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[http://citeseer.nj.nec.com/35770.html]

FrankPasemann, NicoStollenwerk (1998)

["ChaoticAttractor"]s of DiscreteTime ["NeuralNetwork"]s include infinitely many unstable periodic orbits, which can be stabilized by small parameter changes in a feedback control. Here we explore the control of unstable periodic orbits in a ["Chaotic"] NeuralNetwork with only two ["Perceptron"]s. Analytically, a local control algorithm is derived on the bases of LeastSquaresMinimization of the future deviations between actual system states and the 'desired orbit'. This delayed control allows a consistent neural implementation, i.e. the same types of ["Perceptron"]s are used for chaotic and controlling modules. The control signal is realized with one layer of ["Perceptron"]s, allowing selective switching between different stabilized periodic orbits. For ["Chaotic"] modules with noise, random switching between different periodic orbits is observed."


2020-10-05 00:39