The physics of higher-order interactions in complex systems
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …
interacting systems. However, networks are intrinsically limited to describing pairwise …
[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …
of the interactions among their units. Over the past decades, a variety of complex systems …
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …
processes. Importantly, their functionality, ie, whether these networks can perform their …
Multiorder Laplacian for synchronization in higher-order networks
The emergence of synchronization in systems of coupled agents is a pivotal phenomenon in
physics, biology, computer science, and neuroscience. Traditionally, interaction systems …
physics, biology, computer science, and neuroscience. Traditionally, interaction systems …
[BOOK][B] Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations
M Golubitsky, I Stewart - 2023 - SIAM
The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
Chaos in generically coupled phase oscillator networks with nonpairwise interactions
The Kuramoto–Sakaguchi system of coupled phase oscillators, where interaction between
oscillators is determined by a single harmonic of phase differences of pairs of oscillators …
oscillators is determined by a single harmonic of phase differences of pairs of oscillators …
Multiclusters in networks of adaptively coupled phase oscillators
Dynamical systems on networks with adaptive couplings appear naturally in real-world
systems such as power grid networks, social networks, and neuronal networks. We …
systems such as power grid networks, social networks, and neuronal networks. We …
Neurodynamics
S Coombes, KCA Wedgwood - Texts in applied mathematics, 2023 - Springer
This is a book about 'Neurodynamics'. What we mean is that this is a book about how ideas
from dynamical systems theory have been developed and employed in recent years to give …
from dynamical systems theory have been developed and employed in recent years to give …
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators
We study chaotic dynamics in a system of four differential equations describing the
interaction of five identical phase oscillators coupled via biharmonic function. We show that …
interaction of five identical phase oscillators coupled via biharmonic function. We show that …
Hierarchical frequency clusters in adaptive networks of phase oscillators
Adaptive dynamical networks appear in various real-word systems. One of the simplest
phenomenological models for investigating basic properties of adaptive networks is the …
phenomenological models for investigating basic properties of adaptive networks is the …