Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamically Multivalued Self-Organisation and Probabilistic Structure
  Formation Processes   The unreduced, universally nonperturbative analysis of arbitrary many-body
interaction process reveals the irreducible, purely dynamic source of
randomness. It leads to the universal definition of real system complexity
(physics/9806002), where the internally chaotic self-organisation emerges as a
limiting case of complex interaction dynamics (physics/0211071). It extends
also the concept of "self-organised criticality" and corresponds to formation
of distinct enough (but always internally chaotic) structures occurring if the
system is far from characteristic frequency resonances. Transition to the
opposite limiting regime of multivalued interaction dynamics, that of uniform
(global) chaos, takes place around the main frequency resonance(s), which
provides the absolutely universal criterion of global chaos onset, applicable
to any kind of system, as well as the new, extended interpretation of the
phenomenon of resonance itself. As a result, one obtains the causally complete
description of world structure emergence and dynamics, from elementary
particles to consciousness, including practically important and fundamentally
substantiated propositions for self-organisation research and applications.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph