48 citations · 102 across the 3 of their papers we have counts for
5 papers
The geometry of rest-spike bistability
Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Morris-Lecar model is arguably the simplest dynamical model that retains both the slow-fast geometry of excitable phase portraits and the physiological interpretation of a conducta…
Isolated resonances and nonlinear damping
Giuseppe Habib, Giuseppe Ilario Cirillo, Gaetan Kerschen
We analyze isolated resonance curves (IRCs) in a single-degree-of-freedom system with nonlinear damping. The adopted procedure exploits singularity theory in conjunction with the h…
Analysis and design of nonlinear resonances via singularity theory
G. I. Cirillo, G. Habib, G. Kerschen +1
Bifurcation theory and continuation methods are well-established tools for the analysis of nonlinear mechanical systems subject to periodic forcing. We illustrate the added value a…
A spectral characterization of nonlinear normal modes
Giuseppe Ilario Cirillo, Alexandre Mauroy, Ludovic Renson +2
This paper explores the relationship that exists between nonlinear normal modes (NNMs) defined as invariant manifolds in phase space and the spectral expansion of the Koopman opera…
Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups
Giuseppe Ilario Cirillo, Francesco Ticozzi
We investigate convergence properties of discrete-time semigroup quantum dynamics, including asymptotic stability, probability and speed of convergence to pure states and subspaces…