Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2023,
Volume and Issue:
33(11)
Published: Nov. 1, 2023
The
membrane
potential
of
a
neuron
is
mainly
controlled
by
the
gradient
distribution
electromagnetic
field
and
concentration
diversity
between
intracellular
extracellular
ions.
Without
considering
thickness
material
property,
electric
characteristic
cell
described
capacitive
variable
output
voltage
in
an
equivalent
neural
circuit.
flexible
property
enables
controllability
endomembrane
outer
membrane,
properties
can
be
approached
double
membranes
connected
memristor
In
this
work,
two
capacitors
are
used
to
mimic
physical
two-layer
membranes,
inductive
channel
added
A
biophysical
obtained
energy
characteristic,
dynamics,
self-adaption
discussed,
respectively.
Coherence
resonance
mode
selection
adaptive
way
detected
under
noisy
excitation.
average
function
effective
predict
appearance
coherence
resonance.
An
law
proposed
control
parameters,
external
stimulus
explained
theoretical
way.
with
memristive
explains
self-adaptive
mechanism
parameter
changes
transition
from
viewpoint.
Mathematics,
Journal Year:
2023,
Volume and Issue:
11(6), P. 1369 - 1369
Published: March 11, 2023
Since
the
Lorenz
chaotic
system
was
discovered
in
1963,
construction
of
systems
with
complex
dynamics
has
been
a
research
hotspot
field
chaos.
Recently,
memristive
Hopfield
neural
networks
(MHNNs)
offer
great
potential
design
complex,
because
their
special
network
structures,
hyperbolic
tangent
activation
function,
and
memory
property.
Many
based
on
MHNNs
have
proposed
exhibit
various
dynamical
behaviors,
including
hyperchaos,
coexisting
attractors,
multistability,
extreme
multi-scroll
multi-structure
initial-offset
behaviors.
A
comprehensive
review
MHNN-based
become
an
urgent
requirement.
In
this
review,
we
first
briefly
introduce
basic
knowledge
Hopfiled
network,
memristor,
dynamics.
Then,
different
modeling
methods
are
analyzed
discussed.
Concurrently,
pioneering
works
some
recent
important
papers
related
to
reviewed
detail.
Finally,
survey
progress
for
application
scenarios.
Some
open
problems
visions
future
presented.
We
attempt
provide
reference
resource
both
chaos
researchers
those
outside
who
hope
apply
particular
application.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2023,
Volume and Issue:
33(2)
Published: Feb. 1, 2023
Connecting
memristors
into
any
neural
circuit
can
enhance
its
potential
controllability
under
external
physical
stimuli.
Memristive
current
along
a
magnetic
flux-controlled
memristor
estimate
the
effect
of
electromagnetic
induction
on
circuits
and
neurons.
Here,
charge-controlled
is
incorporated
one
branch
simple
to
an
electric
field.
The
field
energy
kept
in
each
component
respectively
calculated,
equivalent
dimensionless
function
H
obtained
discern
firing
mode
dependence
from
capacitive,
inductive,
memristive
channels.
HM
channel
occupies
highest
proportion
Hamilton
H,
neurons
present
chaotic/periodic
modes
because
large
injection
field,
while
bursting
spiking
behaviors
emerge
when
HL
holds
maximal
H.
modified
control
this
neuron
accompanying
with
parameter
shift
shape
deformation
resulting
accommodation
channel.
In
presence
noisy
disturbance
stochastic
resonance
induced
neuron.
Exposed
stronger
absorb
more
behave
as
signal
source
for
shunting,
negative
new
model
address
main
properties
biophysical
neurons,
it
further
be
used
explore
collective
self-organization
networks
flow
disturbance.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(3)
Published: March 1, 2024
The
functional
networks
of
the
human
brain
exhibit
structural
characteristics
a
scale-free
topology,
and
these
neural
are
exposed
to
electromagnetic
environment.
In
this
paper,
we
consider
effects
magnetic
induction
on
synchronous
activity
in
biological
networks,
effect
is
evaluated
by
four-stable
discrete
memristor.
Based
Rulkov
neurons,
network
model
established.
Using
initial
value
strength
as
control
variables,
numerical
simulations
carried
out.
research
reveals
that
exhibits
multiple
coexisting
behaviors,
including
resting
state,
period-1
bursting
synchronization,
asynchrony,
chimera
states,
which
dependent
different
values
multi-stable
addition,
observe
can
either
enhance
or
weaken
synchronization
when
parameters
neurons
vary.
This
investigation
significant
importance
understanding
adaptability
organisms
their
