Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-Hopf bifurcation in a Chua system   A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues
are $\pm \omega i\neq 0$ and $0$. In general for a such equilibrium there is no
theory for knowing when from it bifurcates some small-amplitude limit cycle
moving the parameters of the system. Here we study the zero-Hopf bifurcation
using the averaging theory. We apply this theory to a Chua system depending on
$6$ parameters, but the way followed for studying the zero-Hopf bifurcation can
be applied to any other differential system in dimension $3$ or higher.
  In this paper first we show that there are three $4$-parameter families of
Chua systems exhibiting a zero-Hopf equilibrium. After, by using the averaging
theory, we provide sufficient conditions for the bifurcation of limit cycles
from these families of zero-Hopf equilibria. From one family we can prove that
$1$ limit cycle bifurcate, and from the other two families we can prove that
$1$, $2$ or $3$ limit cycles bifurcate simultaneously.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat