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math.DS2021
Periodic and chaotic dynamics in a map-based neuron model
Frank Llovera Trujillo, Justyna Signerska-Rynkowska, Piotr Bartłomiejczyk
Map-based neuron models are an important tool in modelling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on con…
math.DS2021
Surviving Lower Dimensional Invariant Tori of a Resonant Torus with any Number of Resonances
Frank Trujillo
We provide sufficient conditions on integrable analytic Hamiltonians that guarantee the existence, under arbitrary sufficiently small analytic perturbations, of invariant lower dim…