Symbolic dynamical unfolding of spike-adding bifurcations in chaotic neuron models

Barrio, R. (Universidad de Zaragoza) ; Lefranc, M. ; Martínez, M.A. ; Serrano, S. (Universidad de Zaragoza)

Resumen: We characterize the systematic changes in the topological structure of chaotic attractors that occur as spike-adding and homoclinic bifurcations are encountered in the slow-fast dynamics of neuron models. This phenomenon is detailed in the simple Hindmarsh-Rose neuron model, where we show that the unstable periodic orbits appearing after each spike-adding bifurcation are associated with specific symbolic sequences in the canonical symbolic encoding of the dynamics of the system. This allows us to understand how these bifurcations modify the internal structure of the chaotic attractors.

Idioma: Inglés

DOI: 10.1209/0295-5075/109/20002

Año: 2015

Publicado en: Europhysics letters 109, 2 (2015), 20002 [6 pp.]
ISSN: 0295-5075

Factor impacto JCR: 1.963 (2015)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 19 / 79 = 0.241 (2015) - Q1 - T1

Factor impacto SCIMAGO: 0.625 - Physics and Astronomy (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E48
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)