Grid
multi-scroll/wing
chaotic
systems
are
complex
non-linear
dynamic
systems,
which
widely
used
in
secure
communication.
The
grid
usually
realized
by
using
the
function
control
method,
has
a
realization
many
parameters,
and
simple
unit
attractor
structure.
In
this
paper,
based
on
Hopfield
neural
network,
memristive
network
model
is
proposed
memristor
synapse
method.
can
generate
novel
multi-structure
attractors,
have
characteristics
of
implementation
few
Firstly,
generation
mechanism
attractors
analyzed
equilibrium
points
stability.
Secondly,
its
basic
dynamical
including
Lyapunov
exponent
spectrum,
fractal
dimension,
time
series,
power
bifurcation
diagram,
Poincaré
section
analyzed.
Thirdly,
an
analog
circuit
designed
Multisim.
Finally,
combined
with
chaos
encryption
principle,
image
scheme
generated
attractors.
Experimental
results
show
that
compared
existing
schemes,
larger
information
entropy,
higher
key
sensitivity,
good
application
prospect.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2023,
Номер
33(8)
Опубликована: Авг. 1, 2023
Establishing
a
realistic
and
multiplier-free
implemented
biological
neuron
model
is
significant
for
recognizing
understanding
natural
firing
behaviors,
as
well
advancing
the
integration
of
neuromorphic
circuits.
Importantly,
memristors
play
crucial
role
in
constructing
memristive
network
models
by
simulating
synapses
or
electromagnetic
induction.
However,
existing
lack
consideration
initial-boosted
extreme
multistability
its
associated
energy
analysis.
To
this
end,
we
propose
implementation
Rulkov
utilize
periodic
memristor
to
represent
induction
effect,
thereby
achieving
biomimetic
modeling
non-autonomous
(mRulkov)
neuron.
First,
theoretical
analysis
demonstrates
that
stability
distribution
time-varying
line
equilibrium
point
determined
both
parameters
memristor’s
initial
condition.
Furthermore,
numerical
simulations
show
mRulkov
can
exhibit
parameter-dependent
local
spiking,
hidden
bursting
behaviors.
In
addition,
based
on
characteristics
memductance
function,
topological
invariance
comprehensively
proved.
Therefore,
basins
attraction,
bifurcation
diagrams,
attractors
related
be
boosted
switching
Significantly,
novel
discovered
first
time.
More
importantly,
transition
with
boosting
dynamics
revealed
through
computing
Hamilton
distribution.
Finally,
develop
simulation
circuit
confirm
effectiveness
accuracy
results
PSpice
simulations.
Mathematics,
Год журнала:
2023,
Номер
11(21), С. 4470 - 4470
Опубликована: Окт. 28, 2023
This
paper
presents
a
study
on
memristive
two-neuron-based
Hopfield
neural
network
with
fractional-order
derivatives.
The
equilibrium
points
of
the
system
are
identified,
and
their
stability
is
analyzed.
Bifurcation
diagrams
obtained
by
varying
magnetic
induction
strength
derivative,
revealing
significant
changes
in
dynamics.
It
observed
that
lower
fractional
orders
result
an
extended
bistability
region.
Also,
chaos
only
for
larger
strengths
orders.
Additionally,
application
model
image
encryption
explored.
results
demonstrate
based
efficient
high
key
sensitivity.
leads
to
encrypted
entropy,
neglectable
correlation
coefficient,
uniform
distribution.
Furthermore,
shows
resistance
differential
attacks,
cropping
noise
pollution.
Peak
Signal-to-Noise
Ratio
(PSNR)
calculations
indicate
using
derivative
yields
higher
PSNR
compared
integer
derivative.
Grid
multi-scroll/wing
chaotic
systems
are
complex
non-linear
dynamic
systems,
which
widely
used
in
secure
communication.
The
grid
usually
realized
by
using
the
function
control
method,
has
a
realization
many
parameters,
and
simple
unit
attractor
structure.
In
this
paper,
based
on
Hopfield
neural
network,
memristive
network
model
is
proposed
memristor
synapse
method.
can
generate
novel
multi-structure
attractors,
have
characteristics
of
implementation
few
Firstly,
generation
mechanism
attractors
analyzed
equilibrium
points
stability.
Secondly,
its
basic
dynamical
including
Lyapunov
exponent
spectrum,
fractal
dimension,
time
series,
power
bifurcation
diagram,
Poincaré
section
analyzed.
Thirdly,
an
analog
circuit
designed
Multisim.
Finally,
combined
with
chaos
encryption
principle,
image
scheme
generated
attractors.
Experimental
results
show
that
compared
existing
schemes,
larger
information
entropy,
higher
key
sensitivity,
good
application
prospect.
