Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(10)
Published: Oct. 1, 2024
Neurons
in
an
excitable
mode
do
not
show
spiking
activity
and,
therefore,
contribute
to
information
transfer
transmission
and
its
processing.
However,
some
external
influences,
coupling,
or
time
delay
can
lead
the
appearance
of
oscillations
individual
systems
networks.
The
main
goal
this
paper
is
uncover
connection
parameters
influences
that
arising
behavior
a
small
network
locally
coupled
FitzHugh–Nagumo
oscillators.
In
study,
we
analyze
dynamics
absence
presence
several
types
influences.
First,
consider
impact
periodic-pulse
exposure
generated
as
periodic
sequence
Gaussian
pulses.
Second,
what
be
induced
by
far
less
regular
pulsed
influence
(Lévy
noise)
special
case
called
white
noise.
For
all
have
identified
appropriate
(local
coupling
strength,
intensity,
frequency)
induce
network.
Physical review. E,
Journal Year:
2025,
Volume and Issue:
111(1)
Published: Jan. 21, 2025
We
explore
chimera
states
in
a
ring
of
nonlocally
coupled
type-I
excitable
phase
oscillators,
with
each
isolated
oscillator
being
restricted
to
homogeneous
equilibrium
state.
Our
study
identifies
the
presence
breathing
states,
characterized
by
their
oscillatory
dynamics
and
periodic
fluctuations
global
order
parameter.
Beyond
single
coherent
cluster,
we
find
2n-cluster
where
2n
represents
an
even
number
clusters.
These
exhibit
varying
difference
between
adjacent
clusters
consistent
among
separated
one
intermediate
cluster.
The
is
found
be
modulated
relative
coupling
radius.
for
finite
oscillators
are
well
confirmed
Ott-Antonsen
ansatz.
locked
icon
Physics
Subject
Headings
(PhySH)Chimera
statesCoupled
oscillatorsSynchronization
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(7)
Published: July 1, 2024
In
this
article,
we
consider
the
influence
of
a
periodic
sequence
Gaussian
pulses
on
chimera
state
in
ring
coupled
FitzHugh-Nagumo
systems.
We
found
that
way
to
complete
spatial
synchronization,
one
can
observe
number
variations
states
are
not
typical
for
parameter
range
under
consideration.
For
example,
following
modes
were
found:
breathing
chimera,
with
intermittency
incoherent
part,
traveling
strong
intermittency,
and
others.
comparison,
here
also
impact
harmonic
same
preserve
generality
conclusions,
compare
regimes
caused
by
both
purely
positive
positive-negative
one.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2023,
Volume and Issue:
33(9)
Published: Sept. 1, 2023
We
explore
numerically
the
impact
of
additive
Gaussian
noise
on
spatiotemporal
dynamics
ring
networks
nonlocally
coupled
chaotic
maps.
The
local
network
nodes
is
described
by
logistic
map,
Ricker
and
Henon
map.
2D
distributions
probability
observing
chimera
states
are
constructed
in
terms
coupling
strength
intensity
for
several
choices
parameters.
It
shown
that
range
can
be
widest
at
a
certain
optimum
level
which
observed
with
high
large
number
different
realizations
randomly
distributed
initial
conditions
sources.
This
phenomenon
demonstrates
constructive
role
analogy
effects
stochastic
coherence
resonance
may
referred
to
as
resonance.
Research Square (Research Square),
Journal Year:
2024,
Volume and Issue:
unknown
Published: April 12, 2024
Abstract
Noise
can
induce
nontrivial
behaviors
in
systems
with
multiple
timescales.
The
dynamical
reduction
of
fast-slow
remains
a
challenging
and
intriguing
problem.
Self-induced
stochastic
resonance
is
noise-induced
coherent
phenomenon
that
noise
introduced
to
the
fast
dynamics.
By
applying
embedding
phase
approach,
synchronization
two
non-identically
coupled
self-induced
oscillators
are
investigated.
first
passage
time
distribution
on
slow
manifolds,
which
crucial
reduced
equation,
well
approximated
by
Weibull
continuously
estimated
regarding
intensity
polynomial
interpolation.
effectiveness
equation
validated
Monte
Carlo
simulations.
methods
results
may
motivate
data-based
investigations
other
timescale
experimental
findings.
Research Square (Research Square),
Journal Year:
2024,
Volume and Issue:
unknown
Published: May 15, 2024
Abstract
Neurons
in
an
excitable
mode
do
not
show
spiking
activity
and
therefore
contribute
to
the
information
transfer
transmission
its
processing.
However,
some
external
influences,
coupling
or
time
delay
can
lead
appearance
oscillations
individual
systems
networks.
In
this
study,
we
analyze
dynamics
of
a
small
network
locally
coupled
FitzHugh–Nagumo
oscillators
absence
presence
several
types
influence.
Firstly,
consider
impact
periodic-pulse
exposure
generated
as
periodic
sequence
Gaussian
pulses.
Secondly,
what
behavior
be
induced
by
Lévy
noise
special
case,
white
noise.
For
both
have
identified
appropriate
parameters
(local
strength,
intensity,
frequency)
that
induces
network.
