Artificial
neural
networks
are
commonly
employed
to
mimic
biological
activities
in
the
brain.
Synapse
as
neuron
connecter
plays
an
important
role
information
transmission,
which
revises
dynamics
of
coupled
neurons
inevitably
or
even
bring
synchronization
behavior.
In
this
work,
by
coupling
FitzHugh-Nagumo
(FN)
and
Hindmarsh-Rose
(HR)
with
a
memristor
synapse,
5D
system
is
derived.
The
feature
memristive
including
period-doubling
bifurcation
chaotic
bursting
were
exhaustively
studied
through
phase
portraits,
Lyapunov
exponents,
diagrams.
It
shows
that
strength
synapse
poses
great
impact
on
evolution
membrane
potential
complete
synchronization.
addition,
derived
HR-FN
Neuron
has
property
offset
boosting
local
frequency
control.
Offset
unique
effects
when
exhibits
different
firing
dynamics.
Nonlinear Analysis Modelling and Control,
Год журнала:
2024,
Номер
29(3), С. 401 - 425
Опубликована: Янв. 3, 2024
In
this
paper,
the
finite-time
projective
synchronization
(FTPS)
problem
of
fractionalorder
quaternion-valued
fuzzy
memristor
neural
networks
(FOQVFMNNs)
is
studied.
Through
establishing
a
feedback
controller
with
signed
functions
and
an
adaptive
controller,
sufficient
conditions
for
FTPS
FOQVFMNNs
are
obtained.
Furthermore,
establishment
time
calculated.
Finally,
practicability
conclusions
verified
by
numerical
simulations.
Micromachines,
Год журнала:
2023,
Номер
14(12), С. 2233 - 2233
Опубликована: Дек. 12, 2023
With
the
development
of
memristor
theory,
application
in
field
nervous
system
has
achieved
remarkable
results
and
bright
prospects.
Flux-controlled
can
be
used
to
describe
magnetic
induction
effect
neuron.
Based
on
Hindmarsh-Rose
(HR)
neuron
model,
a
new
HR
model
is
proposed
by
introducing
flux-controlled
multi-frequency
excitation
with
high-low
frequency
current
superimposed.
Various
firing
patterns
under
single
multiple
stimuli
are
investigated.
The
exhibit
different
coexisting
patterns.
In
addition,
when
coupling
strength
changes,
stability
eliminated,
which
rare
phenomenon.
Moreover,
an
analog
circuit
built
verify
numerical
simulation
results.
Physica Scripta,
Год журнала:
2023,
Номер
98(10), С. 105242 - 105242
Опубликована: Сен. 25, 2023
Abstract
This
article
proposes
a
fractional
order
discrete-time
neuromuscular
model
incorporating
calcium
kinetics
to
study
the
essential
role
of
system
in
facilitating
rapid
information
transmission
between
nerve
cells
and
muscles
for
bodily
functions.
The
conducts
dynamical
analysis
investigate
stability
periodic
oscillations
presence
absence
tetanus
stimuli
from
neurons.
Bifurcation
diagrams
are
generated
different
orders
rate
constants,
highlighting
occurrence
chaotic
dynamics.
region
chaos
is
determined
using
largest
Lyapunov
exponents
Jacobian
matrix
method.
also
achieves
synchronization
systems
by
employing
nonlinear
control
functions
with
feedback
gains.
Emphasizing
significance
constructing
biological
operators,
provides
chemical
interpretation
analytical
findings.
Moreover,
employs
dynamic
plots
visually
depict
changing
variables
over
time,
allowing
an
examination
concurrent
multiple
attractors
through
bifurcation
phase
plane
portraits.
By
studying
how
muscle
activation
interrelated,
uncovers
captivating
revelations
that
could
guide
formulation
strategies
combat
disorders.
underscores
potential
utility
managing
conditions,
thus
emphasizing
its
practical
implications
disease
control.
