Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extreme phase sensitivity in systems with fractal isochrons   Sensitivity to initial conditions is usually associated with chaotic dynamics
and strange attractors. However, even systems with (quasi)periodic dynamics can
exhibit it. In this context we report on the fractal properties of the
isochrons of some continuous-time asymptotically periodic systems. We define a
global measure of phase sensitivity that we call the phase sensitivity
coefficient and show that it is an invariant of the system related to the
capacity dimension of the isochrons. Similar results are also obtained with
discrete-time systems. As an illustration of the framework, we compute the
phase sensitivity coefficient for popular models of bursting neurons,
suggesting that some elliptic bursting neurons are characterized by isochrons
of high fractal dimensions and exhibit a very sensitive (unreliable) phase
response.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs