3 papers
nlin.CG2026
Exact Lyapunov spectra of affine cellular automata and the parity rule on networks
Michiel Rollier, Jan M. Baetens
The Lyapunov exponent quantifies the sensitivity of a dynamical system to perturbations, and the full Lyapunov spectrum extends this to every orthogonal direction in tangent space.…
q-bio.PE2026
Modification speed and radius of higher-order interactions alter the oscillatory dynamics in an agent-based model
Thomas Van Giel, Hanna Jaspaert, Aisling J. Daly +2
Understanding the population dynamics of ecological systems is crucial for predicting shifts in biodiversity and ensuring the protection of these systems. Established models often…
nlin.CG2025
Essential metrics for Life on graphs
Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno +1
We present a strong theoretical foundation that frames a well-defined family of outer-totalistic network automaton models as a topological generalisation of binary outer-totalistic…