Two-dimensional nonlinear map characterized by tunable Lévy flights
نویسندگان
چکیده
منابع مشابه
Slow Lévy flights.
Among Markovian processes, the hallmark of Lévy flights is superdiffusion, or faster-than-Brownian dynamics. Here we show that Lévy laws, as well as Gaussian distributions, can also be the limit distributions of processes with long-range memory that exhibit very slow diffusion, logarithmic in time. These processes are path dependent and anomalous motion emerges from frequent relocations to alre...
متن کاملLévy flights in random environments.
We consider Lévy flights characterized by the step index f in a quenched random force field. By means of a dynamic renormalization group analysis we find that the dynamic exponent z for f < 2 locks onto f , independent of dimension and independent of the presence of weak quenched disorder. The critical dimension, however, depends on the step index f for f < 2 and is given by dc = 2f − 2. For d ...
متن کاملObservation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow.
Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by tracking large numbers of tracer particles for long times. Sticking and unsticking of particles to remnants of invariant surfaces (Cantori) around vortices results in superdiffusion: The variance of the displacement grows with time as t~ with p = 1.65+0.15. Sticking and flight time probability distribut...
متن کاملCrime Modeling with Lévy Flights
The UCLA burglary hotspot model, introduced in [M. B. Short, M. R. D’Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham, A. L. Bertozzi, and L. B. Chayes, Math. Models Methods Appl. Sci., 18 (2008), pp. 1249–1267], models the formation of hotspots of criminal activity. In this paper, we extend the UCLA model to incorporate a more realistic model of human locomotion. The movement of the crimin...
متن کاملLévy flights in inhomogeneous media.
We investigate the impact of external periodic potentials on superdiffusive random walks known as Lévy flights and show that even strongly superdiffusive transport is substantially affected by the external field. Unlike ordinary random walks, Lévy flights are surprisingly sensitive to the shape of the potential while their asymptotic behavior ceases to depend on the Lévy index mu. Our analysis ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2014
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.90.042138