Showing math.DSShow all
3 papers · 1 filter
math.DS2025
Lyapunov functions for Morse-Smale synchronisation diffeomorphisms
Jorge Buescu, Henrique M. Oliveira
This paper investigates the dynamical system governing the phase differences between three identical oscillators arranged symmetrically and coupled by burst interactions. By constr…
math.DS2025
A Lyapunov function for a Synchronisation diffeomorphism of three clocks
Jorge Buescu, Emma D'Aniello, Henrique M. Oliveira
Lyapunov functions are essential tools in dynamical systems, as they allow the stability analysis of equilibrium points without the need to explicitly solve the system's equations.…
math.DS2024
Huygens Synchronization of Three Aligned Clocks
Jorge Buescu, Emma D'Aniello, Henrique M. Oliveira
This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest…