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math.DS2026
The specification property for composition operators
Nilson C. Bernardes, Emma D'Aniello, Martina Maiuriello
It is known that the operator specification property does not coincide, in general, with other notions of chaos in linear dynamics. In this paper, we show that, for a natural and w…
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…