6 papers
Evolutionary Entropy Shapes Lifespan of the Greenland Shark
Jorge Buescu, Saber N. Elaidy, Saber N. Elaydi +1
The Greenland shark (Somniosus microcephalus) is among the longest-lived vertebrates known, with female maturity estimated at about 156 years and maximum ages approaching four cent…
Sensitivity of evolutionary entropy and reproductive potential in Lefkovitch and open-group Leslie matrices
Henrique M. Oliveira, Henrqiue M. Oliveira
We develop a sensitivity theory for the Malthusian parameter \(r\), evolutionary entropy \(H\), and reproductive potential \(Φ\) in Lefkovitch matrices, with open-group Leslie matr…
Evolutionary Entropy Shapes Reproductive Lifespan in Age-Structured Populations
Jorge Buescu, Saber Elaydi, Henrique Oliveira
Evolutionary entropy measures the temporal organization of reproductive contributions along the life cycle of an age-structured population. We develop a mathematical and empirical…
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…