Research Square (Research Square),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Sept. 28, 2023
Abstract
During
continuous
diffusion
and
propagation
of
intracellular
ions,
energy
transition
between
electric
magnetic
field
is
proceeded
to
present
appropriate
firing
patterns.
For
theoretical
neuron
models,
an
equivalent
Hamilton
derived
by
Helmholtz
theorem.
neural
circuits,
the
can
also
be
obtained
applying
scale
transformation
on
function.
External
stimuli
injects
into
neuron,
level
induced
accompanying
with
mode
in
neuronal
activity.
On
flip
side,
large
external
induce
shape
deformation
cell
possible
parameter
shift
occurs
keep
deterministic
models.
In
this
letter,
function
for
Hindmarh-Rose
estimated
a
criterion
levels
modes
defined
explained.
It
provides
clues
understanding
dependencies
pattern
selection
discharge
adaptive
controllability
neurons,
thus
activities
neurons
nervous
system
controlled
regulating
flow.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(2)
Published: Feb. 1, 2024
Synchronization
holds
a
significant
role,
notably
within
chaotic
systems,
in
various
contexts
where
the
coordinated
behavior
of
systems
plays
pivotal
and
indispensable
role.
Hence,
many
studies
have
been
dedicated
to
investigating
underlying
mechanism
synchronization
systems.
Networks
with
time-varying
coupling,
particularly
those
blinking
proven
essential.
The
reason
is
that
such
coupling
schemes
introduce
dynamic
variations
enhance
adaptability
robustness,
making
them
applicable
real-world
scenarios.
This
paper
introduces
novel
adaptive
wherein
adapts
dynamically
based
on
most
influential
variable
exhibiting
average
disparity.
To
ensure
an
equitable
selection
effective
at
each
time
instance,
difference
normalized
synchronous
solution’s
range.
Due
this
selection,
enhancement
expected
be
observed.
hypothesis
assessed
networks
identical
encompassing
Lorenz,
Rössler,
Chen,
Hindmarsh–Rose,
forced
Duffing,
van
der
Pol
results
demonstrated
substantial
improvement
when
employing
applying
normalization
process.
Physical review. E,
Journal Year:
2024,
Volume and Issue:
109(4)
Published: April 24, 2024
Ensembles
of
coupled
nonlinear
oscillators
are
a
popular
paradigm
and
an
ideal
benchmark
for
analyzing
complex
collective
behaviors.
The
onset
cluster
synchronization
is
found
to
be
at
the
core
various
technological
biological
processes.
current
literature
has
investigated
by
focusing
mostly
on
case
attractive
coupling
among
oscillators.
However,
two
coexisting
competing
interactions
practical
interest
due
their
relevance
in
diverse
natural
settings,
including
neuronal
networks
consisting
excitatory
inhibitory
neurons,
coevolving
social
model
with
voters
opposite
opinions,
ecological
plant
communities
both
facilitation
competition,
name
few.
In
present
article,
we
investigate
impact
repulsive
spanning
trees
formation
within
connected
network
attractively
limit-cycle
We
successfully
predict
which
nodes
belong
each
emergent
frustration
independent
particular
local
dynamics
nodes.
also
determine
asymptotic
stability
states
using
approach
based
formulation
master
function.
additionally
validate
emergence
solitary
antisynchronization
some
specific
choices
networks.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(5)
Published: May 1, 2024
The
first
step
toward
advancing
our
understanding
of
complex
networks
involves
determining
their
connectivity
structures
from
the
time
series
data.
These
are
often
high-dimensional,
and
in
practice,
only
a
limited
amount
data
can
be
collected.
In
this
work,
we
formulate
network
inference
task
as
bilinear
optimization
problem
propose
an
iterative
algorithm
with
sequential
initialization
to
solve
program.
We
demonstrate
scalability
approach
size
its
robustness
against
measurement
noise,
hyper-parameter
variation,
deviations
model.
Results
across
experimental
simulated
datasets,
comprising
oscillatory,
non-oscillatory,
chaotic
dynamics,
showcase
superior
accuracy
technique
compared
existing
methods.
Physical review. E,
Journal Year:
2023,
Volume and Issue:
108(4)
Published: Oct. 26, 2023
Positive
phase
coupling
plays
an
attractive
role
in
inducing
in-phase
synchrony
ensemble
of
oscillators.
involving
both
amplitude
and
continues
to
be
attractive,
leading
complete
identical
oscillators
(limit
cycle
or
chaotic)
coherence
with
heterogeneity
parameters.
In
contrast,
purely
positive
velocity
may
originate
a
repulsive
effect
on
pendulumlike
(with
rotational
motion)
bring
them
into
state
diametrically
opposite
phases
splay
state.
Negative
is
necessary
induce
the
general
sense.
The
contrarian
roles
networks
second-order
have
been
explored
here.
We
explain
our
proposition
using
two
model
systems,
oscillator
representing
pendulum
superconducting
Josephson
junction
dynamics,
voltage-controlled
oscillations
neurons
model.
Numerical
as
well
semianalytical
approaches
are
used
confirm
results.
