Dynamics of a neuron model in different two-dimensional parameter-spaces |
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Authors: | Paulo C. Rech |
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Affiliation: | Departamento de Física, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil |
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Abstract: | We report some two-dimensional parameter-space diagrams numerically obtained for the multi-parameter Hindmarsh-Rose neuron model. Several different parameter planes are considered, and we show that regardless of the combination of parameters, a typical scenario is preserved: for all choice of two parameters, the parameter-space presents a comb-shaped chaotic region immersed in a large periodic region. We also show that exist regions close these chaotic region, separated by the comb teeth, organized themselves in period-adding bifurcation cascades. |
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Keywords: | Parameter-space Hindmarsh-Rose neuron model Lyapunov exponents Period-adding |
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