Physical review. E,
Journal Year:
2022,
Volume and Issue:
105(4)
Published: April 21, 2022
Since
the
discovery
of
chimera
states,
presence
a
nonzero
phase
lag
parameter
turns
out
to
be
an
essential
attribute
for
emergence
chimeras
in
nonlocally
coupled
identical
Kuramoto
oscillators'
network
with
pairwise
interactions.
In
this
Letter,
we
report
without
owing
introduction
nonpairwise
The
influence
added
nonlinearity
system
dynamics
form
simplicial
complexes
mitigates
requisite
states.
Chimera
states
stimulated
by
reciprocity
and
interaction
strengths
their
multistable
nature
are
characterized
appropriate
measures
demonstrated
spaces.
Communications Physics,
Journal Year:
2022,
Volume and Issue:
5(1)
Published: Oct. 28, 2022
Abstract
Non-reciprocal
interactions
play
a
crucial
role
in
many
social
and
biological
complex
systems.
While
directionality
has
been
thoroughly
accounted
for
networks
with
pairwise
interactions,
its
effects
systems
higher-order
have
not
yet
explored
as
deserved.
Here,
we
introduce
the
concept
of
M
-directed
hypergraphs,
general
class
directed
structures,
which
allows
to
investigate
dynamical
coupled
through
group
interactions.
As
an
application
study
synchronization
nonlinear
oscillators
on
1-directed
finding
that
can
destroy
synchronization,
but
also
stabilize
otherwise
unstable
synchronized
states.
Nature Communications,
Journal Year:
2022,
Volume and Issue:
13(1)
Published: Nov. 24, 2022
Hypergraphs,
encoding
structured
interactions
among
any
number
of
system
units,
have
recently
proven
a
successful
tool
to
describe
many
real-world
biological
and
social
networks.
Here
we
propose
framework
based
on
statistical
inference
characterize
the
structural
organization
hypergraphs.
The
method
allows
infer
missing
hyperedges
size
in
principled
way,
jointly
detect
overlapping
communities
presence
higher-order
interactions.
Furthermore,
our
model
has
an
efficient
numerical
implementation,
it
runs
faster
than
dyadic
algorithms
pairwise
records
projected
from
data.
We
apply
variety
systems,
showing
strong
performance
hyperedge
prediction
tasks,
detecting
well
aligned
with
information
carried
by
interactions,
robustness
against
addition
noisy
hyperedges.
Our
approach
illustrates
fundamental
advantages
hypergraph
probabilistic
when
modeling
relational
systems
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2022,
Volume and Issue:
32(3)
Published: March 1, 2022
Recent
developments
in
complex
systems
have
witnessed
that
many
real-world
scenarios,
successfully
represented
as
networks,
are
not
always
restricted
to
binary
interactions
but
often
include
higher-order
among
the
nodes.
These
beyond
pairwise
preferably
modeled
by
hypergraphs,
where
hyperedges
represent
between
a
set
of
In
this
work,
we
consider
multiplex
network
intralayer
connections
called
hypergraph.
The
hypergraph
is
constructed
mapping
maximal
cliques
scale-free
suitable
sizes.
We
investigate
and
interlayer
synchronizations
such
structures.
Our
study
unveils
synchronization
appreciably
enhances
when
structure
taken
into
consideration
spite
only
connections.
derive
necessary
condition
for
stable
states
master
stability
function
approach,
which
perfectly
agrees
with
numerical
results.
also
explore
robustness
find
structures
many-body
interaction,
more
persistent
than
networks
solely
interaction.
IEEE/CAA Journal of Automatica Sinica,
Journal Year:
2022,
Volume and Issue:
9(4), P. 573 - 577
Published: March 9, 2022
The
Laplacian
eigenvalue
spectrum
of
a
complex
network
contains
great
deal
information
about
the
topology
and
dynamics,
particularly
affecting
synchronization
process
performance.
This
article
briefly
reviews
recent
progress
in
studies
synchronizability,
regarding
its
spectral
criteria
topological
optimization,
explores
role
higher-order
topologies
measuring
optimal
synchronizability
large-scale
networks.
Physical review. E,
Journal Year:
2022,
Volume and Issue:
105(4)
Published: April 21, 2022
Since
the
discovery
of
chimera
states,
presence
a
nonzero
phase
lag
parameter
turns
out
to
be
an
essential
attribute
for
emergence
chimeras
in
nonlocally
coupled
identical
Kuramoto
oscillators'
network
with
pairwise
interactions.
In
this
Letter,
we
report
without
owing
introduction
nonpairwise
The
influence
added
nonlinearity
system
dynamics
form
simplicial
complexes
mitigates
requisite
states.
Chimera
states
stimulated
by
reciprocity
and
interaction
strengths
their
multistable
nature
are
characterized
appropriate
measures
demonstrated
spaces.
