Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(6)
Опубликована: Июнь 1, 2024
Adaptive
dynamical
networks
are
network
systems
in
which
the
structure
co-evolves
and
interacts
with
state
of
nodes.
We
study
an
adaptive
changes
on
a
slower
time
scale
relative
to
fast
dynamics
identify
phenomenon
we
refer
as
recurrent
chaotic
clustering
(RACC),
chaos
is
observed
slow
scale,
while
exhibits
regular
dynamics.
Such
further
characterized
by
long
(relative
scale)
regimes
frequency
clusters
or
frequency-synchronized
dynamics,
interrupted
jumps
between
these
regimes.
also
determine
parameter
values
where
intervals
show
that
such
robust
parameters
initial
conditions.
Physical Review Research,
Год журнала:
2025,
Номер
7(1)
Опубликована: Фев. 7, 2025
Microorganisms
can
sense
their
environment
and
adapt
movement
accordingly,
which
gives
rise
to
a
multitude
of
collective
phenomena,
including
active
turbulence
bioconvection.
In
fluid
environments,
self-organization
is
governed
by
hydrodynamic
interactions.
By
large-scale
mesoscale
hydrodynamics
simulations,
we
study
the
motion
polar
microswimmers,
align
propulsion
direction
steering
with
that
neighbors.
The
simulations
employed
squirmer
model
reveal
distinct
dependence
on
type
microswimmer—puller
or
pusher—flow
field.
No
global
alignment
emerges
in
both
cases.
Instead,
pushers
characterized
turbulence,
nearly
homogeneous
density
Gaussian
velocity
distribution;
strong
self-steering
enhances
local
coherent
microswimmers
leads
fluid-flow
speeds
much
larger
than
individual
swim
speed.
Pullers
exhibit
tendency
for
clustering
display
vorticity
distributions
fat
exponential
tails;
dynamics
chaotic,
temporal
appearance
vortex
rings
jets.
Our
results
show
behavior
autonomously
displays
rich
variety
dynamic
self-organized
structures.
imply
guidelines
design
microrobotic
systems.
Published
American
Physical
Society
2025
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2023,
Номер
33(6)
Опубликована: Июнь 1, 2023
Phase
transitions
widely
occur
in
natural
systems.
Incorporation
of
higher-order
interactions
coupled
dynamics
is
known
to
cause
first-order
phase
transition
synchronization
an
otherwise
smooth
second-order
the
presence
only
pairwise
interactions.
Here,
we
discover
that
adaptation
restores
former
setup
and
notably
produces
additional
bifurcation
referred
as
tiered
a
consequence
combination
super-critical
pitchfork
two
saddle
node
bifurcations.
The
Ott-Antonsen
manifold
underlines
interplay
instigating
synchronization,
well
provides
complete
description
all
(un)stable
states.
These
results
would
be
important
comprehending
real-world
systems
with
inherent
through
feedback
coupling.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(2)
Опубликована: Фев. 1, 2024
Synchronization
holds
a
significant
role,
notably
within
chaotic
systems,
in
various
contexts
where
the
coordinated
behavior
of
systems
plays
pivotal
and
indispensable
role.
Hence,
many
studies
have
been
dedicated
to
investigating
underlying
mechanism
synchronization
systems.
Networks
with
time-varying
coupling,
particularly
those
blinking
proven
essential.
The
reason
is
that
such
coupling
schemes
introduce
dynamic
variations
enhance
adaptability
robustness,
making
them
applicable
real-world
scenarios.
This
paper
introduces
novel
adaptive
wherein
adapts
dynamically
based
on
most
influential
variable
exhibiting
average
disparity.
To
ensure
an
equitable
selection
effective
at
each
time
instance,
difference
normalized
synchronous
solution’s
range.
Due
this
selection,
enhancement
expected
be
observed.
hypothesis
assessed
networks
identical
encompassing
Lorenz,
Rössler,
Chen,
Hindmarsh–Rose,
forced
Duffing,
van
der
Pol
results
demonstrated
substantial
improvement
when
employing
applying
normalization
process.
It
is
beneficial
for
collective
structures
to
simultaneously
have
high
persistence
environmental
noise
and
responsivity
nontrivial
external
stimuli.
However,
without
the
ability
differentiate
useful
information
from
noise,
there
always
a
tradeoff
between
within
structures.
To
address
this,
we
propose
adaptive
time
delay
inspired
by
behavior
observed
in
school
of
fish.
This
strategy
tested
using
particles
powered
optothermal
fields
coupled
with
an
optical
feedback-control
system.
By
applying
proper
threshold,
experimentally
observe
enhanced
approximately
1.6
times
sacrificing
persistence.
Furthermore,
integrate
long-distance
transportation
obstacle-avoidance
capabilities
prototype
swarm
microrobots.
research
demonstrates
potential
persistence-responsivity
lays
foundation
intelligent
micro/nanorobots
operating
complex
environments.
PLoS Computational Biology,
Год журнала:
2024,
Номер
20(7), С. e1012261 - e1012261
Опубликована: Июль 9, 2024
Abnormally
strong
neural
synchronization
may
impair
brain
function,
as
observed
in
several
disorders.
We
computationally
study
how
neuronal
dynamics,
synaptic
weights,
and
network
structure
co-emerge,
particular,
during
(de)synchronization
processes
they
are
affected
by
external
perturbation.
To
investigate
the
impact
of
different
types
plasticity
mechanisms,
we
combine
a
excitatory
integrate-and-fire
neurons
with
weight
and/or
structural
mechanisms:
(i)
only
spike-timing-dependent
(STDP),
(ii)
homeostatic
(hSP),
i.e.,
without
weight-dependent
pruning
STDP,
(iii)
combination
STDP
hSP,
pruning,
(iv)
(SP)
that
includes
hSP
pruning.
accommodate
diverse
time
scales
firing,
SP,
introduce
simple
stochastic
SP
model,
enabling
detailed
numerical
analyses.
With
tools
from
theory,
reveal
reorganization
remarkably
enhance
network’s
level
synchrony.
When
weaker
contacts
preferentially
eliminated
synchrony
is
achieved
significantly
sparser
connections
than
randomly
structured
networks
STDP-only
model.
In
strengthening
higher
natural
firing
rates
to
those
lower
weakening
opposite
direction,
followed
selective
removal
weak
contacts,
allows
for
fewer
connections.
This
activity-led
results
emergence
degree-frequency,
degree-degree
correlations,
mixture
degree
assortativity.
compare
stimulation-induced
desynchronization
synchronized
states
model
models
(iv).
The
latter
require
stimuli
intensity
achieve
long-term
desynchronization.
These
findings
inform
future
pre-clinical
clinical
studies
invasive
or
non-invasive
stimulus
modalities
aiming
at
inducing
long-lasting
relief
symptoms,
e.g.,
Parkinson’s
disease.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(2)
Опубликована: Фев. 1, 2024
A
class
of
adaptation
functions
is
found
for
which
a
synchronous
mode
with
different
number
phase
clusters
exists
in
network
oscillators
triadic
couplings.
This
implemented
fairly
wide
range
initial
conditions
and
the
maximum
four.
The
joint
influence
coupling
strength
parameters
on
synchronization
has
been
studied.
desynchronization
transition
under
variation
parameter
occurs
abruptly
begins
highest-frequency
oscillator,
spreading
hierarchically
to
all
other
elements.
Physical review. E,
Год журнала:
2025,
Номер
111(1)
Опубликована: Янв. 6, 2025
We
investigate
the
nature
of
transition
to
synchronization
and
death
states
in
nonidentical
Stuart-Landau
oscillators
adaptively
coupled
with
pairwise
higher-order
interactions.
Our
findings
reveal
that
globally
interactions
exhibit
asynchronous
oscillations.
In
contrast,
systems
a
continuous
synchronization.
Introducing
adaptation
results
an
explosive
Furthermore,
when
system
is
both
interactions,
leads
For
higher
values
coupling
strength,
also
exhibits
state.
Extending
our
analysis
random
networks,
we
observe
similar
results.
These
align
behavior
observed
Kuramoto
oscillators,
offering
new
insights
into
dynamics
complex
adaptive
