Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth Morse-Lyapunov Functions and Morse Theory of Strong Attractors
  for Nonsmooth Dynamical Systems   In this paper we first construct smooth Morse-Lyapunov functions of
attractors for nonsmooth dynamical systems. Then we prove that all open
attractor neighborhoods of an attractor have the same homotopy type. Based on
this basic fact we finally introduce the concept of critical group for Morse
sets of an attractor and establish Morse inequalities and equations.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc