摘要We investigate the continuous time domain numerical treatment of a van der Pol oscillator, applying the trial solution as an artificial feed-forward neural network model containing unknown adjustable parameters. The optimization of the network is performed by simulated annealing in an unsupervised method. The proposed scheme is tested successfully by its application in both non-stiff and stiff conditions. Its reliability and effectiveness is validated through comprehensive statistical analyses. The obtained results are in good agreement with the classical RK45 method.
Abstract：We investigate the continuous time domain numerical treatment of a van der Pol oscillator, applying the trial solution as an artificial feed-forward neural network model containing unknown adjustable parameters. The optimization of the network is performed by simulated annealing in an unsupervised method. The proposed scheme is tested successfully by its application in both non-stiff and stiff conditions. Its reliability and effectiveness is validated through comprehensive statistical analyses. The obtained results are in good agreement with the classical RK45 method.
Junaid Ali Khan**;Muhammad Asif Zahoor Raja**;Ijaz Mansoor Qureshi
. Novel Approach for a van der Pol Oscillator in the Continuous Time Domain[J]. 中国物理快报, 2011, 28(11): 110205-110205.
Junaid Ali Khan**, Muhammad Asif Zahoor Raja**, Ijaz Mansoor Qureshi
. Novel Approach for a van der Pol Oscillator in the Continuous Time Domain. Chin. Phys. Lett., 2011, 28(11): 110205-110205.
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