Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero Prandtl-number rotating magnetoconvection   We investigate instabilities and chaos near the onset of Rayleigh-B\'{e}nard
convection (RBC) of electrically conducting fluids with free-slip, perfectly
electrically and thermally conducting boundary conditions in presence of
uniform rotation about vertical axis and horizontal external magnetic field by
considering zero Prandtl-number limit ($\mathrm{Pr} \rightarrow 0$). Direct
numerical simulations (DNS) and low dimensional modeling of the system are done
for the investigation. Values of the Chandrasekhar number ($\mathrm{Q}$) and
the Taylor number ($\mathrm{Ta}$) are varied in the range $0 < \mathrm{Q},
\mathrm{Ta} \leq 50$. Depending on the values of the parameters in the chosen
range and choice of initial conditions, onset of convection is found be either
periodic or chaotic. Interestingly, it is found that chaos at the onset can
occur through four different routes namely homoclinic, intermittency, period
doubling and quasi-periodic routes. Homoclinic and intermittent routes to chaos
at the onset occur in presence of weak magnetic field ($\mathrm{Q} < 2$), while
period doubling route is observed for relatively stronger magnetic field
($\mathrm{Q} \geq 2$) for one set of initial conditions. On the other hand,
quasiperiodic route to chaos at the onset is observed for another set of
initial conditions. However, the rotation rate (value of $\mathrm{Ta}$) also
plays an important role in determining the nature of convection at the onset.
Analysis of the system simultaneously with DNS and low dimensional modeling
helps to clearly identify different flow regimes concentrated near the onset of
convection and understand their origins. The periodic or chaotic convection at
the onset is found to be connected with rich bifurcation structures involving
subcritical pitchfork, imperfect pitchfork, supercritical Hopf, imperfect
homoclinic gluing and Neimark-Sacker bifurcations.

28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin