Extreme events in the forced Liénard system

Extreme events in the forced Liénard system

We observe extremely large amplitude intermittent spikings in a dynamical variable of a periodically forced Liénard-type oscillator and characterize them as extreme events, which are rare, but recurrent and larger in amplitude than a threshold. The extreme events occur via two processes, an interior...

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Veröffentlicht in:Physical review. E 2017-11, Vol.96 (5-1), p.052204-052204, Article 052204
Hauptverfasser: Kingston, S Leo, Thamilmaran, K, Pal, Pinaki, Feudel, Ulrike, Dana, Syamal K
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container_issue 5-1
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container_title Physical review. E
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creator Kingston, S Leo
Thamilmaran, K
Pal, Pinaki
Feudel, Ulrike
Dana, Syamal K
description We observe extremely large amplitude intermittent spikings in a dynamical variable of a periodically forced Liénard-type oscillator and characterize them as extreme events, which are rare, but recurrent and larger in amplitude than a threshold. The extreme events occur via two processes, an interior crisis and intermittency. The probability of occurrence of the events shows a long-tail distribution in both the cases. We provide evidence of the extreme events in an experiment using an electronic analog circuit of the Liénard oscillator that shows good agreement with our numerical results.
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