2 citations · 2 across the 6 of their papers we have counts for
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Almost-global convergence to twisted states in discrete Huygens rings
Jorge Buescu, Henrique M. Oliveira
We study the discrete Huygens phase map on the ring , the simplest oscillator network in which the coupling can be frustrated. Reciprocal coupling favours phase opposition bet…
**Winding number forces universal synchronisation**
Jorge Buescu, Henrique M. Oliveira
We prove that two completely different oscillators synchronise through arbitrarily weak reciprocal impulses. Any two planar oscillators with hyperbolic attracting limit cycles and…
Morse-Smale dynamics in discrete Huygens networks
Jorge Buescu, Emma D'Aniello, Henrique M. Oliveira
We study discrete networks of identical phase oscillators with positive reciprocal weights and smooth odd periodic interactions, motivated by discrete models of Huygens synch…
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…
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.…
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…