Fractional Fourier Detection of L´evy Flights: Application to Hamiltonian Chaotic Trajectories
نویسندگان
چکیده
منابع مشابه
Evidence for biological L\'evy flights stands
Edwards et al. 1 revisited well-known studies reporting power-laws in the frequency distribution of flight duration of wandering albatrosses 2,3 , and concluded that no Lévy process 4,5 could model recent observations with higher resolution. Here we show that this re-analysis 1 suffers from a conceptual misunderstanding, and that the new albatross data remain consistent with a biological Lévy f...
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Article history: Lévy flights represent the best strategy to randomly search for a target in an unknown environment, and have been widely observed in many animal species. Here, we inspect and discuss recent results concerning human behavior and cognition. Different studies have shown that human mobility can be described in terms of Lévy flights, while fresh evidence indicates that the same patt...
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We consider different generalizations of the Fokker–Planck equation (FPE) devised to describe L evy processes in potential force fields. We show that such generalizations can proceed along different lines. On one hand, L evy statistics can emerge from the fractal temporal nature of the underlying process, i.e., a high variability in the rate of microscopic events. On the other hand, they may be...
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ژورنال
عنوان ژورنال: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
سال: 2013
ISSN: 2164-6376,2164-6414
DOI: 10.5890/dnc.2013.04.001