Mathematics, Department of
Date of this Version
2011
Citation
J. Diff. Eq., 250(2011), pp.2958–2968.
Abstract
Reported here for the first time is a chaotic infinite-dimensional system which contains infinitely many copies of every deterministic and stochastic dynamical system of all finite dimensions. The system is the renormalizing operator of spike maps that was used in a previous paper to show that the first natural number 1 is a universal constant in the generation of metastable and plastic spike-bursts of a class of circuit models of neurons.
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Computational Neuroscience Commons, Dynamic Systems Commons, Non-linear Dynamics Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Applied Mathematics Commons, Systems Neuroscience Commons