Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric designs on Lie algebras and interactions of hamiltonian
  systems.   Nonhamiltonian interaction of hamiltonian systems is considered. Dynamical
equations are constructed by use of symmetric designs on Lie algebras. The
results of analysis of these equations show that some class of symmetric
designs on Lie algebras beyond Jordan ones may be useful for a description of
almost periodic, asymptotically periodic, almost asymptotically periodic, and,
possibly, more chaotic systems. However, the behaviour of systems related to
symmetric designs with additional identities is simpler than for general ones
from different points of view. These facts confirm a general thesis that
various algebraic structures beyond Lie algebras may be regarded as certain
characteristics for a wide class of dynamical systems.

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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph