Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The occurrence of riddled basins and blowout bifurcations in a
  parametric nonlinear system   In this paper, a two parameters family $F_{\beta_1,\beta_2}$ of maps of the
plane living two different subspaces invariant is studied. We observe that, our
model exhibits two chaotic attractors $A_i$, $i=0,1$, lying in these invariant
subspaces and identify the parameters at which $A_i$ has a locally riddled
basin of attraction or becomes a chaotic saddle. Then, the occurrence of
riddled basin in the global sense is investigated in an open region of
$\beta_1\beta_2$-plane. We semi-conjugate our system to a random walk model and
define a fractal boundary which separates the basins of attraction of the two
chaotic attractors, then we describe riddled basin in detail. We show that the
model undergos a sequence of bifurcations: "a blowout bifurcation", "a
bifurcation to normal repulsion" and "a bifurcation by creating a new chaotic
attractor with an intermingled basin". Numerical simulations are presented
graphically to confirm the validity of our results.

8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess