Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed mode oscillations in a conceptual climate model   Much work has been done on relaxation oscillations and other simple
oscillators in conceptual climate models. However, the oscillatory patterns in
climate data are often more complicated than what can be described by such
mechanisms. This paper examines complex oscillatory behavior in climate data
through the lens of mixed-mode oscillations. As a case study, a conceptual
climate model with governing equations for global mean temperature, atmospheric
carbon, and oceanic carbon is analyzed. The nondimensionalized model is a
fast/slow system with one fast variable (corresponding to ice volume) and two
slow variables (corresponding to the two carbon stores). Geometric singular
perturbation theory is used to demonstrate the existence of a folded node
singularity. A parameter regime is found in which (singular) trajectories that
pass through the folded node are returned to the singular funnel in the
limiting case where $\epsilon = 0$. In this parameter regime, the model has a
stable periodic orbit of type $1^s$ for some $s>0$. To our knowledge, it is the
first conceptual climate model demonstrated to have the capability to produce
an MMO pattern.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas