Open AccessChaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation
Author(s) -
Niu Yu-Jun,
Wei Xu,
Rong Hai-Wu,
Liang Wang,
Jinqian Feng
Publication year - 2008
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.57.7535
Subject(s) - bounded function , parametric statistics , perturbation (astronomy) , duffing equation , mathematical analysis , fourier series , type (biology) , statistical physics , nonlinear system , physics , mathematics , quantum mechanics , statistics , ecology , biology
In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.