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New discussion site for Controversial Topics in Nonlinear Science |
| The first installment of the new Controversial Topics in Nonlinear Science section featured papers on the topic Is the normal heart rate chaotic? Abstracts are posted at a site where scientists can participate in moderated discussion on this controversial topic. All papers in this section are freely available. |
| Visit site | Read papers |
RESEARCH HIGHLIGHT |
| A “cellular neuronal” approach to optimization problems
Gregory S. Duane
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The Hopfield–Tank recurrent neural network architecture for the traveling salesman problem is generalized to a fully interconnected “cellular” neural network of regular oscillators. Tours are defined by synchronization patterns, allowing the simultaneous representation of all cyclic permutations of a given tour. The network converges to local optima some of which correspond to shortest-distance tours, as can be shown analytically in a stationary phase approximation. Simulated annealing is required for global optimization, but the stochastic element might be replaced by chaotic intermittency in a further generalization of the architecture to a network of chaotic oscillators.
Chaos 19, 033114 (2009)
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