Rhythmic dynamics of higher-order phase oscillator populations with competitive couplings
Nonlinear Dynamics,
Год журнала:
2024,
Номер
unknown
Опубликована: Окт. 3, 2024
Язык: Английский
Synchronization in adaptive higher-order networks
Physical review. E,
Год журнала:
2024,
Номер
110(6)
Опубликована: Дек. 5, 2024
Many
natural
and
human-made
complex
systems
feature
group
interactions
that
adapt
over
time
in
response
to
their
dynamic
states.
However,
most
of
the
existing
adaptive
network
models
fall
short
capturing
these
dynamics,
as
they
focus
solely
on
pairwise
interactions.
In
this
study,
we
employ
higher-order
networks
describe
by
proposing
a
general
framework
incorporating
both
adaptivity
We
demonstrate
global
synchronization
can
exist
those
structures
provide
necessary
conditions
for
emergence
stable
synchronous
state.
first
study
setting
which
are
allowed,
but
only
former
time.
then
extend
including
analyzed
settings,
show
condition
is
strongly
related
master
stability
equation,
allowing
separate
dynamical
structural
properties.
illustrate
our
theoretical
findings
through
relevant
examples
involving
coupled
generalized
Kuramoto
oscillators
with
phase
lag,
an
all-to-all
nonlocal
ring-like
structure.
also
interplay
connectivity
results
formation
regions
induce
transitions
between
desynchronization.
Our
reveal
introduction
adaptation
significantly
alters
compared
case
constant
Язык: Английский
Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review
Regular and Chaotic Dynamics,
Год журнала:
2025,
Номер
30(1), С. 57 - 75
Опубликована: Фев. 1, 2025
Язык: Английский
Coexistence of multistable synchronous states in a three-oscillator system with higher-order interaction
Physical review. E,
Год журнала:
2024,
Номер
110(3)
Опубликована: Сен. 18, 2024
We
study
a
three-oscillator
system
with
pairwise
(1-simplex)
and
triadic
(2-simplex)
interactions,
focus
on
how
the
interplay
between
these
two
types
of
interactions
influences
synchronous
dynamics.
Using
minimal
model,
dynamical
phenomena
in
systems
that
have
been
previously
studied
under
thermodynamic
limit
(N→∞)
are
further
clarified.
Various
states,
including
in-phase
antiphase
as
well
partial
states
demonstrated.
Meanwhile,
significant
multistable
behaviors
revealed.
Our
work
extends
previous
research
which
can
deepen
our
understanding
impact
correlation
higher-order
interaction
multistability.
These
dynamic
bear
resemblance
to
diverse
synchronization
patterns
heart,
they
also
serve
pivotal
factors
information
storage
memory
retention
within
brain.
Язык: Английский