z-logo
Premium
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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here