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Noisy and chaotic conditions of a pendulum motion
Author(s) -
Borowiec Marek,
Litak Grzegorz
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910291
Subject(s) - chaotic , pendulum , multifractal system , noise (video) , double pendulum , physics , motion (physics) , statistical physics , control theory (sociology) , excited state , classical mechanics , mode (computer interface) , mathematics , inverted pendulum , computer science , mathematical analysis , nonlinear system , artificial intelligence , quantum mechanics , fractal , control (management) , image (mathematics) , operating system
The effect of noise on the rotational mode of a pendulum which is excited kinematically in vertical direction has been analyzed. We have applied the multifractal analysis to distinguish chaotic and noisy solutions in transitions from the oscillations to rotations motion of a pendulum. During increasing the noisy disturbance of the system we analyzed the basic multifractals criteria of the system as correlation and complexity. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)