Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization in hyperchaotic time-delayed electronic oscillators
  coupled indirectly via a common environment   The present paper explores the synchronization scenario of hyperchaotic
time-delayed electronic oscillators coupled indirectly via a common
environment. We show that depending upon the coupling parameters a hyperchaotic
time-delayed system can show in-phase or complete synchronization, and also
inverse-phase or anti-synchronization. This paper reports the first
experimental confirmation of synchronization of hyperchaos in time-delayed
electronic oscillators coupled indirectly through a common environment. We
confirm the occurrence of in-phase and inverse-phase synchronization phenomena
in the coupled system through the dynamical measures like generalized
autocorrelation function, correlation of probability of recurrence, and the
concept of localized sets computed directly from the experimental time-series
data. We also present a linear stability analysis of the coupled system. The
experimental and analytical results are further supported by the detailed
numerical analysis of the coupled system. Apart from the above mentioned
measures, we numerically compute another quantitative measure, namely, Lyapunov
exponent spectrum of the coupled system that confirms the transition from the
in-phase (inverse-phase) synchronized state to the complete (anti-)
synchronized state with the increasing coupling strength.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org