Electronics,
Год журнала:
2024,
Номер
13(10), С. 1990 - 1990
Опубликована: Май 20, 2024
The
scope
of
complex
dynamical
networks
(CDNs)
with
dynamic
edges
is
very
wide,
as
it
composed
a
class
realistic
including
web-winding
systems,
communication
networks,
neural
etc.
However,
classic
research
topic
in
CDNs,
the
synchronization
control
problem,
has
not
been
effectively
solved
for
CDNs
edges.
This
paper
will
investigate
emergence
mechanism
from
perspective
large-scale
systems.
Firstly,
CDN
conceptualized
an
interconnected
coupled
system
edge
subsystem
(ES)
and
node
(NS).
Then,
based
on
proposed
improved
directed
matrix
ES
model
expanded
inequality,
this
overcomes
limitations
coupling
term
design
models
strong
correlation
tracking
targets
between
nodes
Due
to
effect
synthesized
controller
auxiliary
ES,
state
can
be
realized
CDN.
Finally,
through
simulation
examples,
validity
advantages
our
work
compared
existing
methods
are
demonstrated.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(12)
Опубликована: Дек. 1, 2024
Parkinson’s
disease
(PD)
is
a
highly
prevalent
neurodegenerative
disorder
that
poses
significant
challenge
in
terms
of
accurate
and
cost-effective
diagnosis.
This
study
focuses
on
the
use
fractal
features
derived
from
nocturnal
breathing
signals
to
diagnose
PD.
Our
includes
49
individuals
with
(PD
group),
relatively
healthy
without
PD
(HC
but
other
diseases
(NoPD
as
well
12
additional
patients
200
for
testing.
Using
multifractal
detrended
fluctuation
analysis,
we
extracted
signals,
logistic
regression
models
applied
PD,
demonstrated
receiver
operating
characteristic
curves.
Eight
show
diagnostic
potential
including
generalized
Hurst
exponents
Airflow,
Thorax,
Abdomen
spectrum
width
SaO2
signal.
Finally,
area
under
curve
(AUC)
training
data
set
HC
groups
all
four
0.911,
AUC
testing
0.929.
These
results
demonstrate
this
work
enhance
accuracy
diagnosis
clinical
settings.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(12)
Опубликована: Дек. 1, 2024
Adaptive
network
is
a
powerful
presentation
to
describe
different
real-world
phenomena.
However,
current
models
often
neglect
higher-order
interactions
(beyond
pairwise
interactions)
and
diverse
adaptation
types
(cooperative
competitive)
commonly
observed
in
systems
such
as
the
human
brain
social
networks.
This
work
addresses
this
gap
by
incorporating
these
factors
into
model
that
explores
their
impact
on
collective
properties
synchronization.
Through
simplified
representations,
we
investigate
how
simultaneous
presence
of
cooperative
competitive
adaptations
influences
phase
transitions.
Our
findings
reveal
transition
from
first-order
second-order
synchronization
strength
increases
under
adaptation.
We
also
demonstrate
possibility
even
without
interactions,
provided
there
strong
enough
coupling.
When
only
are
present,
system
exhibits
second-order-like
transitions
clustering.
Conversely,
with
combination
adaptations,
undergoes
first-order-like
transition,
characterized
sharp
synchronized
state
reverting
an
incoherent
during
backward
The
specific
nature
varies
depending
coupling
strengths
mean
degrees.
With
our
model,
can
control
not
when
synchronizes
but
way
goes
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2023,
Номер
33(12)
Опубликована: Дек. 1, 2023
We
study
low-dimensional
dynamics
in
a
Kuramoto
model
with
inertia
and
Hebbian
learning.
In
this
model,
the
coupling
strength
between
oscillators
depends
on
phase
differences
changes
according
to
learning
rule.
analyze
special
case
of
two
coupled
oscillators,
which
yields
five-dimensional
dynamical
system
that
decouples
into
two-dimensional
longitudinal
three-dimensional
transverse
system.
readily
write
an
exact
solution
system,
we
then
focus
our
attention
classify
stability
system’s
equilibrium
points
using
linear
analysis.
show
is
dissipative
all
its
trajectories
are
eventually
confined
bounded
region.
compute
Lyapunov
exponents
infer
possible
limiting
behaviors,
demarcate
parameter
regions
three
qualitatively
different
behaviors.
Using
insights
from
analysis
dynamics,
examine
original
high-dimensional
situation
draw
intrinsic
frequencies
Gaussian
distributions
variances.
Electronics,
Год журнала:
2024,
Номер
13(10), С. 1990 - 1990
Опубликована: Май 20, 2024
The
scope
of
complex
dynamical
networks
(CDNs)
with
dynamic
edges
is
very
wide,
as
it
composed
a
class
realistic
including
web-winding
systems,
communication
networks,
neural
etc.
However,
classic
research
topic
in
CDNs,
the
synchronization
control
problem,
has
not
been
effectively
solved
for
CDNs
edges.
This
paper
will
investigate
emergence
mechanism
from
perspective
large-scale
systems.
Firstly,
CDN
conceptualized
an
interconnected
coupled
system
edge
subsystem
(ES)
and
node
(NS).
Then,
based
on
proposed
improved
directed
matrix
ES
model
expanded
inequality,
this
overcomes
limitations
coupling
term
design
models
strong
correlation
tracking
targets
between
nodes
Due
to
effect
synthesized
controller
auxiliary
ES,
state
can
be
realized
CDN.
Finally,
through
simulation
examples,
validity
advantages
our
work
compared
existing
methods
are
demonstrated.
