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math.DS2011
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster
Daniele Linaro, Alan Champneys, Mathieu Desroches +1
The well-studied Hindmarsh-Rose model of neural action potential is revisited from the point of view of global bifurcation analysis. This slow-fast system of three paremeterised di…
math.DS2010★ 4 cited
Harmonic analysis of oscillators through standard numerical continuation tools
Federico Bizzarri, Daniele Linaro, Bart Oldeman +1
In this paper, we describe a numerical continuation method that enables harmonic analysis of nonlinear periodic oscillators. This method is formulated as a boundary value problem t…