Physica Scripta,
Journal Year:
2024,
Volume and Issue:
99(11), P. 115249 - 115249
Published: Sept. 24, 2024
Abstract
To
reduce
computational
complexity,
the
balanced
numerical
approximations
of
general
split
drift
stochastic
Runge-Kutta
methods
are
analyzed.
The
primary
reasons
for
considering
these
their
improved
stability
characteristics
and
lower
mean
square
error
compared
to
other
methods.
By
balancing
diffusion
components,
splitting
techniques
outperform
over
longer
time
increments.
For
Ito
multi-dimensional
differential
equations,
we
propose
a
novel
family
universal
procedures.
Kronecker
product
concept
is
utilized
derive
mean-square
conditions.
We
conduct
tests
evaluate
against
an
existing
weak
order
2
method.
Ultimately,
specific
example
validates
theoretical
outcomes
Physica Scripta,
Journal Year:
2024,
Volume and Issue:
99(2), P. 025244 - 025244
Published: Jan. 17, 2024
Abstract
The
emergence
of
memristors
has
piqued
significant
interest
in
memristive
maps
due
to
their
unique
characteristics.
In
this
paper,
we
introduce
a
novel
and
effective
method
for
constructing
memristor
maps,
leveraging
the
power
exponential
units.
Interestingly,
incorporation
these
units
disrupts
symmetry
alters
count
fixed
points
within
map.
is
simple
build
with
chaos
higher
order
maps.
These
make
our
work
different
from
existing
methods.
To
demonstrate
efficacy
approach,
have
focused
attention
on
examining
dynamics,
feasibility,
practical
applications
specific
map,
referred
as
EPMM
1
Furthermore,
show
that
by
extending
it
becomes
straightforward
create
other
innovative
including
those
multiple
memristors.
