Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2023,
Volume and Issue:
33(5)
Published: May 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.
Physical review. E,
Journal Year:
2023,
Volume and Issue:
108(2)
Published: Aug. 10, 2023
The
study
by
Semenova
et
al.
[Phys.
Rev.
Lett.
117,
014102
(2016)]
discovered
a
type
of
chimera
state
known
as
coherence-resonance
(CRC),
which
combines
the
effects
coherence
resonance
(CR)
and
spatial
property
classical
chimeras.
In
this
Letter,
we
present
yet
another
form
chimera,
refer
to
self-induced-stochastic-resonance
breathing
(SISR-BC),
differs
fundamentally
from
CRC
in
that
it
mechanism
self-induced
stochastic
(SISR,
previously
shown
DeVille
E
72,
031105
(2005)]
be
intrinsically
different
CR),
symmetry
breaking
rotational
coupling
between
slow
fast
subsystems
coupled
oscillators,
chimera---a
characterized
nonstationary
periodic
dynamics
coherent-incoherent
patterns
with
periodically
oscillating
global
order
parameter.
Unlike
other
types
chimeras,
including
CRC,
SISR-BC
demonstrates
remarkable
resilience
relatively
wide
range
perturbations
persists
even
when
purely
excitable
system
is
significantly
distant
Hopf
bifurcation
threshold---thanks
SISR---and
globally
attracts
random
distributions
initial
conditions.
Considering
its
potential
impact
on
information
processing
neuronal
networks,
could
have
special
significance
applications.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(11)
Published: Nov. 1, 2024
Inverse
stochastic
resonance
(ISR)
is
a
counterintuitive
phenomenon
where
noise
reduces
the
oscillation
frequency
of
an
oscillator
to
minimum
occurring
at
intermediate
intensity,
and
sometimes
even
complete
absence
oscillations.
In
neuroscience,
ISR
was
first
experimentally
verified
with
cerebellar
Purkinje
neurons
[Buchin
et
al.,
PLOS
Comput.
Biol.
12,
e1005000
(2016)].
These
experiments
showed
that
enables
locally
optimal
information
transfer
between
input
output
spike
train
neurons.
Subsequent
studies
have
further
demonstrated
efficiency
processing
in
neural
networks
small-world
network
topology.
We
conducted
numerical
investigation
into
impact
adaptivity
on
noisy
FitzHugh-Nagumo
(FHN)
neurons,
operating
bi-metastable
regime
consisting
metastable
fixed
point
limit
cycle.
Our
results
show
degree
highly
dependent
value
FHN
model's
timescale
separation
parameter
ε.
The
structure
undergoes
dynamic
adaptation
via
mechanisms
either
spike-time-dependent
plasticity
(STDP)
potentiation-/depression-domination
P
or
homeostatic
structural
(HSP)
rewiring
F.
demonstrate
both
STDP
HSP
amplify
effect
when
ε
lies
within
bi-stability
region
Specifically,
larger
values
regime,
higher
frequencies
F
are
observed
enhance
(weak)
synaptic
intensities,
while
consistent
depression-domination
(potentiation-domination)
consistently
(deteriorate)
ISR.
Moreover,
although
control
parameters
may
jointly
ISR,
has
greater
improving
compared
findings
inform
future
enhancement
strategies
artificial
circuits,
aiming
optimize
local
trains
neuromorphic
systems
prompt
venues
for
networks.
Physical review. E,
Journal Year:
2025,
Volume and Issue:
111(1)
Published: Jan. 3, 2025
Thermodynamic
uncertainty
relation
(TUR)
bounds
coherence
in
stochastic
oscillatory
systems.
In
this
paper,
we
show
that
both
dynamical
and
thermodynamic
play
important
roles
for
the
excitable
oscillators,
e.g.,
neurons.
Firstly,
investigate
trade-off
between
dissipation
sub-
superthreshold
regions
a
single
unit,
where
TUR
saddle-node
on
an
invariant
circle
(SNIC)
constrain
fluctuation
of
interspike
intervals.
Secondly,
widely
studied
phenomenon
called
resonance,
there
exists
noise
strength
to
make
responses
system
most
coherent,
is
also
bounded
by
one-dimensional
phase
model.
Finally,
study
coherence-dissipation
ensembles
strongly
coupled
oscillators.
Physical review. E,
Journal Year:
2025,
Volume and Issue:
111(2)
Published: Feb. 21, 2025
A
new
behavior
type
of
reservoir
computing
model
for
predicting
dynamics
stochastic
systems
has
been
observed.
It
shown
that
when
the
control
parameters
predicted
system
and
are
turned,
we
observe
intermittent
behavior,
i.e.,
close
to
threshold
parameter
value
demonstrates
accurate
prediction
most
time,
but
there
time
intervals
during
which
is
interrupted
by
characterized
lack
prediction.
The
characteristics
intermittency
in
correspond
well-known
on--off
intermittency.
concept
effective
noise
describe
quality
proposed,
technique
its
amplitude
estimation
developed.
