555 research outputs found
Resurgence of oscillation in coupled oscillators under delayed cyclic interaction
This paper investigates the emergence of amplitude death and revival of
oscillations from the suppression states in a system of coupled dynamical units
interacting through delayed cyclic mode. In order to resurrect the oscillation
from amplitude death state, we introduce asymmetry and feedback parameter in
the cyclic coupling forms as a result of which the death region shrinks due to
higher asymmetry and lower feedback parameter values for coupled oscillatory
systems. Some analytical conditions are derived for amplitude death and revival
of oscillations in two coupled limit cycle oscillators and corresponding
numerical simulations confirm the obtained theoretical results. We also report
that the death state and revival of oscillations from quenched state are
possible in the network of identical coupled oscillators. The proposed
mechanism has also been examined using chaotic Lorenz oscillator.Comment: 16 pages, 13 figure
Synchronization of chaotic modulated time delay networks in presence of noise
We study the constructive role of noises in a Lorenz system with functional
delay. The effect of delay can change the dynamics of the system to a chaotic
one from its steady state. Induced synchronization with white and colored (red
and green) noises are observed between two identical uncoupled systems and
enhancement of synchrony is also observed with unidirectional coupling. We
investigate both the phenomena in a globally coupled network in the presence of
white and color noises.Comment: 10 pages, 7 figure
Chimera states: Effects of different coupling topologies
Collective behavior among coupled dynamical units can emerge in various forms
as a result of different coupling topologies as well as different types of
coupling functions. Chimera states have recently received ample attention as a
fascinating manifestation of collective behavior, in particular describing a
symmetry breaking spatiotemporal pattern where synchronized and desynchronized
states coexist in a network of coupled oscillators. In this perspective, we
review the emergence of different chimera states, focusing on the effects of
different coupling topologies that describe the interaction network connecting
the oscillators. We cover chimera states that emerge in local, nonlocal and
global coupling topologies, as well as in modular, temporal and multilayer
networks. We also provide an outline of challenges and directions for future
research.Comment: 7 two-column pages, 4 figures; Perspective accepted for publication
in EP
Interplay of IR-Improved DGLAP-CS Theory and NLO Parton Shower MC Precision
We present the interplay between the new IR-improved DGLAP-CS theory and the
precision of NLO parton shower/ME matched MC`s as it is realized by the new MC
Herwiri1.031 in interface to MC@NLO. We discuss phenomenological implications
using comparisons with recent LHC data on single heavy gauge boson production.Comment: 8 pages, 4 figures; presented by BFLW at ICHEP 201
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