Reconstruction of dynamical systems from interspike intervals
- 13 June 1994
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (24), 3811-3814
- https://doi.org/10.1103/physrevlett.72.3811
Abstract
Attractor reconstruction from interspike interval (ISI) data is described, in rough analogy with Taken’s theorem for attractor reconstruction from time series. Assuming a generic integrate-and-fire model coupling the dynamical system to the spike train, there is a one-to-one correspondence between the system states and interspike interval vectors of sufficiently large dimension. The correspondence has an important implication: interspike intervals can be forecast from past history. We show that deterministically driven ISI series can be distinguished from stochastically driven ISI series on the basis of prediction error.Keywords
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