Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(11)
Published: Nov. 1, 2024
Firing
dynamics
and
its
energy
property
of
neuron
are
crucial
for
exploring
the
mechanism
intricate
information
processing
within
nervous
system.
However,
analysis
discrete
is
significantly
lacking
in
comparison
to
vast
literature
mature
theory
available
on
continuous
neuron,
thereby
necessitating
a
focused
effort
this
underexplored
realm.
In
paper,
we
introduce
Chaivlo
map
by
employing
flux-controlled
memristor
simulate
electromagnetic
radiation
(EMR),
detailed
firing
conducted
based
an
equivalent
Hamiltonian
approach.
Our
observations
reveal
that
range
energy-based
behaviors,
such
as
spike
firing,
coexistence
mixed-mode
chaotic
bursting
can
be
induced
EMR
injected
current.
To
delve
deeper
into
synchronous
dynamics,
establish
network
electrically
coupling
two
memristive
EMR-based
neurons.
Subsequently,
experimentally
evaluate
synchronization
behavior
quantifying
both
factor
average
difference
energy.
findings
conclusively
demonstrate
strength
positively
contribute
network's
ability.
Physica Scripta,
Journal Year:
2024,
Volume and Issue:
99(9), P. 095218 - 095218
Published: Aug. 8, 2024
Abstract
In
this
paper,
a
discrete
fracmemristor
(DFM)
model
is
derived
based
on
the
Caputo
difference,
and
new
fractional-order
chaotic
map
designed.
Dynamics
of
proposed
investigated
in
detail
by
means
Lyapunov
exponent
spectra,
bifurcation
diagrams,
PE
complexity
multistability
analyses.
Compared
with
coupled
integer-order
memristor
(DIM),
DFM
products
richer
dynamics,
including
larger
attractor
distribution,
fewer
numerically
periodic
windows,
higher
complexity.
Besides,
order
becomes
additional
parameter.
Finally,
implemented
Field-Programmable
Gate
Array
(FPGA)
platform,
applied
pseudorandom
number
generator
(PRNG),
which
further
demonstrates
its
application
value.
Physica Scripta,
Journal Year:
2024,
Volume and Issue:
99(11), P. 115030 - 115030
Published: Oct. 15, 2024
Abstract
Cell
membrane
of
biological
neurons
has
distinct
geometric
structure,
and
involvement
diffusive
term
is
suitable
to
estimate
the
spatial
effect
cell
on
neural
activities.
The
gradient
field
diversity
between
two
sides
can
be
approached
by
using
a
double-layer
model
for
neuron.
Therefore,
capacitive
variables
terms
are
used
investigate
activities
membrane,
local
kinetics
described
functional
circuit
composed
capacitors.
voltages
parallel
capacitors
describe
inner
outer
potentials,
ions
considered
surface.
results
reveal
that
relative
capacitance
ratio
inside
outside
coefficient.
High-energy
periodic
external
stimulation
induces
target
waves
spread
uniformly,
while
low-energy
chaotic
in
wave
fragmentation.
Furthermore,
when
exhibits
exponential
growth
under
an
adaptive
control
law,
resulting
energy
within
network
stable
waves.
That
is,
distribution
affects
propagation
pattern
formation
result
indicates
membranes
important
selection
firing
patterns
signal
processing
during
This
more
than
generic
oscillator-like
or
map
without
considering
effect.
