Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial tipping in a spatially heterogeneous world   Many climate subsystems are thought to be susceptible to tipping - and some
might be close to a tipping point. The general belief and intuition, based on
simple conceptual models of tipping elements, is that tipping leads to
reorganization of the full (sub)system. Here, we explore tipping in conceptual,
but spatially extended and spatially heterogenous models. These are extensions
of conceptual models taken from all sorts of climate system components on
multiple spatial scales. By analysis of the bifurcation structure of such
systems, special stable equilibrium states are revealed: coexistence states
with part of the spatial domain in one state, and part in another, with a
spatial interface between these regions. These coexistence states critically
depend on the size and the spatial heterogeneity of the (sub)system. In
particular, in these systems a tipping point might lead to a partial tipping of
the full (sub)system, in which only part of the spatial domain undergoes
reorganization, limiting the impact of these events on the system's
functioning.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat