International Journal of Bifurcation and Chaos,
Journal Year:
2024,
Volume and Issue:
34(05)
Published: April 1, 2024
As
digital
communication
and
storage
continue
to
expand,
the
protection
of
image
privacy
information
becomes
increasingly
critical.
To
safeguard
sensitive
visual
from
unauthorized
access,
this
paper
proposes
a
novel
encryption
scheme
that
integrates
multiobjective
Artificial
Bee
Colony
(ABC)
optimization
algorithm
DNA
coding.
Multiple
evaluation
metrics
including
correlation
relationship,
Number
Pixel
Change
Rate
(NPCR),
Unified
Average
Changing
Intensity
(UACI),
entropy
are
collaboratively
optimized
by
ABC
algorithm.
The
proposed
method
begins
with
application
SHA-256
generate
keys
random
sequences
using
chaotic
systems.
These
then
employed
for
shuffling,
coding,
decoding,
diffusion,
generating
initial
encrypted
images.
Subsequently,
images
serve
as
individuals
within
determine
optimal
parameters
systems
best
ciphertext
image.
Simulation
experiments
demonstrate
achieved
excellent
results
in
entropy,
pixel
coefficient,
NPCR,
UACI.
integration
coding
our
heightened
security,
evidenced
superior
performance
various
metrics.
Physica Scripta,
Journal Year:
2025,
Volume and Issue:
100(2), P. 025243 - 025243
Published: Jan. 27, 2025
Abstract
In
this
study,
we
introduce
a
new
fractional-order
chaotic
system
(FO-CS)
that
comprises
six
terms,
setting
it
apart
from
classical
models
such
as
the
Lorenz,
Chen,
and
Lü
systems.
The
proposed
system,
while
having
different
number
of
terms
compared
to
Lorenz
Chen
systems,
generates
attractors
closely
resemble
those
found
in
these
conventional
algebraic
structure
is
relatively
simple,
consisting
four
linear
two
quadratic
terms.
We
conduct
comprehensive
theoretical
analysis
dynamic
simulations
both
fractional
integer-order
perspectives,
exploring
numerous
dynamical
characteristics,
including
Lyapunov
exponent
spectra,
fractal
dimensions,
Poincaré
maps,
bifurcation
phenomena.
Furthermore,
derive
Hamiltonian
energy
function
for
through
application
Helmholtz’s
theorem.
To
delve
into
synchronization
within
carry
out
numerical
alongside
an
active
control
method.
effective
implementation
strategy
deepens
our
understanding
dynamics
highlights
its
potential
applications,
particularly
secure
communication.
One
significant
use
techniques
transmission
real
audio
signals,
showcasing
relevance
technique
enhancing
communication
security.
Fractal and Fractional,
Journal Year:
2024,
Volume and Issue:
8(5), P. 271 - 271
Published: May 1, 2024
On
the
basis
of
chaotic
system
proposed
by
Wang
et
al.
in
2023,
this
paper
constructs
a
5D
fractional-order
memristive
hyperchaotic
(FOMHS)
with
multiple
coexisting
attractors
through
coupling
magnetic
control
memristors
and
dimension
expansion.
Firstly,
divergence,
Kaplan–Yorke
dimension,
equilibrium
stability
model
are
studied.
Subsequently,
we
explore
construction
FOMHS,
introducing
definitions
Caputo
differential
operator
Riemann–Liouville
integral
employing
Adomian
resolving
approach
to
decompose
linears,
nonlinears,
constants
system.
The
complex
dynamic
characteristics
analyzed
phase
diagrams,
Lyapunov
exponent
spectra,
time-domain
etc.
Finally,
hardware
circuit
FOMHS
is
performed
FPGA,
its
randomness
verified
using
NIST
tool.
