Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2023,
Номер
33(5)
Опубликована: Май 1, 2023
Synchronization
among
uncoupled
oscillators
can
emerge
when
common
noise
is
applied
on
them
and
famously
known
as
noise-induced
synchronization.
In
previous
studies,
it
was
assumed
that
may
drive
all
the
at
same
time
they
are
static
in
space.
Understanding
how
to
develop
a
mathematical
model
apply
only
fraction
of
significant
importance
for
Here,
we
propose
direction-dependent
field
synchronization
an
ensemble
mobile
oscillators/agents,
effective
each
moving
agent
function
its
direction
motion.
This
enables
application
if
agents
oriented
direction.
We
observe
not
complete
but
also
clustered
states
density
beyond
critical
value
intensity,
which
characteristic
internal
dynamics
agents.
Our
results
provide
deeper
understanding
even
mobility
affects
behaviors.
Applied Sciences,
Год журнала:
2024,
Номер
14(6), С. 2343 - 2343
Опубликована: Март 11, 2024
We
construct
hypergraphs
to
analyze
functional
brain
connectivity,
leveraging
event-related
coherence
in
magnetoencephalography
(MEG)
data
during
the
visual
perception
of
a
flickering
image.
Principal
network
characteristics
are
computed
for
delta,
theta,
alpha,
beta,
and
gamma
frequency
ranges.
Employing
measure,
statistical
estimate
correlation
between
signal
pairs
across
frequencies,
we
generate
an
edge
time
series,
depicting
how
evolves
over
time.
This
forms
basis
constructing
edge-to-edge
connectivity
network.
emphasize
hyperedges
as
connected
components
absolute-valued
Our
coherence-based
hypergraph
construction
specifically
addresses
among
four
lobes
both
hemispheres:
frontal,
parietal,
temporal,
occipital.
approach
enables
nuanced
exploration
individual
differences
within
diverse
bands,
providing
insights
into
dynamic
nature
tasks.
The
results
furnish
compelling
evidence
supporting
hypothesis
cortico–cortical
interactions
occurring
varying
scales.
derived
illustrates
robust
activation
patterns
specific
regions,
indicative
their
engagement
cognitive
contexts
different
bands.
findings
suggest
potential
integration
or
multifunctionality
examined
lobes,
contributing
valuable
perspectives
our
understanding
dynamics
perception.
Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 18, 2024
Involvement
of
memristive
term
and
additive
physical
variables
including
magnetic
flux
charge
can
enhance
the
description
biophysical
neurons.
Neural
circuits
coupled
with
memristors
be
built
tamed
to
mimic
intrinsic
characteristics
dynamical
properties
biological
neurons,
these
oscillator
models
are
effective
in
predicting
mode
transition
neural
activities
self-organization
collective
electric
behaviors
networks.
Any
proposal
map
neurons
requires
reliable
description.
For
example,
energy
definition
self-adaptive
working
mechanism
crucial
verify
reliability
maps.
A
capacitive
variable
is
useful
describe
membrane
potential,
while
complexity
ion
channels
careful
evaluation
by
using
inductive
relative
electromagnetic
field.
In
this
work,
a
charge-controlled
memristor
connected
an
inductor
series
for
building
hybrid
channel,
then
capacitor
nonlinear
resistor
combined
couple
channel.
As
result,
simple
circuit
designed
discern
inner
effect
field
synchronously.
The
function
defined
verified
theoretical
proof.
Furthermore,
linear
transformation
applied
convert
neuron
into
exact
description,
which
its
dynamics
will
controlled
adaptive
law
when
beyond
threshold.
Additive
noise
imposed
induce
coherence
resonance,
detected
statistical
analysis
average
value
Hamilton
during
changes
intensity.
This
scheme
provides
guidance
maps
regulation
explained
from
aspects.
Applied Sciences,
Год журнала:
2024,
Номер
14(23), С. 11296 - 11296
Опубликована: Дек. 4, 2024
As
our
understanding
of
the
brain
continues
to
advance,
so
too
does
demand
for
sophisticated
tools
that
can
model,
simulate,
and
interpret
intricate
data
generated
by
contemporary
neuroimaging
electrophysiological
techniques
[...]
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2023,
Номер
33(5)
Опубликована: Май 1, 2023
Synchronization
among
uncoupled
oscillators
can
emerge
when
common
noise
is
applied
on
them
and
famously
known
as
noise-induced
synchronization.
In
previous
studies,
it
was
assumed
that
may
drive
all
the
at
same
time
they
are
static
in
space.
Understanding
how
to
develop
a
mathematical
model
apply
only
fraction
of
significant
importance
for
Here,
we
propose
direction-dependent
field
synchronization
an
ensemble
mobile
oscillators/agents,
effective
each
moving
agent
function
its
direction
motion.
This
enables
application
if
agents
oriented
direction.
We
observe
not
complete
but
also
clustered
states
density
beyond
critical
value
intensity,
which
characteristic
internal
dynamics
agents.
Our
results
provide
deeper
understanding
even
mobility
affects
behaviors.