Open AccessON THE PHENOMENA OF CHAOS IN A FORCED VIBRATION SYSTEM WITH A SQUARE NONLINEAR TERM
Author(s) -
Liqun Chen
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.1874
Subject(s) - term (time) , nonlinear system , square (algebra) , chaos (operating system) , vibration , iterated function , mean square , physics , chaotic , mathematical analysis , mathematics , computer science , geometry , quantum mechanics , computer security , artificial intelligence
In this paper, the threshold of chaos in a forced vibration system with a square nonlinear term is given by using the Melnikov method. The effects of parameters on the threshold are analyzed. The known results obtained respectively by approximate 2-D iterated map and by numerically integrating the differential equation are compared with the results here.