Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B3L-C

Session:

Number:322

Anomalous diffusion generated by quasiperiodically forced maps with strange nonchaotic attractors

Takahito Mitsui,  Seiji Uenohara,  Yoshihiko Horio,  Kazuyuki Aihara,  

pp.322-325

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.322

PDF download (1MB)

The dispersion of trajectories in chaotic systems with spatial translational symmetry is referred to as deterministic diffusion. In a previous study, one of the authors showed that quasiperiodically forced systems with strange nonchaotic attractors (SNAs) produce anomalous diffusion characterized by nonlinear time evolutions of the variance. In the present study, we investigate anomalous diffusion generated by quasiperiodically forced maps with SNAs both numerically and experimentally. Due to SNAs, subdiffusion was observed in numerical simulations but in the experiment using an electronic circuit subdiffusion was not clearly observed due to the effect of noise. Nevertheless, we observed large fluctuations of local slope in the time evolution of the variance for the case of SNA.

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