11 citations · 11 across the 3 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2023
On systematic criteria for the global stability of nonlinear systems via the Koopman operator framework
Christian Mugisho Zagabe, Alexandre Mauroy
We present novel sufficient conditions for the global stability of equilibria in the case of nonlinear dynamics with analytic vector fields. These conditions provide stability crit…
math.DS2014
Extreme phase sensitivity in systems with fractal isochrons
Alexandre Mauroy, Igor Mezic
Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it. In this co…
math.DS2012★ 11 cited
Contraction of monotone phase-coupled oscillators
Alexandre Mauroy, Rodolphe Sepulchre
This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total var…