Hopfield Neural Network with Chaotic Pulse Wave Solving Traveling Salesman Problems

In this study, in order to investigate the effect of chaotic oscillations of real biological signals on information processing ability, we investigate the performance of the Hopfield neural networks solving traveling salesman problems when the sampled data of chaotic pulse waves obtained from real biological experiments are poured into the neurons. Computer simulated results show that the performance of the chaotic pulse wave is better than the case of random noise.

[1]  Hayakawa,et al.  Effects of the chaotic noise on the performance of a neural network model for optimization problems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Kazuyuki Aihara,et al.  An analysis on Lyapunov spectrum of electroencephalographic (EEG) potentials , 1990 .

[3]  Yoshifumi Nishio,et al.  Solving ability of Hopfield Neural Network with scale-rule noise for QAP , 2008, 2008 IEEE International Symposium on Circuits and Systems.

[4]  F. Takens Detecting strange attractors in turbulence , 1981 .

[5]  Yoshifumi Nishio,et al.  Performance of chaotic switching noise injected to Hopfield NN for quadratic assignment problem , 2006, 2006 IEEE International Symposium on Circuits and Systems.

[6]  Search of Many Good Solutions of QAP by Connected Hopfield NNs with Intermittency Chaos Noise , 2004 .

[7]  Yoshifumi Nishio,et al.  PERFORMANCE OF CHAOS AND BURST NOISES INJECTED TO THE HOPFIELD NN FOR QUADRATIC ASSIGNMENT PROBLEMS , 2004 .

[8]  Yoshifumi Nishio,et al.  Effective Search with Hopping Chaos for Hopfield Neural Networks Solving QAP , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[9]  Sawada,et al.  Measurement of the Lyapunov spectrum from a chaotic time series. , 1985, Physical review letters.

[10]  Das Applicability of Lyapunov Exponent in EEG data analysis , 2022 .

[11]  P B Persson,et al.  Chaos in the cardiovascular system: an update. , 1998, Cardiovascular research.