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Systems close to bifurcations can be used as small-signal amplifiers. Biophysical measurements suggest that the active amplifiers present in the mammalian cochlea are systems close to a Hopf bifurcation. The pure tone and transient signal output of our electronic hearing sensor based on this observation provides output that is fully compatible with the… (More)

"Simple limiter control" of chaotic systems is analytically and numerically investigated, proceeding from the one-dimensional case to higher dimensions. The properties of the control method are fully described by the one-parameter one-dimensional flat-top map family, implying that orbits are stabilized in exponential time, independent of the periodicity and… (More)

- R. Stoop, Albert Kern, Martin C. Göpfert, D. A. Smirnov, Taras Dikanev, B. P. Bezrucko
- European Biophysics Journal
- 2006

The antennal hearing organs of the fruit fly Drosophila melanogaster boost their sensitivity by an active mechanical process that, analogous to the cochlear amplifier of vertebrates, resides in the motility of mechanosensory cells. This process nonlinearly improves the sensitivity of hearing and occasionally gives rise to self-sustained oscillations in the… (More)

- Daniela Sabrina Andres, Florian Gomez, +4 authors R. Stoop
- Physical review. E, Statistical, nonlinear, and…
- 2014

Parkinson's disease is marked by neurodegenerative processes that affect the pattern of discharge of basal ganglia neurons. The main features observed in the parkinsonian globus pallidus pars interna (GPi), a subdomain of the basal ganglia that is involved in the regulation of voluntary movement, are pathologically increased and synchronized neuronal… (More)

We propose and analyze two different Bayesian online algorithms for learning in discrete Hidden Markov Models and compare their performance with the already known Baldi-Chauvin Algorithm. Using the Kullback-Leibler divergence as a measure of generalization we draw learning curves in simplified situations for these algorithms and compare their performances.… (More)

We present an elementary derivation of chaos control with simple limiters using the logistic map and the Henon map as examples. This derivation provides conditions for optimal stabilization of unstable periodic orbits of a chaotic attractor.

- F. A. S. Ferrari, Ricardo L. Viana, S. R. Lopes, R. Stoop
- Neural Networks
- 2015

Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal models of bursting neurons must include both effects. We considered one of these models and its relation with a… (More)

- R. Stoop, Michael Christen
- 2004

Phase and frequency locking are generic phenomena among coupled limit cycles. As yet, it has been shown that simple models of the neurons (such as the Hodgkin-Huxley and Morris-Lecar) are on limit-cycle solutions. The same holds for in vitro pyramidal neurons, if they are driven by constant currents. It is, however, unknown whether this also holds for… (More)

Cochlear two-tone suppression is the dominant contrast-sharpening phenomenon of hearing and provides a decisive test for the correct implementation of hearing nonlinearities in models of the cochlea. Although critically tuned Hopf amplifiers were shown recently to be fruitful models of intricate phenomena in the physiology of the human ear, we find that… (More)