from statistics point of view, are chaotic signals classified as ...
1
vote
0answers
35 views

Logistic map and attractors

Does the logistic map have a strange attractor for some "chaotic" values of the parameter?
2
votes
0answers
38 views

Kolmogorov entropy and noise

There are various ways of calculating the Kolmogorov entropy (KE)of dynamical system. According to Pesin's theorum, it is the summation of the lyapunov exponents; frominformation theoretic concet, it ...
4
votes
1answer
93 views

Are there real life applications for Hausdorff dimensions, specifically crack formations?

I was curios about Hausdorff dimensions. They seem to neatly describe rough surfaces. So I was wondering if there are common applications of Hausdorff dimensions in things like complicated friction ...
5
votes
2answers
552 views

Current scope of Chaos theory and non-linear dynamics?

I am a physics undergrad interested in stuff like dynamical systems, chaos theory etc. Is there ongoing research in these fields? I am talking about pure research and not applications to things like ...