Cauchy Processes, Dissipative Benjamin–Ono Dynamics and Fat-Tail Decaying Solitons
Keyword(s):
Fat Tail
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In this paper, a dissipative version of the Benjamin–Ono dynamics is shown to faithfully model the collective evolution of swarms of scalar Cauchy stochastic agents obeying a follow-the-leaderinteraction rule. Due to the Hilbert transform, the swarm dynamic is described by nonlinear and non-local dynamics that can be solved exactly. From the mutual interactions emerges a fat-tail soliton that can be obtained in a closed analytic form. The soliton median evolves nonlinearly with time. This behaviour can be clearly understood from the interaction of mutual agents.
2020 ◽
Vol 2020
(48)
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pp. 17-24
Keyword(s):
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2009 ◽
Vol 52
(3)
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pp. 507-510
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2015 ◽
Vol 2015
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pp. 1-3
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1968 ◽
Vol AES-4
(5)
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pp. 802-802
Keyword(s):