Open AccessDYNAMICAL CHAOS IN 6 ï† -RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN AN AMPLITUDE MODULATED FORCE.
Author(s) -
Y. A. Amer,
S. M. Ahmed,
ManarM Dahshan,
N M Al
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i8.5074
Subject(s) - mathematics , chaotic , rayleigh scattering , amplitude , mathematical analysis , chaos (operating system) , stability (learning theory) , scale (ratio) , physics , quantum mechanics , computer security , artificial intelligence , machine learning , computer science
Chaotic behavior of6 ï† -Rayleigh oscillator with three wells is investigated. The method of multiple scale method is usedto solve the system up to 3rd order approximation. Effect of parameters is studied numerically; all resonance cases arestudied numerically to obtain the worst case. Stability of the system is investigated using both phase