Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observation of bifurcations and hysteresis in experimentally coupled
  logistic maps   Initially, the logistic map became popular as a simplified model for
population growth. In spite of its apparent simplicity, as the population
growth-rate is increased the map exhibits a broad range of dynamics, which
include bifurcation cascades going from periodic to chaotic solutions. Studying
coupled maps allows to identify other qualitative changes in the collective
dynamics, such as pattern formations or hysteresis. Particularly, hysteresis is
the appearance of different attracting sets, a set when the control parameter
is increased and another set when it is decreased -- a multi-stable region. In
this work, we present an experimental study on the bifurcations and hysteresis
of nearly identical, coupled, logistic maps. Our logistic maps are an
electronic system that has a discrete-time evolution with a high
signal-to-noise ratio ($\sim10^6$), resulting in simple, precise, and reliable
experimental manipulations, which include the design of a modifiable diffusive
coupling configuration circuit. We find that the characterisations of the
isolated and coupled logistic-maps' dynamics agrees excellently with the
theoretical and numerical predictions (such as the critical bifurcation points
and Feigenbaum's bifurcation velocity). Here, we report multi-stable regions
appearing robustly across configurations, even though our configurations had
parameter mismatch (which we measure directly from the components of the
circuit and also infer from the resultant dynamics for each map) and were
unavoidably affected by electronic noise.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th