NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.2, pp.184-187


Sticking Motions and Long Time Correlation in a Piecewise Linear Map.
T. Miyaguchi

A piecewise linear 1-dimensional map is introduced and studied. The map has a marginally stable fixed point (MSFP) at the origin and this leads to sticking motions of the chaotic orbits near the MSFP. It is found numerically that this system exhibits fluctuations. An extension of the system to an area-preserving 2-dimensional map is also discussed.
Key words: intermittency, power-law decay of correlation functions

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