Title :
Study of chaotic behavior in a nonlinear piezoelectric resonator
Author :
Abderraouf, Messai ; Ouassim, Menacer ; Skander, Aris ; Hatem, Mokhtari ; Malek, Benslama ; Fouzia, Maamri
Author_Institution :
Electron. Dept., Univ. of Constantine, Constantine, Algeria
Abstract :
In this paper, we have implemented the numerical simulation to obtain the properties of a forced piezoelectric resonator characterized by a non-autonomous second order nonlinear differential equation called Duffing equation itself. We also studied the chaotic behavior under high excitations and we tried to see the interest of the initial conditions and the influence of control parameters while moving from one stable state to unstable state and vice versa.
Keywords :
crystal resonators; numerical analysis; Duffing equation; chaotic property; forced piezoelectric resonator; non-autonomous second order nonlinear differential equation; nonlinear piezoelectric resonator; numerical simulation; Chaos; Conferences; Electrical engineering; Equations; Mathematical model; Tensile stress; Trajectory; chaotic; nonlinear system; piezoelectric system; resonator;
Conference_Titel :
Applied Electrical Engineering and Computing Technologies (AEECT), 2011 IEEE Jordan Conference on
Conference_Location :
Amman
Print_ISBN :
978-1-4577-1083-4
DOI :
10.1109/AEECT.2011.6132510