Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compressing phase space detects state changes in nonlinear dynamical
  systems   Equations governing the nonlinear dynamics of complex systems are usually
unknown and indirect methods are used to reconstruct their manifolds. In turn,
they depend on embedding parameters requiring other methods and long temporal
sequences to be accurate. In this paper, we show that an optimal reconstruction
can be achieved by lossless compression of system's time course, providing a
self-consistent analysis of its dynamics and a measure of its complexity, even
for short sequences. Our measure of complexity detects system's state changes
such as weak synchronization phenomena, characterizing many systems, in one
step, integrating results from Lyapunov and fractal analysis.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol