Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(12)
Опубликована: Дек. 1, 2024
The
phenomenon
of
load
redistribution
in
complex
networks
has
garnered
extensive
attention
due
to
its
profound
impact
and
widespread
occurrence.
In
recent
years,
higher-order
structures
have
offered
new
insights
into
understanding
the
dynamic
processes
networks.
However,
influence
these
on
dynamics
redistribution,
cascade
failures,
recovery
remains
be
fully
explored.
this
study,
we
propose
model
with
strategies
failure
based
functional
upgrading
reconstruction
mechanisms.
cascading
process
strategies,
find
that
can
induce
a
discontinuous
phase
transition
at
low
proportion
displays
dual
character
being
robust
yet
fragile.
These
findings
been
examined
both
real
classical
modeled
Interestingly,
largest
connected
component
exhibits
three
distinct
modes
as
attack
ratio
increases
high
densities
International Journal of Modern Physics C,
Год журнала:
2024,
Номер
unknown
Опубликована: Апрель 19, 2024
In
many
systems,
from
brain
neural
networks
to
epidemic
transmission
networks,
pairwise
interactions
are
insufficient
express
complex
relationships.
Nodes
sometimes
cooperate
and
form
groups
increase
their
robustness
risks,
each
such
group
can
be
considered
a
“supernode”.
Furthermore,
previous
studies
of
cascading
failures
in
interdependent
have
typically
concentrated
on
node
coupling
connections;
however,
realistic
scenarios,
occur
between
the
edges
connecting
nodes
rather
than
themselves.
Networks
this
type
called
edge-coupled
networks.
To
better
reflect
real
world,
paper,
we
construct
theoretical
model
two-layer
partially
network
with
groups,
where
all
same
functionally
dependent
other.
We
identify
several
types
phase
transitions,
namely,
discontinuous,
hybrid
continuous,
which
determined
by
strength
dependency
distribution
supernodes.
first
apply
our
developed
mathematical
framework
ErdsRnyi
scale-free
equally
sized
analytically
numerically
calculate
transition
thresholds
critical
strengths
that
distinguish
different
transitions.
then
investigate
influence
size
presenting
examples
two
heterogeneous
distributions.
Our
predictions
numerical
findings
close
agreement,
demonstrating
decreasing
increasing
heterogeneity
results
significant
implications
for
design
optimization
security
fill
knowledge
gap
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(8)
Опубликована: Авг. 1, 2024
In
reality,
pairwise
interactions
are
no
longer
sufficient
to
describe
the
higher-order
between
nodes,
such
as
brain
networks,
social
etc.,
which
often
contain
groups
of
three
or
more
nodes.
Since
failure
one
node
in
a
high-order
network
can
lead
all
simplices
it
is
located
and
quickly
propagates
whole
system
through
interdependencies
multilayered
interdependent
networks
challenged
with
high
vulnerability
risks.
To
increase
robustness
this
paper,
we
proposed
theoretical
model
two-layer
partial
network,
where
proportion
reinforced
nodes
introduced
that
function
support
their
components,
even
losing
connection
giant
component.
We
study
order
parameter
model,
including
component
functional
components
containing
at
least
node,
via
analysis
simulations.
Rich
phase
transition
phenomena
be
observed
by
varying
density
2-simplices
network’s
Increasing
makes
double
appear
network.
The
alter
type
second
from
discontinuous
continuous
transition-free,
verified
on
random
simplicial
complex,
scale-free
real-world
datasets,
indicating
significantly
enhance
prevent
abrupt
collapse.
Therefore,
provides
insights
for
designing
robust
infrastructure
networks.
Systems,
Год журнала:
2024,
Номер
12(10), С. 433 - 433
Опубликована: Окт. 14, 2024
Problem:
Predicting
dependency
relationships
in
nonequilibrium
systems
is
a
critical
challenge
complex
research.
Solution
proposed:
In
this
paper,
we
propose
novel
method
for
predicting
dependent
edges
network
models
of
systems,
based
on
overlapping
module
features.
This
approach
addresses
the
many-to-many
prediction
problem
between
networks.
By
transforming
node-based
into
edge-based
models,
identify
modular
structures,
enabling
edges.
Experimental
evaluation:
applied
to
edge
power
and
gas
networks,
curriculum
competency
text
question
Results:
The
results
indicate
that
proposed
enhances
robustness
power–gas
accurately
identifies
supporting
curriculum–competency
achieves
better
information
gain
text–question
Conclusion:
These
findings
confirm
module-based
effectively
predicts
dependencies
across
various
diverse
fields.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(12)
Опубликована: Дек. 1, 2024
The
phenomenon
of
load
redistribution
in
complex
networks
has
garnered
extensive
attention
due
to
its
profound
impact
and
widespread
occurrence.
In
recent
years,
higher-order
structures
have
offered
new
insights
into
understanding
the
dynamic
processes
networks.
However,
influence
these
on
dynamics
redistribution,
cascade
failures,
recovery
remains
be
fully
explored.
this
study,
we
propose
model
with
strategies
failure
based
functional
upgrading
reconstruction
mechanisms.
cascading
process
strategies,
find
that
can
induce
a
discontinuous
phase
transition
at
low
proportion
displays
dual
character
being
robust
yet
fragile.
These
findings
been
examined
both
real
classical
modeled
Interestingly,
largest
connected
component
exhibits
three
distinct
modes
as
attack
ratio
increases
high
densities
