The search for chaotic patterns has occupied numerous investigators in neuroscience, as in
many other fields of science. Their results and main conclusions are reviewed in the light of …

Several recent studies emphasize the high value of nonlinear EEG analysis particularly for
improved characterization of epileptic brain states. In this review the authors report their …

In a spontaneously bursting neuronal network in vitro, chaos can be demonstrated by the
presence of unstable fixed-point behaviour. Chaos control techniques can increase the …

A method to characterize dynamical interdependence among nonlinear systems is derived
based on mutual nonlinear prediction. Systems with nonlinear correlation will show mutual …

The theory of deterministic chaos addresses simple deterministic dynamics in which
nonlinearity gives rise to complex temporal behavior. Although biological neuronal networks …

Electrographic recordings from depth and subdural electrodes, performed in two patients
with seizures of mesial temporal origin, were analyzed for the presence of non-linearities in …

A general nonlinear method to extract unstable periodic orbits from chaotic time series is
proposed. By utilizing the estimated local dynamics along a trajectory, we devise a …

Analytical and computational studies of reacting flows are extremely challenging due in part
to nonlinearities of the underlying system of equations and long-range coupling mediated by …

Recently, biological preparations which are thought to be chaotic have been controlled
using algorithms based on the detection and manipulation of periodic unstable points. The …

A new nonlinear dynamical analysis is applied to complex behavior from neuronal systems.
The conceptual foundation of this analysis is the abstraction of observed neuronal activities …