Generating-functional analysis of random Lotka-Volterra systems: A step-by-step guide

T Galla - arxiv preprint arxiv:2405.14289, 2024 - arxiv.org
This paper provides what is hopefully a self-contained set of notes describing the detailed
steps of a generating-functional analysis of systems of generalised Lotka-Volterra equations …

Interplay between local and global order controls bifurcations in nonreciprocal systems without a conservation law

K Blom, U Thiele, A Godec - arxiv preprint arxiv:2407.20312, 2024 - arxiv.org
We elucidate the generic bifurcation behavior of local and global order in the short-range
interacting nonreciprocal Ising model evolving under Glauber dynamics. We show that a …

Dynamical theory for adaptive systems

TM Pham, K Kaneko - Journal of Statistical Mechanics: Theory …, 2024 - iopscience.iop.org
The study of adaptive dynamics, involving many degrees of freedom on two separated
timescales, one for fast changes of state variables and another for the slow adaptation of …

From Nonequilibrium to Equilibrium: Insights from a Two-Population Occupation Model

J Garnier-Brun, R Zakine, M Benzaquen - arxiv preprint arxiv:2412.14996, 2024 - arxiv.org
In socioeconomic systems, nonequilibrium dynamics naturally stem from the generically non-
reciprocal interactions between self-interested agents, whereas equilibrium descriptions …

Navigating radical complexity: The influence of disorder, nonrelaxational dynamics and learning on aggregate coordination

J Garnier-Brun - 2023 - theses.hal.science
Navigating radical complexity: The influence of disorder, nonrelaxational dynamics and learning
on aggregate coordination Page 1 HAL Id: tel-04451915 https://theses.hal.science/tel-04451915 …