Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis of internal relaxation-oscillations in a conceptual
  climate model   We construct a dynamical system based on the KCG (K\"all\'en, Crafoord, Ghil)
conceptual climate model which includes the ice-albedo and
precipitation-temperature feedbacks. Further, we classify the stability of
various critical points of the system and identify a parameter which change
generates a Hopf bifurcation. This gives rise to a stable limit cycle around a
physically interesting critical point. Moreover, it follows from the general
theory that the periodic orbit exhibits relaxation-oscillations which are a
characteristic feature of the Pleistocene ice-ages. We provide an asymptotic
analysis of their behaviour and derive a formula for the period along with
several estimates. They, in turn, are in a decent agreement with paleoclimatic
data and are independent of any parametrization used. Whence, our simple but
robust model shows that a climate may exhibit internal relaxation-oscillations
without any external forcing and for a wide range of parameters.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol