Stochastic resonance in neuron models |
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| Authors: | André Longtin |
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| Affiliation: | (1) Department of Mathematics, University of Southern California, 90089 Los Angeles, California |
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| Abstract: | We study Axiom A flows and introduce a new definition of Gibbs states which is modeled after a current one for diffeomorphisms and by which Gibbs states are locally characterized by their transformation when pulled back by conjugating homeomorphisms. We show that Gibbs states are equilibrium states and vice versa. We also show that for subshifts this equivalence can be strengthened. |
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| Keywords: | Dynamical systems hyperbolic flows Gibbs measures invariant measures conjugating homeomorphisms multipliers |
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