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Regular and chaotic motion of a kicked pendulum: A Markovian approach
Author(s) -
Berger A.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811582
Subject(s) - chaotic , class (philosophy) , focus (optics) , computer science , pendulum , markov process , statistical physics , motion (physics) , inverted pendulum , double pendulum , control theory (sociology) , classical mechanics , mathematics , physics , artificial intelligence , nonlinear system , control (management) , statistics , quantum mechanics , optics
Abstract Mechanical devices subject to impulsive excitation may exhibit very complicated dynamics. Though desirable, a complete analysis of the statistical morphogenesis of (the maps induced by) such systems usually is highly demanding. We therefore focus on a special class of maps nevertheless wide enough to comprise a number of interesting examples. Furthermore, an approximation technique tailored to this specific class is shown to improve Markovian approximation techniques discussed in the literature.