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We discuss stationary solutions of the nonlinear Schrödinger equation (NSE) applicable to several quantum spin, electron and classical lattice systems. We show that there may arise chaotic spatial structures in the form of incommensurate or irregular quantum states and trajectories in space. As a first (typical) example we consider a single electron which… (More)

- Karl E Kürten, John W Clark
- Physical review. E, Statistical, nonlinear, and…
- 2008

The dynamical behavior of a class of randomly assembled networks of binary threshold units subject to random deletion of connections is studied based on the annealed approximation suitable in the thermodynamic limit. The dynamical phase diagram is constructed for several forms of the probability density distribution of nonvanishing connection strengths. The… (More)

- K E Kürten, J W Clark
- Physical review. E, Statistical, nonlinear, and…
- 2003

The problem of controlling higher-order interactions in neural networks is addressed with techniques commonly applied in the cluster analysis of quantum many-particle systems. For multineuron synaptic weights chosen according to a straightforward extension of the standard Hebbian learning rule, we show that higher-order contributions to the stimulus felt by… (More)

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