Chaos Solitons & Fractals, Год журнала: 2024, Номер 186, С. 115203 - 115203
Опубликована: Июнь 29, 2024
Язык: Английский
Nature Communications, Год журнала: 2024, Номер 15(1)
Опубликована: Июнь 10, 2024
Язык: Английский
Процитировано
12
Physical review. E, Год журнала: 2024, Номер 109(1)
Опубликована: Янв. 26, 2024
Self-organized bistability (SOB) stands as a critical behavior for the systems delicately adjusting themselves to brink of bistability, characterized by first-order transition. Its essence lies in inherent ability system undergo enduring shifts between coexisting states, achieved through self-regulation controlling parameter. Recently, SOB has been established scale-free network recurrent transition short-living state global synchronization. Here, we embark on theoretical exploration that extends boundaries concept higher-order (implicitly embedded microscopically within simplicial complex) while considering limitations imposed coupling constraints. By applying Ott-Antonsen dimensionality reduction thermodynamic limit network, derive requirements under limits are good agreement with numerical simulations finite size. We use continuous synchronization diagrams and statistical data from spontaneous synchronized events demonstrate crucial role plays initiating terminating temporary events. show weak-coupling consumption, these occurrences closely resemble traits epileptic brain functioning.
Язык: Английский
Процитировано
11
EPL (Europhysics Letters), Год журнала: 2024, Номер 147(1), С. 12001 - 12001
Опубликована: Июль 1, 2024
Abstract In the face of persistent threats posed by infectious diseases, despite remarkable medical advancements, understanding and efficiently controlling their spatial spread through mathematical modeling remain imperative. Networked reaction-diffusion systems offer a promising avenue to effectively delineate population discrete distribution individual movement heterogeneity. However, dynamics diseases within these formulation optimal control strategies are currently undergoing vigorous development. this letter, we illustrate disease in networked lens control, considering various network complexities from pairwise networks higher-order networks. It then emphasizes applicability designing effective across diverse complexities. Finally, discuss existing challenges.
Язык: Английский
Процитировано
10
Physics of Life Reviews, Год журнала: 2024, Номер unknown
Опубликована: Дек. 1, 2024
Язык: Английский
Процитировано
9
Nature Physics, Год журнала: 2025, Номер unknown
Опубликована: Фев. 19, 2025
Язык: Английский
Процитировано
2
Applied Mathematics and Computation, Год журнала: 2025, Номер 495, С. 129328 - 129328
Опубликована: Фев. 4, 2025
Язык: Английский
Процитировано
1
Frontiers in Network Physiology, Год журнала: 2024, Номер 3
Опубликована: Янв. 16, 2024
Epilepsy is now considered a network disease that affects the brain across multiple levels of spatial and temporal scales. The paradigm shift from an epileptic focus—a discrete cortical area which seizures originate—to widespread network—spanning lobes hemispheres—considerably advanced our understanding epilepsy continues to influence both research clinical treatment this multi-faceted high-impact neurological disorder. network, however, not static but evolves in time requires novel approaches for in-depth characterization. In review, we discuss conceptual basics theory critically examine state-of-the-art recording techniques analysis tools used assess characterize time-evolving human network. We give account on current shortcomings highlight potential developments towards improved management epilepsy.
Язык: Английский
Процитировано
9
Physical Review X, Год журнала: 2024, Номер 14(1)
Опубликована: Март 18, 2024
Natural
and
manmade
complex
systems
are
comprised
of
different
elementary
units,
being
either
system
components
or
diverse
subsystems
as
in
the
case
networked
systems.
These
units
interact
with
each
other
a
possibly
nonlinear
way,
which
results
dynamics
that
is
generally
dissipative
nonstationary.
One
challenges
modeling
such
identification
not
only
pairwise
but,
more
importantly,
higher-order
interactions,
together
their
directions
strengths
from
measured
multivariate
time
series.
Here,
we
propose
novel
data-driven
approach
for
characterizing
interactions
orders.
Our
based
on
solving
set
linear
equations
constructed
Kramers-Moyal
coefficients
derived
statistical
moments
Язык: Английский
Процитировано
9
Physical Review Research, Год журнала: 2024, Номер 6(1)
Опубликована: Янв. 12, 2024
In this paper, we develop a bipartite network framework to study the robustness of interdependent hypergraphs. From such perspective, nodes and hyperedges hypergraph are equivalent each other, property that largely simplifies their mathematical treatment. We general percolation theory based on representation apply it hypergraphs against random damage, which verify with numerical simulations. analyze variety interacting patterns, from heterogeneous correlated hyperstructures, full- partial-dependency couplings between an arbitrary number hypergraphs, characterize structural stability via phase diagrams. Given its generality, expect our will provide useful insights for development more realistic venues cascading failures in higher-order systems. Published by American Physical Society 2024
Язык: Английский
Процитировано
7
Information Processing & Management, Год журнала: 2024, Номер 61(5), С. 103790 - 103790
Опубликована: Май 29, 2024
Язык: Английский
Процитировано
7