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math.DS2019
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…
math.DS2017
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…