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Novel Approach for a van der Pol Oscillator in the Continuous Time Domain |
| Junaid Ali Khan**, Muhammad Asif Zahoor Raja**, Ijaz Mansoor Qureshi
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Department of Electronic Engineering, International Islamic University, Islamabad, Pakistan
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Junaid Ali Khan, Muhammad Asif Zahoor Raja, Ijaz Mansoor Qureshi 2011 Chin. Phys. Lett. 28 110205 |
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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.
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02.60.Lj
07.05.Mh
84.35.+i
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Received: 03 June 2011
Published: 30 October 2011
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| PACS: |
02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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07.05.Mh
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(Neural networks, fuzzy logic, artificial intelligence)
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84.35.+i
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(Neural networks)
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