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Λ -Fractional Forced Van der Pol Oscillator with Horizon |
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PP: 313-321 |
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doi:10.18576/pfda/100211
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Author(s) |
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Dimitrios Karaoulanis,
Anastassios K. Lazopoulos,
Athanassios Pirentis,
Konstantinos A. Lazopoulos,
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Abstract |
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| Extending the investigation of the modified Van der Pol equation with its chaotic behaviour into the context of Λ -fractional analysis, the solutions of the Λ-fractional Van der Pol oscillator are studied under the influence of a horizon restricting the region of non-locality. The various solutions to the equation depend upon the horizon, however, the chaotic behaviour of the oscillator mainly depends upon the fractional order. A comparison of the chaotic behaviour of the various Van der Pol oscillator systems is presented.
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