Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring Parameter Spaces in Dynamical Systems   The parameter space of dynamical systems arising in applications is often
found to be high-dimensional and difficult to explore. We construct a fast
algorithm to numerically analyze "quantitative features" of dynamical systems
depending on parameters. Using a classical problem from mathematical ecology as
an example, we demonstrate how to apply the algorithm to investigate the
amplitude of a limit cycle depending on seven parameters. We stress the
practical value of the algorithm but we also provide a rigorous error analysis
to justify the overall strategy. Our approach turns out to be particularly
useful in the case of comparing experimental data to a model defined by
differential equations and to investigate whether the equations can approximate
the modeled system.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio