Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular Hyperbolicity and sectional Lyapunov exponents of various
  orders   It is given notions of singular hyperbolicity and sectional Lyapunov
exponents of orders beyond the classical ones, namely, other dimensions besides
the dimension 2 and the full dimension of the central subbundle of the singular
hyperbolic set. It is obtained a characterization of dominated splittings,
partial and singular hyperbolicity in this broad sense, by using Lyapunov
exponents and the notion of infinitesimal Lyapunov functions. Furthermore, it
is given alternative requirements to obtain singular hyperbolicity. As an
application we obtain some results related to singular hyperbolic sets for
flows.

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The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con