Nelineinaya Dinamika,
Journal Year:
2023,
Volume and Issue:
19(3), P. 389 - 408
Published: Jan. 1, 2023
This
study
examines
the
phenomenon
of
vibrational
resonance
(VR)
in
a
classical
positiondependent
mass
(PDM)
system
characterized
by
three
types
single-well
potentials.
These
potentials
are
influenced
an
amplitude-modulated
(AM)
signal
with
$\Omega\gg\omega$.
Our
analysis
is
limited
to
following
parametric
choices:
<br>
(i)
$\omega_0^2$,
$\beta$,
$m_0$,
$\lambda>0$
(type-1
single-well),
(ii)
$\omega_0^2>0$,
$\beta
<0$,
$2<
m_0
<3$,
$1<
\lambda
<2$
(type-2
(iii)
$0<
<2$,
$0<\lambda<1$
(type-3
single-well).
The
presents
intriguing
scenario
which
PDM
function
significantly
contributes
occurrence
VR.
In
addition
analytical
derivation
equation
for
slow
motions
based
on
high-frequency
signal’s
parameters
using
method
direct
separation
motion,
numerical
evidence
presented
VR
and
its
basic
dynamical
behaviors
investigated.
Based
findings
this
paper,
weak
low-frequency
within
can
be
either
attenuated
or
amplified
manipulating
parameters,
such
as
amplitude
($m_0$)
spatial
nonlinearity
$\lambda$.
outcomes
investigations
validated
further
supported
through
simulations.
Physical review. E,
Journal Year:
2025,
Volume and Issue:
111(3)
Published: March 24, 2025
Community
modularity
structure
is
widely
observed
across
various
brain
scales,
reflecting
a
balance
between
information
processing
efficiency
and
neural
wiring
metabolic
efficiency.
Revealing
the
relationship
community
function
facilitates
our
further
understanding
of
brain.
Here,
we
construct
an
adaptive
network
(ANN)
consisting
leaky
integrate-and-fire
neurons
with
adaptivity
governed
by
spike-time-dependent
plasticity
rules.
The
ANN
demonstrates
diverse
dynamic
collective
behaviors,
including
traveling
waves
dominated
initial
states,
phase-cluster
formations,
chimeralike
states.
In
addition
to
functional
clustering,
spontaneously
organizes
into
structures
characterized
densely
interconnected
modules
sparse
interconnections.
Neurons
within
synchronize,
while
those
remain
asynchronous,
forming
By
encoding
rhythms,
segments
asynchronous
synchronous
structural
modules,
leading
These
findings
provide
evidence
supporting
perspective
that
emerges
from
influenced
in
complex
processes.
International Journal of Systems Science,
Journal Year:
2024,
Volume and Issue:
55(6), P. 1114 - 1126
Published: Jan. 18, 2024
In
the
paper,
exponential
synchronisation
for
delayed
Clifford-valued
coupled
switched
neural
networks
via
static
event-triggering
rule
is
studied.
Firstly,
drive-response
systems
network
models
are
established.
So
as
to
avoid
non-commutativity
issue
of
Clifford
number
multiplication,
original
n-dimensional
decomposed
into
2mn-dimensional
real-valued
models.
On
this
basis,
error
dynamics
system
constructed,
and
then
some
new
sufficient
conditions
presented
considered
by
using
Lyapunov–Krasovskii
(L-K)
functional
approach
technique
linear
matrix
inequality.
Finally,
effectiveness
results
verified
numerical
simulations.
Brain Sciences,
Journal Year:
2025,
Volume and Issue:
15(2), P. 186 - 186
Published: Feb. 13, 2025
Brain-inspired
models
are
commonly
employed
for
artificial
intelligence.
However,
the
complex
environment
can
hinder
performance
of
electronic
equipment.
Therefore,
enhancing
injury
resistance
brain-inspired
is
a
crucial
issue.
Human
brains
have
self-adaptive
abilities
under
injury,
so
drawing
on
advantages
human
brain
to
construct
model
intended
enhance
its
resistance.
But
current
still
lack
bio-plausibility,
meaning
they
do
not
sufficiently
draw
real
neural
systems'
structure
or
function.
To
address
this
challenge,
paper
proposes
spiking
network
(Com-SNN)
as
model,
in
which
topology
inspired
by
topological
characteristics
biological
functional
networks,
nodes
Izhikevich
neuron
models,
and
edges
synaptic
plasticity
with
time
delay
co-regulated
excitatory
synapses
inhibitory
synapses.
evaluate
Com-SNN,
two
injury-resistance
metrics
investigated
compared
SNNs
alternative
topologies
stochastic
removal
simulate
consequence
attacks.
In
addition,
mechanism
remains
unclear,
revealing
understanding
development
analyzes
dynamic
regulation
Com-SNN
The
experimental
results
indicate
that
superior
other
SNNs,
demonstrating
our
help
improve
SNNs.
Our
imply
an
intrinsic
element
impacting
resistance,
another
impacts