Artificial
neural
networks
are
commonly
employed
to
mimic
biological
activities
in
the
brain.
Synapse
as
neuron
connecter
plays
an
important
role
information
transmission,
which
revises
dynamics
of
coupled
neurons
inevitably
or
even
bring
synchronization
behavior.
In
this
work,
by
coupling
FitzHugh-Nagumo
(FN)
and
Hindmarsh-Rose
(HR)
with
a
memristor
synapse,
5D
system
is
derived.
The
feature
memristive
including
period-doubling
bifurcation
chaotic
bursting
were
exhaustively
studied
through
phase
portraits,
Lyapunov
exponents,
diagrams.
It
shows
that
strength
synapse
poses
great
impact
on
evolution
membrane
potential
complete
synchronization.
addition,
derived
HR-FN
Neuron
has
property
offset
boosting
local
frequency
control.
Offset
unique
effects
when
exhibits
different
firing
dynamics.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(3)
Опубликована: Март 1, 2024
Offset
boosting
plays
an
important
role
in
chaos
application
electronic
engineering.
A
direct
variable
substitution
typically
will
destroy
the
dynamics
of
a
discrete
map
even
though
initial
condition
is
well
considered.
The
internal
fundamental
reason
that
left-hand
side
system
does
not
have
dimension
differentiation
(DVD)
like
one
continuous
system.
When
key
property
DVD
completely
preserved,
offset
based
on
parameter
or
can
be
reasonably
achieved
differential
Consequently,
by
condition-oriented
boosting,
flexible
multistability
attractor
self-reproducing
doubling
further
realized.
circuit
experiment
completed
for
verification
reliable
boosting.
systematic
exploration
cast
new
light
regulation
and
transportation
map.
As
simple
case,
two-dimensional
Hénon
taken
as
example
demonstrating
achievement
via
condition.
