The paths of nine mathematicians to the realm of dynamical systems
The Journal of Difference Equations and Applications,
Год журнала:
2024,
Номер
30(1), С. 1 - 89
Опубликована: Янв. 2, 2024
This
article
is
devoted
to
the
first
steps
of
nine
mathematicians
from
five
countries
on
their
path
mathematics,
chaos
and
discrete
dynamical
systems,
some
early
childhood.
In
these
life
stories,
names
outstanding
arise,
crisscrossing
stories
in
unexpected
ways.
These
also
interacted
with
each
other,
forming
an
intriguing
social
network
worldwide,
across
all
borders
nationality
languages.
Язык: Английский
Existence of multistability in the dynamical behavior of q-deformed Lozi map
Indian Journal of Physics,
Год журнала:
2024,
Номер
98(10), С. 3641 - 3659
Опубликована: Март 16, 2024
Язык: Английский
A memristive Ikeda map and its application in image encryption
Chaos Solitons & Fractals,
Год журнала:
2024,
Номер
190, С. 115740 - 115740
Опубликована: Ноя. 20, 2024
Язык: Английский
Invariant Graphs and Dynamics of a Family of Continuous Piecewise Linear Planar Maps
Qualitative Theory of Dynamical Systems,
Год журнала:
2025,
Номер
24(2)
Опубликована: Фев. 11, 2025
Язык: Английский
Chaos-enhanced metaheuristics: classification, comparison, and convergence analysis
Complex & Intelligent Systems,
Год журнала:
2025,
Номер
11(3)
Опубликована: Фев. 19, 2025
Язык: Английский
Will We Continue to Use Chaotic Attractors in Science for a Long Time, or Will They only Be a Passing Curiosity?
Springer proceedings in mathematics & statistics,
Год журнала:
2025,
Номер
unknown, С. 203 - 232
Опубликована: Янв. 1, 2025
Язык: Английский
Coexistence of attractors in a quasiperiodically forced Lozi map
Chaos Solitons & Fractals,
Год журнала:
2024,
Номер
187, С. 115381 - 115381
Опубликована: Авг. 16, 2024
Язык: Английский
Optical voice encryption based on speckle-illuminated fourier ptychography and plaintext-related chaotic random phase mask
Physica Scripta,
Год журнала:
2024,
Номер
99(3), С. 035237 - 035237
Опубликована: Фев. 5, 2024
Abstract
In
this
paper,
we
propose
an
optical
voice
encryption
scheme
based
on
speckle-illuminated
Fourier
ptychography
(FP)
and
plaintext-related
chaotic
random
phase
mask
(CRPM).
proposed
scheme,
the
CRPMs
are
generated
by
Lozi
map
secure
hash
algorithm
(SHA-256).
During
process,
signal
to
be
encrypted
is
first
converted
into
a
two-dimensional
(2D)
map.
Then,
with
help
of
FP,
series
noise-like
low-resolution
images.
decryption
original
can
recovered
from
images
via
ptychographic
retrieval
CRPMs.
To
best
our
knowledge,
it
time
use
implement
signal.
addition,
in
parameters
replace
whole
masks
as
secret
keys,
which
makes
management
transmission
keys
become
more
convenient.
Moreover,
since
parameter
updated
dynamically,
security
further
improved.
The
feasibility,
robustness
analyzed
numerical
simulations.
Язык: Английский
Dynamical analysis of a new memristive map with offset boosting and extreme multistability
Physica Scripta,
Год журнала:
2024,
Номер
99(7), С. 075255 - 075255
Опубликована: Июнь 10, 2024
Abstract
In
this
paper,
a
memristive
circuit
is
designed
based
on
charge-controlled
memristor,
and
the
Hamilton
energy
function
obtained
from
Helmholtz
theorem.
The
system
equation
of
discretized
by
redefining
variables
to
obtain
three-dimensional
map
corresponding
function.
Then,
effects
parameters
initial
values
are
analyzed
using
conventional
dynamical
analysis.
There
multiple
types
quasi-periodic
chaotic
states
under
different
parameters,
evolution
shown.
addition,
offset
boosting
homogeneous
extreme
multistability
found
in
map,
which
can
be
controlled
attractor
changing
specific
values.
complexity
sequence
also
as
varied
over
chosen
range.
Finally,
implemented
PSIM
simulation
digital
signal
processor
(DSP)
respectively.
This
research
will
provide
reference
for
secure
communication.
Язык: Английский
TWO-DIMENSIONAL HYPERCHAOTIC MAP FOR CHAOTIC OSCILLATIONS
Informatyka Automatyka Pomiary w Gospodarce i Ochronie Środowiska,
Год журнала:
2024,
Номер
14(3), С. 29 - 34
Опубликована: Сен. 30, 2024
This
manuscript
explores
a
two-dimensional
hyperchaotic
map
for
generating
chaotic
oscillations.
Hyperchaotic
maps
are
finding
increasing
applications
in
various
scientific
and
technological
fields
due
to
the
unique
properties
of
their
generated
The
studied
map,
based
on
two
interconnected
piecewise-linear
functions,
is
one
simplest
oscillations
with
predetermined
distribution
values
across
continuous
parameter
space.
simplicity
allows
wide
applicability
contexts.
paper
presents
simulation
results
demonstrating
control
over
parameters
dynamic
modes.
Building
upon
these
modeling
results,
system
implemented
using
an
electric
circuit.
chosen
attractive
its
inherent
ease
control.
By
adjusting
parameters,
signal's
can
be
manipulated.
circuit
consists
symmetrical
sections
connected
via
feedback
loops,
employing
four
amplifiers
variable
gain.
gain
act
as
circuit's
implementation
parameters.
Chaotic
by
applying
delayed
clock
signal
from
external
square
wave
generator
elements.
obtained
experimental
exhibit
excellent
agreement
data.
Язык: Английский